mielke-geometrodynamics: formula evidence

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1767 rows

24 rows show a REFINEMENT below, not the OCR reading: 24 verified against the census. Each is marked [refined] beside its identifier. The model is unchanged — the original reading is still what `latex` holds; this report chose the refinement for them. Rows: mielke-geometrodynamics_FO0431, mielke-geometrodynamics_FO0437, mielke-geometrodynamics_FO0450, mielke-geometrodynamics_FO0464, mielke-geometrodynamics_FO0506, mielke-geometrodynamics_FO0571 …

Inline formulas (first occurrence) (1767)

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IdentifierPageConf.LaTeX sourceRenderedImage
mielke-geometrodynamics_FO000171.000Amielke-geometrodynamics_FO0001
mielke-geometrodynamics_FO000270.980\operatorname{SL}(5, \mathbb{R})mielke-geometrodynamics_FO0002
mielke-geometrodynamics_FO0003330.985\mathbb{R}mielke-geometrodynamics_FO0003
mielke-geometrodynamics_FO0004171.000\betamielke-geometrodynamics_FO0004
mielke-geometrodynamics_FO0005170.965\mathrm{W}^{ \pm}mielke-geometrodynamics_FO0005
mielke-geometrodynamics_FO0006170.965\mathrm{Z}^{\mathrm{o}}mielke-geometrodynamics_FO0006
mielke-geometrodynamics_FO0007191.0001 \times 10^{-12}mielke-geometrodynamics_FO0007
mielke-geometrodynamics_FO0008201.000\partial_{j}mielke-geometrodynamics_FO0008
mielke-geometrodynamics_FO0009211.000D_{j}:=\partial_{j}+i A_{j}mielke-geometrodynamics_FO0009
mielke-geometrodynamics_FO0010211.000A_{j}mielke-geometrodynamics_FO0010
mielke-geometrodynamics_FO0011211.000\psi \rightarrow \mathrm{e}^{\mathrm{i} \theta} \psimielke-geometrodynamics_FO0011
mielke-geometrodynamics_FO0012211.000\psimielke-geometrodynamics_FO0012
mielke-geometrodynamics_FO0013211.000A_{j} \rightarrow A_{j}-\partial_{j} \thetamielke-geometrodynamics_FO0013
mielke-geometrodynamics_FO0014220.526\mathrm{n}>4mielke-geometrodynamics_FO0014
mielke-geometrodynamics_FO0015230.343{ }^{+}mielke-geometrodynamics_FO0015
mielke-geometrodynamics_FO0016230.343\mathrm{A}_{2}, \mathrm{~K}^{*}(1420)mielke-geometrodynamics_FO0016
mielke-geometrodynamics_FO0017230.987\operatorname{SL}(2, \mathbb{C})mielke-geometrodynamics_FO0017
mielke-geometrodynamics_FO0018230.697\operatorname{SU}(3)mielke-geometrodynamics_FO0018
mielke-geometrodynamics_FO0019230.997\operatorname{SL}(2, \mathbb{C}) \subset \operatorname{SL}(2, \mathbb{C}) \otimes \operatorname{SU}(3) \subset \operatorname{SL}(6, \mathbb{C})mielke-geometrodynamics_FO0019
mielke-geometrodynamics_FO0020240.834\operatorname{SL}(6, \mathbb{C})mielke-geometrodynamics_FO0020
mielke-geometrodynamics_FO0021241.000\ell:=\ell^{*} / \sqrt{\kappa}mielke-geometrodynamics_FO0021
mielke-geometrodynamics_FO0022240.995\mathrm{G}_{\mathrm{S}}=\mathrm{G}_{\mathrm{N}} / \kappamielke-geometrodynamics_FO0022
mielke-geometrodynamics_FO0023251.000\sqrt{\mathrm{s}}=540 \mathrm{GeV}mielke-geometrodynamics_FO0023
mielke-geometrodynamics_FO0024301.000\mathrm{x}: \mathrm{M} \rightarrow \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0024
mielke-geometrodynamics_FO0025301.000\mathrm{E}^{\mathrm{n}}mielke-geometrodynamics_FO0025
mielke-geometrodynamics_FO0026300.993\mathrm{U}_{\mathrm{i}}mielke-geometrodynamics_FO0026
mielke-geometrodynamics_FO0027300.993\pi_{i}mielke-geometrodynamics_FO0027
mielke-geometrodynamics_FO0028301.000\mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0028
mielke-geometrodynamics_FO0029301.000\mathrm{x}_{i}=\pi_{i} \circ \mathrm{x}, i=1, \ldots, \mathrm{n}mielke-geometrodynamics_FO0029
mielke-geometrodynamics_FO0030301.000\mathrm{S}^{\mathrm{n}}mielke-geometrodynamics_FO0030
mielke-geometrodynamics_FO0031310.996\mathrm{U}_{\mathrm{i}} \subset \mathrm{M}mielke-geometrodynamics_FO0031
mielke-geometrodynamics_FO0032310.999\mathscr{D}(\mathrm{M})mielke-geometrodynamics_FO0032
mielke-geometrodynamics_FO0033311.000\left(\mathrm{U}_{\mathrm{i}}, \mathrm{x}_{\mathrm{i}}\right)mielke-geometrodynamics_FO0033
mielke-geometrodynamics_FO0034311.000\mathrm{C}^{\infty}mielke-geometrodynamics_FO0034
mielke-geometrodynamics_FO0035310.997\mathrm{C}^{\mathrm{r}}mielke-geometrodynamics_FO0035
mielke-geometrodynamics_FO0036321.000\mathrm{E}^{\mathrm{n}(\mathrm{n}+1) / 2}mielke-geometrodynamics_FO0036
mielke-geometrodynamics_FO0037320.936N=n(3 n+11) / 2mielke-geometrodynamics_FO0037
mielke-geometrodynamics_FO0038321.000N=n(n+1)(3 n+11) / 2mielke-geometrodynamics_FO0038
mielke-geometrodynamics_FO0039321.000\mathbb{E}^{4}mielke-geometrodynamics_FO0039
mielke-geometrodynamics_FO0040320.997\mathrm{T}_{\mathrm{m}}(\mathrm{M})mielke-geometrodynamics_FO0040
mielke-geometrodynamics_FO0041320.997\mathrm{m} \in \mathrm{M}mielke-geometrodynamics_FO0041
mielke-geometrodynamics_FO0042320.573\mathrm{s}(\mathrm{t})mielke-geometrodynamics_FO0042
mielke-geometrodynamics_FO0043330.985\mathrm{e}(\mathrm{m})mielke-geometrodynamics_FO0043
mielke-geometrodynamics_FO0044330.999\mathrm{e}_{\alpha}(\mathrm{m}), \alpha=1, \ldots, \mathrm{n}mielke-geometrodynamics_FO0044
mielke-geometrodynamics_FO0045331.000\partial_{i}:=\partial / \partial \mathrm{x}^{i}mielke-geometrodynamics_FO0045
mielke-geometrodynamics_FO0046331.000\left[\mathrm{e}_{i}(\mathrm{~m}), \mathrm{e}_{j}(\mathrm{~m})\right]=\left[\partial_{i}, \partial_{j}\right]=0mielke-geometrodynamics_FO0046
mielke-geometrodynamics_FO0047331.000\mathrm{e}_{\alpha}^{i}(m)mielke-geometrodynamics_FO0047
mielke-geometrodynamics_FO0048330.628\mathrm{T}(\mathrm{M})mielke-geometrodynamics_FO0048
mielke-geometrodynamics_FO0049330.628\mathrm{T}^{*}(\mathrm{M})=\bigcup_{\mathrm{m} \in \mathrm{M}} \mathrm{T}_{\mathrm{m}}^{*}(\mathrm{M})mielke-geometrodynamics_FO0049
mielke-geometrodynamics_FO0050331.000\mathrm{T}_{\mathrm{m}}^{*}(\mathrm{M})mielke-geometrodynamics_FO0050
mielke-geometrodynamics_FO0051331.000\vartheta^{\alpha}, \alpha=1, \ldots, nmielke-geometrodynamics_FO0051
mielke-geometrodynamics_FO0052331.000\vartheta^{\alpha}mielke-geometrodynamics_FO0052
mielke-geometrodynamics_FO0053330.999\mathrm{dx}^{i}mielke-geometrodynamics_FO0053
mielke-geometrodynamics_FO0054340.998\mathrm{d} \vartheta^{\alpha}mielke-geometrodynamics_FO0054
mielke-geometrodynamics_FO0055340.998\mathrm{dx}^{j}mielke-geometrodynamics_FO0055
mielke-geometrodynamics_FO0056340.599\mathrm{E}_{.}^{\alpha}{ }_{j}mielke-geometrodynamics_FO0056
mielke-geometrodynamics_FO0057340.599\mathrm{e}_{\beta}^{i}mielke-geometrodynamics_FO0057
mielke-geometrodynamics_FO0058340.979\otimes_{\mathrm{s}, \mathrm{a}}mielke-geometrodynamics_FO0058
mielke-geometrodynamics_FO0059341.000\veemielke-geometrodynamics_FO0059
mielke-geometrodynamics_FO0060341.000\wedgemielke-geometrodynamics_FO0060
mielke-geometrodynamics_FO0061340.962\mathrm{T}_{\alpha_{1} \cdots \alpha_{\mathrm{p}}}^{\beta_{1} \cdots \beta_{\mathrm{q}}}(\mathrm{m})mielke-geometrodynamics_FO0061
mielke-geometrodynamics_FO0062340.919\mathrm{T}_{\mathrm{p}}^{\mathrm{q}}(\mathrm{M})mielke-geometrodynamics_FO0062
mielke-geometrodynamics_FO0063340.919\mathrm{L}(\mathrm{M})mielke-geometrodynamics_FO0063
mielke-geometrodynamics_FO0064340.708\mathrm{D}^{(\mathrm{p}, \mathrm{q})}mielke-geometrodynamics_FO0064
mielke-geometrodynamics_FO0065340.708\rho^{(\mathrm{p}, \mathrm{q})}(\mathrm{GL}(\mathrm{n}, \mathbb{R}))mielke-geometrodynamics_FO0065
mielke-geometrodynamics_FO0066340.907\otimes^{\mathrm{p} *} \mathbb{R}^{\mathrm{n}} \otimes^{\mathrm{q}} \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0066
mielke-geometrodynamics_FO0067341.000\mathrm{g}_{\mu \nu}mielke-geometrodynamics_FO0067
mielke-geometrodynamics_FO0068350.651(\mathrm{p}, 0)mielke-geometrodynamics_FO0068
mielke-geometrodynamics_FO0069350.651\wedge:=\otimes_{\mathrm{a}}mielke-geometrodynamics_FO0069
mielke-geometrodynamics_FO0070351.000(1939,1957)mielke-geometrodynamics_FO0070
mielke-geometrodynamics_FO0071361.000\mathscr{H}mielke-geometrodynamics_FO0071
mielke-geometrodynamics_FO0072360.997\varphimielke-geometrodynamics_FO0072
mielke-geometrodynamics_FO0073360.997\varphi(\mathrm{m})mielke-geometrodynamics_FO0073
mielke-geometrodynamics_FO0074361.000\mathrm{V}_{\mathrm{m}}mielke-geometrodynamics_FO0074
mielke-geometrodynamics_FO0075360.941\pimielke-geometrodynamics_FO0075
mielke-geometrodynamics_FO0076360.362\mathrm{F}_{\mathrm{m}}:=-\pi^{-1}(\mathrm{~m})mielke-geometrodynamics_FO0076
mielke-geometrodynamics_FO0077370.980\pi^{-1}(\mathrm{U}) \approx \mathrm{U} \times \mathrm{F}_{\mathrm{m}}mielke-geometrodynamics_FO0077
mielke-geometrodynamics_FO0078370.686\left(\mathrm{U} \times \mathrm{F}_{\mathrm{m}}, \mathrm{U}, \pi_{\mathrm{u}}\right)mielke-geometrodynamics_FO0078
mielke-geometrodynamics_FO0079370.637\mathrm{P}(\mathrm{M}, \mathrm{G}, \pi, \delta)mielke-geometrodynamics_FO0079
mielke-geometrodynamics_FO0080370.790(\mathrm{P}, \mathrm{M}, \pi)mielke-geometrodynamics_FO0080
mielke-geometrodynamics_FO0081370.866\mathrm{P}, \mathrm{G}, \deltamielke-geometrodynamics_FO0081
mielke-geometrodynamics_FO0082370.662\mathrm{U} \subsetmielke-geometrodynamics_FO0082
mielke-geometrodynamics_FO0083370.941\iota: \mathrm{U} \times \mathrm{G} \rightarrow{ }^{-1}(\mathrm{U})mielke-geometrodynamics_FO0083
mielke-geometrodynamics_FO0084370.857Gmielke-geometrodynamics_FO0084
mielke-geometrodynamics_FO0085370.970\mathrm{p}_{2}=\mathrm{g} \mathrm{p}_{1}mielke-geometrodynamics_FO0085
mielke-geometrodynamics_FO0086370.970\mathrm{p}_{1}mielke-geometrodynamics_FO0086
mielke-geometrodynamics_FO0087370.666\mathrm{p}_{2}mielke-geometrodynamics_FO0087
mielke-geometrodynamics_FO0088380.985\pi, \deltamielke-geometrodynamics_FO0088
mielke-geometrodynamics_FO0089380.999\mathrm{P} \times \mathrm{F}mielke-geometrodynamics_FO0089
mielke-geometrodynamics_FO0090380.678\mathrm{V}=\mathrm{P} \times_{\mathrm{G}} \mathrm{F}mielke-geometrodynamics_FO0090
mielke-geometrodynamics_FO0091380.678{ }^{-1}(\mathrm{U}) \approx \mathrm{U} \times \mathrm{G}mielke-geometrodynamics_FO0091
mielke-geometrodynamics_FO0092380.307{ }^{-1}{ }_{\mathrm{v}}(\mathrm{U}) \approx \mathrm{U} \times \mathrm{F}mielke-geometrodynamics_FO0092
mielke-geometrodynamics_FO0093380.907{ }^{-1} \pi_{\mathrm{v}}(\mathrm{U})mielke-geometrodynamics_FO0093
mielke-geometrodynamics_FO0094380.998\rho: \mathrm{G} \rightarrow \mathrm{GL}(\mathrm{N}, \mathbb{C})mielke-geometrodynamics_FO0094
mielke-geometrodynamics_FO0095380.852\mathrm{N} \times \mathrm{N}mielke-geometrodynamics_FO0095
mielke-geometrodynamics_FO0096380.780\mathbb{C}^{\mathrm{N}}mielke-geometrodynamics_FO0096
mielke-geometrodynamics_FO0097381.000\mathrm{T}_{\mathbb{C}}^{*}(\mathrm{M})mielke-geometrodynamics_FO0097
mielke-geometrodynamics_FO0098381.000\rhomielke-geometrodynamics_FO0098
mielke-geometrodynamics_FO0099380.986\mathrm{N} \geq 1mielke-geometrodynamics_FO0099
mielke-geometrodynamics_FO0100381.000\mathrm{b}=\left(\mathrm{b}_{\mathrm{A}}\right): \mathrm{U} \subset \mathrm{M} \rightarrowmielke-geometrodynamics_FO0100
mielke-geometrodynamics_FO0101381.000\mathrm{V}^{\rho}mielke-geometrodynamics_FO0101
mielke-geometrodynamics_FO0102391.000\rho: \mathrm{G} \rightarrow \operatorname{GL}(N, \mathbb{C})mielke-geometrodynamics_FO0102
mielke-geometrodynamics_FO0103390.964\rho_{\mathrm{A}}{ }^{\mathrm{B}}(\mathrm{g}(\xi))mielke-geometrodynamics_FO0103
mielke-geometrodynamics_FO0104390.964\xi^{\mathrm{j}}(\mathrm{j}=1, \ldots, \operatorname{dim} \mathrm{G})mielke-geometrodynamics_FO0104
mielke-geometrodynamics_FO0105391.000\rho=\mathrm{id}mielke-geometrodynamics_FO0105
mielke-geometrodynamics_FO0106391.000\mathrm{I}_{\mathrm{j}}mielke-geometrodynamics_FO0106
mielke-geometrodynamics_FO0107390.938\mathfrak{g}mielke-geometrodynamics_FO0107
mielke-geometrodynamics_FO0108391.000\mathrm{c}_{\mathrm{ij}}{ }^{\mathrm{k}}mielke-geometrodynamics_FO0108
mielke-geometrodynamics_FO0109390.960\mathrm{V}^{\mathrm{Ad}}mielke-geometrodynamics_FO0109
mielke-geometrodynamics_FO0110390.983\mathrm{s}(\mathrm{t}) \subset \mathrm{M}mielke-geometrodynamics_FO0110
mielke-geometrodynamics_FO0111391.000\mathrm{T}_{\mathrm{p}}{ }^{*}(\mathrm{P})mielke-geometrodynamics_FO0111
mielke-geometrodynamics_FO0112391.000\mathrm{p} \in \mathrm{P}mielke-geometrodynamics_FO0112
mielke-geometrodynamics_FO0113401.000\mathrm{T}_{\mathrm{p}}{ }^{*}(\mathrm{P})=\mathrm{H}_{\mathrm{p}} \oplus \mathrm{V}_{\mathrm{p}}mielke-geometrodynamics_FO0113
mielke-geometrodynamics_FO0114401.000\mathrm{F}_{\mathrm{m}}(\mathrm{M})mielke-geometrodynamics_FO0114
mielke-geometrodynamics_FO0115400.999\omega(\mathrm{e}) \in \mathscr{C}mielke-geometrodynamics_FO0115
mielke-geometrodynamics_FO0116401.000\mathrm{e}_{\mathrm{v}}=\mathrm{pdg} \in \mathrm{V}_{\mathrm{p}}mielke-geometrodynamics_FO0116
mielke-geometrodynamics_FO0117401.000\bigwedge^{\mathrm{p}} \mathrm{T}_{\mathbb{C}}^{*}(\mathrm{M}) \otimes V^{\rho}mielke-geometrodynamics_FO0117
mielke-geometrodynamics_FO0118401.000\mathrm{T}_{\mathbb{C}}^{*}(\mathrm{M}) \otimes \mathrm{V}^{\rho}mielke-geometrodynamics_FO0118
mielke-geometrodynamics_FO0119411.000V^{\rho}mielke-geometrodynamics_FO0119
mielke-geometrodynamics_FO0120410.856bmielke-geometrodynamics_FO0120
mielke-geometrodynamics_FO0121410.641\mathrm{b}_{\mathrm{A}}, \mathrm{A}=1, \ldots, \mathrm{~N}mielke-geometrodynamics_FO0121
mielke-geometrodynamics_FO0122410.996\mathrm{V}_{\mathbb{U}}^{\rho}mielke-geometrodynamics_FO0122
mielke-geometrodynamics_FO0123410.998\mathrm{b}_{\mathrm{A}}mielke-geometrodynamics_FO0123
mielke-geometrodynamics_FO0124410.998\left[\omega_{\mathrm{A}}{ }^{\mathrm{B}}\right]mielke-geometrodynamics_FO0124
mielke-geometrodynamics_FO0125411.000\Gamma_{\alpha}^{\mathrm{j}}(\mathrm{m})mielke-geometrodynamics_FO0125
mielke-geometrodynamics_FO0126420.997\mathrm{dd} \equiv 0mielke-geometrodynamics_FO0126
mielke-geometrodynamics_FO0127421.000\partial \partial \equiv 0mielke-geometrodynamics_FO0127
mielke-geometrodynamics_FO0128420.905\Omegamielke-geometrodynamics_FO0128
mielke-geometrodynamics_FO0129421.000\mathrm{G}=\mathrm{U}(1)mielke-geometrodynamics_FO0129
mielke-geometrodynamics_FO0130431.000\circlearrowleft=\partial \mathrm{U} \subset \mathrm{M}mielke-geometrodynamics_FO0130
mielke-geometrodynamics_FO0131431.000\partial \mathrm{U}mielke-geometrodynamics_FO0131
mielke-geometrodynamics_FO0132431.000\mathrm{e}(\mathrm{m}) \in \mathrm{T}_{\mathrm{m}}(\mathrm{M})mielke-geometrodynamics_FO0132
mielke-geometrodynamics_FO0133440.996\mathrm{G}(\mathrm{p})mielke-geometrodynamics_FO0133
mielke-geometrodynamics_FO0134440.897\mathrm{F}_{\mathrm{m}}=\pi^{-1}(\mathrm{~m})mielke-geometrodynamics_FO0134
mielke-geometrodynamics_FO0135441.000\mathscr{G}_{\mathrm{P}}mielke-geometrodynamics_FO0135
mielke-geometrodynamics_FO0136450.513\exp : \mathfrak{g} \rightarrow \mathrm{G}mielke-geometrodynamics_FO0136
mielke-geometrodynamics_FO0137450.614P \times{ }_{\mathrm{Ad}} \mathrm{G}mielke-geometrodynamics_FO0137
mielke-geometrodynamics_FO0138451.000\theta^{k}(m) \in C^{\infty}(M)mielke-geometrodynamics_FO0138
mielke-geometrodynamics_FO0139450.984\mathrm{V}^{\rho}\left(\mathrm{M}, \mathbb{C}^{\mathrm{N}}, \operatorname{GL}(\mathrm{N}, \mathbb{C}), \mathrm{P}\right)mielke-geometrodynamics_FO0139
mielke-geometrodynamics_FO0140451.000\mathscr{G}_{\mathrm{V}}mielke-geometrodynamics_FO0140
mielke-geometrodynamics_FO0141451.000\mathrm{L}^{\mathrm{k}}mielke-geometrodynamics_FO0141
mielke-geometrodynamics_FO0142450.482\rho: \mathrm{G} \rightarrow \operatorname{GL}(\mathrm{N}, \mathbb{C})mielke-geometrodynamics_FO0142
mielke-geometrodynamics_FO0143451.000\bar{\varphi}mielke-geometrodynamics_FO0143
mielke-geometrodynamics_FO0144451.000\bar{\rho}mielke-geometrodynamics_FO0144
mielke-geometrodynamics_FO0145460.798\mathrm{V}\left(\mathrm{M}, \mathbb{C}^{\mathrm{N}}, \mathrm{GL}(\mathrm{N}, \mathbb{C}), \mathrm{P}\right)mielke-geometrodynamics_FO0145
mielke-geometrodynamics_FO0146460.438\gamma_{\mathrm{k}}mielke-geometrodynamics_FO0146
mielke-geometrodynamics_FO0147461.000\mathrm{k} \leq n / 2mielke-geometrodynamics_FO0147
mielke-geometrodynamics_FO0148461.000\omegamielke-geometrodynamics_FO0148
mielke-geometrodynamics_FO0149460.959\mathrm{k}^{\text {th }}mielke-geometrodynamics_FO0149
mielke-geometrodynamics_FO0150460.570\mathrm{c}_{\mathrm{k}}(\mathrm{V})mielke-geometrodynamics_FO0150
mielke-geometrodynamics_FO0151460.546V^{\mathbb{R}}mielke-geometrodynamics_FO0151
mielke-geometrodynamics_FO0152460.983\mathbb{R}^{\mathrm{N}}mielke-geometrodynamics_FO0152
mielke-geometrodynamics_FO0153460.753\mathbb{C}^{N}mielke-geometrodynamics_FO0153
mielke-geometrodynamics_FO0154460.753\mathrm{V}^{\mathbb{R}}mielke-geometrodynamics_FO0154
mielke-geometrodynamics_FO0155471.000\mathrm{s}=0mielke-geometrodynamics_FO0155
mielke-geometrodynamics_FO0156471.000\mathrm{P}\left(\mathrm{S}^{4}, \mathrm{SU}(\mathrm{f}), \pi, \delta\right)mielke-geometrodynamics_FO0156
mielke-geometrodynamics_FO0157471.000\operatorname{det} \mathrm{G}=1mielke-geometrodynamics_FO0157
mielke-geometrodynamics_FO0158470.565\operatorname{Tr}(\Omega \wedge \Omega)mielke-geometrodynamics_FO0158
mielke-geometrodynamics_FO0159470.892\stackrel{*}{\pi}\left(\gamma_{2}\right)mielke-geometrodynamics_FO0159
mielke-geometrodynamics_FO0160470.992\mathrm{G}=\mathrm{SU}(\mathrm{f})mielke-geometrodynamics_FO0160
mielke-geometrodynamics_FO0161470.827\mathrm{SU}(2)mielke-geometrodynamics_FO0161
mielke-geometrodynamics_FO0162470.749\widetilde{\mathrm{SO}}(4) \approx \mathrm{SU}(2) \otimes \mathrm{SU}(2)mielke-geometrodynamics_FO0162
mielke-geometrodynamics_FO0163470.995\gamma_{2}mielke-geometrodynamics_FO0163
mielke-geometrodynamics_FO0164481.000\mathrm{F}_{\alpha \beta}{ }^{\mathrm{j}}mielke-geometrodynamics_FO0164
mielke-geometrodynamics_FO0165481.000|\mathrm{x}|^{-2}mielke-geometrodynamics_FO0165
mielke-geometrodynamics_FO0166491.000|x| \rightarrow \inftymielke-geometrodynamics_FO0166
mielke-geometrodynamics_FO0167491.000\stackrel{\infty}{\omega}mielke-geometrodynamics_FO0167
mielke-geometrodynamics_FO0168490.978\partial \mathrm{M}mielke-geometrodynamics_FO0168
mielke-geometrodynamics_FO0169490.999\mathrm{G}=\mathrm{SU}(2)mielke-geometrodynamics_FO0169
mielke-geometrodynamics_FO0170491.000\mathrm{S}^{3}mielke-geometrodynamics_FO0170
mielke-geometrodynamics_FO0171491.000\mathrm{c}_{2}(\mathrm{M})mielke-geometrodynamics_FO0171
mielke-geometrodynamics_FO0172490.954\mathrm{S}^{3} \approx \mathrm{SU}(2)mielke-geometrodynamics_FO0172
mielke-geometrodynamics_FO0173490.995\mathrm{n}^{\text {th }}mielke-geometrodynamics_FO0173
mielke-geometrodynamics_FO0174491.000\mathbb{Z}mielke-geometrodynamics_FO0174
mielke-geometrodynamics_FO0175491.000\pi_{n}\left(S^{n}\right)=\mathbb{Z}mielke-geometrodynamics_FO0175
mielke-geometrodynamics_FO0176491.000\mathrm{S}^{\mathrm{n}} \rightarrow \mathrm{S}^{\mathrm{n}}mielke-geometrodynamics_FO0176
mielke-geometrodynamics_FO0177521.000\delta \varphimielke-geometrodynamics_FO0177
mielke-geometrodynamics_FO0178521.000\varphi+\delta \varphimielke-geometrodynamics_FO0178
mielke-geometrodynamics_FO0179530.937(n-1)mielke-geometrodynamics_FO0179
mielke-geometrodynamics_FO0180530.937d \varphimielke-geometrodynamics_FO0180
mielke-geometrodynamics_FO0181531.000\deltamielke-geometrodynamics_FO0181
mielke-geometrodynamics_FO0182531.000smielke-geometrodynamics_FO0182
mielke-geometrodynamics_FO0183531.000d d \equiv 0mielke-geometrodynamics_FO0183
mielke-geometrodynamics_FO0184530.913\mathrm{x}^{i}mielke-geometrodynamics_FO0184
mielke-geometrodynamics_FO0185541.000\varphi \rightarrow \psi:=\left(\varphi, \Theta^{(1)}:=d \varphi\right)mielke-geometrodynamics_FO0185
mielke-geometrodynamics_FO0186541.000\mathscr{D}(M)mielke-geometrodynamics_FO0186
mielke-geometrodynamics_FO0187541.000\mathscr{G}mielke-geometrodynamics_FO0187
mielke-geometrodynamics_FO0188540.989L_{\text {mat }}mielke-geometrodynamics_FO0188
mielke-geometrodynamics_FO0189551.000\bar{\varphi} \mathscr{O} \varphimielke-geometrodynamics_FO0189
mielke-geometrodynamics_FO0190551.000\mathscr{O}mielke-geometrodynamics_FO0190
mielke-geometrodynamics_FO0191550.996\omega^{\prime}mielke-geometrodynamics_FO0191
mielke-geometrodynamics_FO0192550.996\mathrm{GdG}^{-1}mielke-geometrodynamics_FO0192
mielke-geometrodynamics_FO0193551.000\mathrm{G} \in \mathscr{G}_{\mathrm{V}}mielke-geometrodynamics_FO0193
mielke-geometrodynamics_FO0194551.000{ }^{\mathrm{G}} \omegamielke-geometrodynamics_FO0194
mielke-geometrodynamics_FO0195551.000{ }^{\mathrm{G}} \mathrm{b}mielke-geometrodynamics_FO0195
mielke-geometrodynamics_FO0196551.000\mathrm{G}^{-1}mielke-geometrodynamics_FO0196
mielke-geometrodynamics_FO0197560.749{ }_{\sigma_{\alpha}}^{*} \omegamielke-geometrodynamics_FO0197
mielke-geometrodynamics_FO0198560.818G^{-1} \omegamielke-geometrodynamics_FO0198
mielke-geometrodynamics_FO0199561.000\bar{\omega}mielke-geometrodynamics_FO0199
mielke-geometrodynamics_FO0200561.000\bar{\Omega}=\mathrm{G}^{-1} \Omega \mathrm{G}mielke-geometrodynamics_FO0200
mielke-geometrodynamics_FO0201561.000d^{*} \omega \simeq 0mielke-geometrodynamics_FO0201
mielke-geometrodynamics_FO0202561.000A=A_{i} d x^{i}mielke-geometrodynamics_FO0202
mielke-geometrodynamics_FO0203561.000Fmielke-geometrodynamics_FO0203
mielke-geometrodynamics_FO0204570.992d d \Phi \equiv 0mielke-geometrodynamics_FO0204
mielke-geometrodynamics_FO0205570.992\Phimielke-geometrodynamics_FO0205
mielke-geometrodynamics_FO0206571.000d F \equiv 0mielke-geometrodynamics_FO0206
mielke-geometrodynamics_FO0207571.000F=d Amielke-geometrodynamics_FO0207
mielke-geometrodynamics_FO0208570.981U(1)mielke-geometrodynamics_FO0208
mielke-geometrodynamics_FO0209571.000D \rightarrow \mathscr{D}:=D+i e Amielke-geometrodynamics_FO0209
mielke-geometrodynamics_FO0210571.000Lmielke-geometrodynamics_FO0210
mielke-geometrodynamics_FO0211570.980\Psimielke-geometrodynamics_FO0211
mielke-geometrodynamics_FO0212571.000S=\int Lmielke-geometrodynamics_FO0212
mielke-geometrodynamics_FO0213571.000Hmielke-geometrodynamics_FO0213
mielke-geometrodynamics_FO0214581.000d d H \equiv 0mielke-geometrodynamics_FO0214
mielke-geometrodynamics_FO0215581.000jmielke-geometrodynamics_FO0215
mielke-geometrodynamics_FO0216581.000C:=A \wedge F=A \wedge d Amielke-geometrodynamics_FO0216
mielke-geometrodynamics_FO0217581.000Pmielke-geometrodynamics_FO0217
mielke-geometrodynamics_FO0218580.885\stackrel{\theta}{L}=-\left(\cos \theta F \wedge{ }^{*} F+\sin \theta F \wedge F\right) / 2mielke-geometrodynamics_FO0218
mielke-geometrodynamics_FO0219580.885\thetamielke-geometrodynamics_FO0219
mielke-geometrodynamics_FO0220590.950*mielke-geometrodynamics_FO0220
mielke-geometrodynamics_FO0221590.950gmielke-geometrodynamics_FO0221
mielke-geometrodynamics_FO0222591.000\etamielke-geometrodynamics_FO0222
mielke-geometrodynamics_FO0223591.000\partial \mathfrak{D} / \partial tmielke-geometrodynamics_FO0223
mielke-geometrodynamics_FO0224591.000\mathfrak{D}=\varepsilon \mathbf{E}mielke-geometrodynamics_FO0224
mielke-geometrodynamics_FO0225601.000\vartheta_{[\alpha} \wedge \Sigma_{\beta]}=0mielke-geometrodynamics_FO0225
mielke-geometrodynamics_FO0226601.000B=\frac{1}{2} B_{i j} d x^{i} \wedge d x^{j}mielke-geometrodynamics_FO0226
mielke-geometrodynamics_FO0227601.000Bmielke-geometrodynamics_FO0227
mielke-geometrodynamics_FO0228601.000d B \cong 0mielke-geometrodynamics_FO0228
mielke-geometrodynamics_FO0229601.000F:=d A \cong 0mielke-geometrodynamics_FO0229
mielke-geometrodynamics_FO0230601.000d Cmielke-geometrodynamics_FO0230
mielke-geometrodynamics_FO0231601.000H=d Bmielke-geometrodynamics_FO0231
mielke-geometrodynamics_FO0232611.000\delta d C / \delta A=d F \equiv 0mielke-geometrodynamics_FO0232
mielke-geometrodynamics_FO0233610.998\psi=\psi_{i} d x^{i}mielke-geometrodynamics_FO0233
mielke-geometrodynamics_FO0234611.000s \psi=D \phimielke-geometrodynamics_FO0234
mielke-geometrodynamics_FO0235611.000s \phi=0mielke-geometrodynamics_FO0235
mielke-geometrodynamics_FO0236611.000B Fmielke-geometrodynamics_FO0236
mielke-geometrodynamics_FO0237611.000F={ }^{*} Bmielke-geometrodynamics_FO0237
mielke-geometrodynamics_FO0238610.998j:=\delta L_{\text {matter }} / \delta Amielke-geometrodynamics_FO0238
mielke-geometrodynamics_FO0239611.000d j \cong 0mielke-geometrodynamics_FO0239
mielke-geometrodynamics_FO0240610.999d Amielke-geometrodynamics_FO0240
mielke-geometrodynamics_FO0241621.000V(B)mielke-geometrodynamics_FO0241
mielke-geometrodynamics_FO0242621.000d B+j \cong 0mielke-geometrodynamics_FO0242
mielke-geometrodynamics_FO0243621.000F \cong \partial V / \partial Bmielke-geometrodynamics_FO0243
mielke-geometrodynamics_FO0244621.000-B \wedge F+B \wedge B \wedge B / 3mielke-geometrodynamics_FO0244
mielke-geometrodynamics_FO0245620.999C:=A \wedge F-A \wedge A \wedge A / 3mielke-geometrodynamics_FO0245
mielke-geometrodynamics_FO0246621.000F=-B \wedge Bmielke-geometrodynamics_FO0246
mielke-geometrodynamics_FO0247621.000D B=D F \equiv 0mielke-geometrodynamics_FO0247
mielke-geometrodynamics_FO0248620.999\Gamma_{\alpha}{ }^{\mathrm{j}}(\mathrm{m})mielke-geometrodynamics_FO0248
mielke-geometrodynamics_FO0249621.000d \omegamielke-geometrodynamics_FO0249
mielke-geometrodynamics_FO0250620.668\mathscr{F}mielke-geometrodynamics_FO0250
mielke-geometrodynamics_FO0251620.668{ }^{*} \mathscr{F}mielke-geometrodynamics_FO0251
mielke-geometrodynamics_FO0252630.731\Pi^{\Omega}mielke-geometrodynamics_FO0252
mielke-geometrodynamics_FO0253630.894n-1mielke-geometrodynamics_FO0253
mielke-geometrodynamics_FO0254630.894\taumielke-geometrodynamics_FO0254
mielke-geometrodynamics_FO0255641.000\delta L / \delta \omegamielke-geometrodynamics_FO0255
mielke-geometrodynamics_FO0256641.000(1978,1980)mielke-geometrodynamics_FO0256
mielke-geometrodynamics_FO0257651.000\mathrm{H}^{3}mielke-geometrodynamics_FO0257
mielke-geometrodynamics_FO0258651.000\partial \mathrm{H}^{3}mielke-geometrodynamics_FO0258
mielke-geometrodynamics_FO0259651.000\iotamielke-geometrodynamics_FO0259
mielke-geometrodynamics_FO0260650.879\mathrm{SU}(\mathrm{N})mielke-geometrodynamics_FO0260
mielke-geometrodynamics_FO0261660.971L\left(\mathscr{F},{ }^{*} \mathscr{F}\right)mielke-geometrodynamics_FO0261
mielke-geometrodynamics_FO0262660.435\mathrm{I}^{\mathrm{j}}=\mathrm{i} \sigma^{\mathrm{j}}mielke-geometrodynamics_FO0262
mielke-geometrodynamics_FO0263660.435\mathrm{SU}(2) \times \mathrm{SU}(2) \approxmielke-geometrodynamics_FO0263
mielke-geometrodynamics_FO0264660.765\mathrm{SO}(4)mielke-geometrodynamics_FO0264
mielke-geometrodynamics_FO0265670.998\mathrm{h}=\mathrm{h}(|\mathrm{x}|)mielke-geometrodynamics_FO0265
mielke-geometrodynamics_FO0266670.499\mathrm{M}^{4}mielke-geometrodynamics_FO0266
mielke-geometrodynamics_FO0267670.999\mathrm{k}=1mielke-geometrodynamics_FO0267
mielke-geometrodynamics_FO0268670.5125 \mathrm{k}+4mielke-geometrodynamics_FO0268
mielke-geometrodynamics_FO0269671.000\mathbb{R}^{4} \cup\{\infty\} \approx \mathrm{S}^{4}mielke-geometrodynamics_FO0269
mielke-geometrodynamics_FO0270681.000|-\infty\ranglemielke-geometrodynamics_FO0270
mielke-geometrodynamics_FO0271681.000\langle\infty|mielke-geometrodynamics_FO0271
mielke-geometrodynamics_FO0272681.000\mathscr{M}_{\omega}mielke-geometrodynamics_FO0272
mielke-geometrodynamics_FO0273680.991\mathscr{M}_{\omega}=\mathscr{C} / \mathscr{G}_{p}mielke-geometrodynamics_FO0273
mielke-geometrodynamics_FO0274680.999\mu[\omega]mielke-geometrodynamics_FO0274
mielke-geometrodynamics_FO0275690.976Smielke-geometrodynamics_FO0275
mielke-geometrodynamics_FO0276691.000\operatorname{Spin}^{c}(4)mielke-geometrodynamics_FO0276
mielke-geometrodynamics_FO0277690.988\psi=\psi_{L}+\psi_{R}=P_{-} \psi+P_{+} \psimielke-geometrodynamics_FO0277
mielke-geometrodynamics_FO0278701.000\bar{\psi}mielke-geometrodynamics_FO0278
mielke-geometrodynamics_FO0279701.000Rmielke-geometrodynamics_FO0279
mielke-geometrodynamics_FO0280701.000\psi=0mielke-geometrodynamics_FO0280
mielke-geometrodynamics_FO0281700.996F^{ \pm}mielke-geometrodynamics_FO0281
mielke-geometrodynamics_FO0282711.000\mathrm{A}_{\alpha}{ }^{\mathrm{j}}mielke-geometrodynamics_FO0282
mielke-geometrodynamics_FO0283711.000\varphi^{j}mielke-geometrodynamics_FO0283
mielke-geometrodynamics_FO0284711.000\Theta^{(1) j}mielke-geometrodynamics_FO0284
mielke-geometrodynamics_FO0285710.902\phi^{(0)}mielke-geometrodynamics_FO0285
mielke-geometrodynamics_FO0286710.902\Theta^{(1)}mielke-geometrodynamics_FO0286
mielke-geometrodynamics_FO0287711.000\mathrm{A}_{\alpha}{ }^{\mathrm{j}}(\mathrm{m})mielke-geometrodynamics_FO0287
mielke-geometrodynamics_FO0288711.000\delta L_{\mathrm{H}} / \delta \bar{\phi}^{(0)}mielke-geometrodynamics_FO0288
mielke-geometrodynamics_FO0289711.000\delta L_{\mathrm{H}} / \delta \bar{\Theta}^{(1)}mielke-geometrodynamics_FO0289
mielke-geometrodynamics_FO0290721.000\mumielke-geometrodynamics_FO0290
mielke-geometrodynamics_FO0291721.000\varphi=0mielke-geometrodynamics_FO0291
mielke-geometrodynamics_FO0292721.000|\varphi|mielke-geometrodynamics_FO0292
mielke-geometrodynamics_FO0293721.000{ }^{\lambda} \varphimielke-geometrodynamics_FO0293
mielke-geometrodynamics_FO0294721.000\varphi_{\mathrm{H}}:=\varphi-\mu / \sqrt{\lambda}mielke-geometrodynamics_FO0294
mielke-geometrodynamics_FO0295721.000\mathrm{m}_{\mathrm{H}}=\sqrt{2} \mumielke-geometrodynamics_FO0295
mielke-geometrodynamics_FO0296720.882\mathrm{G} / \mathrm{H}mielke-geometrodynamics_FO0296
mielke-geometrodynamics_FO0297721.000\mathrm{v}_{0} \in V^{\rho}mielke-geometrodynamics_FO0297
mielke-geometrodynamics_FO0298721.000\stackrel{\circ}{\varphi}_{\text {min }}:=\sigma\left(\mathrm{v}_{0}\right) \in \mathrm{C}^{\infty}\left(\mathrm{V}^{\rho}\right)mielke-geometrodynamics_FO0298
mielke-geometrodynamics_FO0299720.683\mathrm{a} \mathrm{g} \in \mathrm{G}mielke-geometrodynamics_FO0299
mielke-geometrodynamics_FO0300720.683\mathrm{v}_{0}mielke-geometrodynamics_FO0300
mielke-geometrodynamics_FO0301721.000\mathrm{v}=\rho(\mathrm{g}) \cdot \mathrm{v}_{0}mielke-geometrodynamics_FO0301
mielke-geometrodynamics_FO0302730.996\stackrel{\circ}{\varphi}_{\text {min }}=\sigma\left(\mathrm{v}_{0}\right)mielke-geometrodynamics_FO0302
mielke-geometrodynamics_FO0303731.000\mathrm{P}(\mathrm{G}, \mathrm{M}, \pi, \delta)mielke-geometrodynamics_FO0303
mielke-geometrodynamics_FO0304730.702\mathfrak{h}mielke-geometrodynamics_FO0304
mielke-geometrodynamics_FO0305730.702\omega_{\mathrm{H}}mielke-geometrodynamics_FO0305
mielke-geometrodynamics_FO0306730.702Qmielke-geometrodynamics_FO0306
mielke-geometrodynamics_FO0307731.000\omega_{0}mielke-geometrodynamics_FO0307
mielke-geometrodynamics_FO0308741.000\phimielke-geometrodynamics_FO0308
mielke-geometrodynamics_FO0309741.000\lambda \rightarrow 0mielke-geometrodynamics_FO0309
mielke-geometrodynamics_FO0310741.000\stackrel{*}{\sigma} \vec{\omega}mielke-geometrodynamics_FO0310
mielke-geometrodynamics_FO0311740.503(1981,1983)mielke-geometrodynamics_FO0311
mielke-geometrodynamics_FO0312751.000\sigmamielke-geometrodynamics_FO0312
mielke-geometrodynamics_FO0313751.000\mathbb{R}^{2} \times \mathrm{S}^{2}mielke-geometrodynamics_FO0313
mielke-geometrodynamics_FO0314750.657\mathrm{S}^{4}mielke-geometrodynamics_FO0314
mielke-geometrodynamics_FO0315781.000\mathrm{N}=2mielke-geometrodynamics_FO0315
mielke-geometrodynamics_FO0316791.000\ell^{*}mielke-geometrodynamics_FO0316
mielke-geometrodynamics_FO0317800.998(1980,1981)mielke-geometrodynamics_FO0317
mielke-geometrodynamics_FO0318810.951\mathrm{A}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0318
mielke-geometrodynamics_FO0319811.000\mathrm{A}^{\mathrm{n}}mielke-geometrodynamics_FO0319
mielke-geometrodynamics_FO0320810.999\mathrm{a}=\left(\mathrm{a}^{\alpha}\right) \in \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0320
mielke-geometrodynamics_FO0321810.992\mathrm{x} \in \mathrm{A}^{\mathrm{n}}mielke-geometrodynamics_FO0321
mielke-geometrodynamics_FO0322811.000\tilde{x}:=\binom{x}{1} \in \mathbb{R}^{\mathrm{n}+1}mielke-geometrodynamics_FO0322
mielke-geometrodynamics_FO0323811.000\mathrm{n}+1mielke-geometrodynamics_FO0323
mielke-geometrodynamics_FO0324810.998\tilde{\mathrm{x}}mielke-geometrodynamics_FO0324
mielke-geometrodynamics_FO0325810.890\mathrm{GL}(\mathrm{n}+1, \mathbb{R})mielke-geometrodynamics_FO0325
mielke-geometrodynamics_FO0326810.623\mathrm{a} \in \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0326
mielke-geometrodynamics_FO0327810.623\mathrm{g} \in \mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0327
mielke-geometrodynamics_FO0328811.0000(1, \mathrm{n}-1) \subset \mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0328
mielke-geometrodynamics_FO0329811.000\mathfrak{a}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0329
mielke-geometrodynamics_FO0330820.999L_{\alpha \beta} \in \mathfrak{g l}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0330
mielke-geometrodynamics_FO0331820.999\mathrm{P}_{\alpha} \in \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0331
mielke-geometrodynamics_FO0332821.000\mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0332
mielke-geometrodynamics_FO0333820.833\mathrm{L}_{\mathrm{m}}(\mathrm{M})mielke-geometrodynamics_FO0333
mielke-geometrodynamics_FO0334820.993\mathrm{U} \subset \mathrm{M}mielke-geometrodynamics_FO0334
mielke-geometrodynamics_FO0335820.994\mathrm{e}_{\mathrm{a}}(\mathrm{m})mielke-geometrodynamics_FO0335
mielke-geometrodynamics_FO0336820.852\mathbb{R}^{\mathrm{n}^{2}}mielke-geometrodynamics_FO0336
mielke-geometrodynamics_FO0337820.852\mathrm{e}_{\alpha}^{j}(\mathrm{~m})mielke-geometrodynamics_FO0337
mielke-geometrodynamics_FO0338820.852n \times nmielke-geometrodynamics_FO0338
mielke-geometrodynamics_FO0339820.987\left(\mathrm{x}^{i}, \mathrm{e}_{\alpha}^{-j}\right)mielke-geometrodynamics_FO0339
mielke-geometrodynamics_FO0340820.840\mathrm{U} \times \mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0340
mielke-geometrodynamics_FO0341820.840\pi^{-1}(\mathrm{U})mielke-geometrodynamics_FO0341
mielke-geometrodynamics_FO0342830.858\operatorname{GL}(\mathrm{n}mielke-geometrodynamics_FO0342
mielke-geometrodynamics_FO0343830.899\varthetamielke-geometrodynamics_FO0343
mielke-geometrodynamics_FO0344830.825\mathrm{n}=\operatorname{dim} \mathrm{M}mielke-geometrodynamics_FO0344
mielke-geometrodynamics_FO0345830.394\mathbb{R}^{n}mielke-geometrodynamics_FO0345
mielke-geometrodynamics_FO0346830.569\mathrm{A}(\mathrm{M}) / \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0346
mielke-geometrodynamics_FO0347840.999\mathrm{e}_{\alpha}(\mathrm{m})mielke-geometrodynamics_FO0347
mielke-geometrodynamics_FO0348840.593\mathrm{T}=\mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO0348
mielke-geometrodynamics_FO0349840.593\mathrm{A}(\mathrm{n}, \mathbb{R}) / \mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0349
mielke-geometrodynamics_FO0350841.000\mathrm{T}=\mathrm{P} / \mathrm{L}mielke-geometrodynamics_FO0350
mielke-geometrodynamics_FO0351840.550\widetilde{\widetilde{\omega}}mielke-geometrodynamics_FO0351
mielke-geometrodynamics_FO0352840.999\chi: \mathrm{L}(\mathrm{M}) \rightarrow 0_{\mathrm{m}} \times \mathrm{L}(\mathrm{M}) \subset \mathrm{A}(\mathrm{M})mielke-geometrodynamics_FO0352
mielke-geometrodynamics_FO0353850.448\stackrel{*}{\chi} \widetilde{\omega}mielke-geometrodynamics_FO0353
mielke-geometrodynamics_FO0354850.507\omega^{\mathrm{L}}mielke-geometrodynamics_FO0354
mielke-geometrodynamics_FO0355850.507\mathfrak{g l}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0355
mielke-geometrodynamics_FO0356850.912\omega^{\mathrm{T}}mielke-geometrodynamics_FO0356
mielke-geometrodynamics_FO0357850.990\mathrm{H} \subset \mathrm{G}mielke-geometrodynamics_FO0357
mielke-geometrodynamics_FO0358850.944\widetilde{\widetilde{\Omega}}mielke-geometrodynamics_FO0358
mielke-geometrodynamics_FO0359851.000\left[\omega^{\mathrm{T}}, \omega^{\mathrm{T}}\right]mielke-geometrodynamics_FO0359
mielke-geometrodynamics_FO0360850.989\omega^{\mathrm{T}}, \omega^{\mathrm{L}}mielke-geometrodynamics_FO0360
mielke-geometrodynamics_FO0361861.000\mathscr{A}(n, \mathbb{R})mielke-geometrodynamics_FO0361
mielke-geometrodynamics_FO0362860.996C^{\infty}mielke-geometrodynamics_FO0362
mielke-geometrodynamics_FO0363860.998G L(n, \mathbb{R})mielke-geometrodynamics_FO0363
mielke-geometrodynamics_FO0364860.998\mathscr{T}(n, \mathbb{R})mielke-geometrodynamics_FO0364
mielke-geometrodynamics_FO0365861.000\operatorname{Diff}(n, \mathbb{R})mielke-geometrodynamics_FO0365
mielke-geometrodynamics_FO0366860.905(n, \mathbb{R})mielke-geometrodynamics_FO0366
mielke-geometrodynamics_FO0367860.905\left(n+n^{2}\right)mielke-geometrodynamics_FO0367
mielke-geometrodynamics_FO0368860.905A(n, \mathbb{R})_{\mathrm{H}}mielke-geometrodynamics_FO0368
mielke-geometrodynamics_FO0369860.999P_{i}=\partial_{i}:=\partial / \partial x^{i}mielke-geometrodynamics_FO0369
mielke-geometrodynamics_FO0370861.000L^{i}{ }_{j}=x^{i} \partial_{j}mielke-geometrodynamics_FO0370
mielke-geometrodynamics_FO0371861.000\chimielke-geometrodynamics_FO0371
mielke-geometrodynamics_FO0372871.000\mathrm{V}^{\text {id }}mielke-geometrodynamics_FO0372
mielke-geometrodynamics_FO0373870.928\stackrel{\circ}{\tilde{\varphi}}=\sigma\left(0_{\mathrm{m}}\right)mielke-geometrodynamics_FO0373
mielke-geometrodynamics_FO0374870.928\mathrm{H}=\mathrm{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0374
mielke-geometrodynamics_FO0375870.863\widetilde{\vartheta}mielke-geometrodynamics_FO0375
mielke-geometrodynamics_FO0376870.863\mathscr{A}_{\mathrm{p}}mielke-geometrodynamics_FO0376
mielke-geometrodynamics_FO0377880.968\mathrm{D}=(\stackrel{*}{\chi} \widetilde{\mathrm{D}})mielke-geometrodynamics_FO0377
mielke-geometrodynamics_FO0378880.999\mathscr{G}_{\mathrm{p}}mielke-geometrodynamics_FO0378
mielke-geometrodynamics_FO0379890.993\widetilde{\widetilde{\mathrm{D}}}=\mathrm{D}mielke-geometrodynamics_FO0379
mielke-geometrodynamics_FO0380901.000\mathscr{C} \subset \mathrm{M}mielke-geometrodynamics_FO0380
mielke-geometrodynamics_FO0381901.000\mathrm{F}(\mathrm{m}, \vartheta): \mathrm{M} \times \mathrm{T}^{*}(\mathrm{M}) \rightarrow \mathbb{R}^{+}mielke-geometrodynamics_FO0381
mielke-geometrodynamics_FO0382911.000\mathscr{C}mielke-geometrodynamics_FO0382
mielke-geometrodynamics_FO0383911.000(2,0)mielke-geometrodynamics_FO0383
mielke-geometrodynamics_FO0384911.000\mathrm{g}_{i j} \in \mathrm{C}^{\infty}(\mathrm{M})mielke-geometrodynamics_FO0384
mielke-geometrodynamics_FO0385920.689\mathrm{e}_{\alpha}^{\cdot i}mielke-geometrodynamics_FO0385
mielke-geometrodynamics_FO0386921.000\mathfrak{O}(\mathrm{s}, \mathrm{n}-\mathrm{s})mielke-geometrodynamics_FO0386
mielke-geometrodynamics_FO0387921.000\omega^{\mathrm{g}}mielke-geometrodynamics_FO0387
mielke-geometrodynamics_FO0388920.532\phi^{(\circ)}mielke-geometrodynamics_FO0388
mielke-geometrodynamics_FO0389920.651\Gamma_{\mathrm{i}}{ }^{\alpha \beta}mielke-geometrodynamics_FO0389
mielke-geometrodynamics_FO0390921.000L_{\alpha \beta}mielke-geometrodynamics_FO0390
mielke-geometrodynamics_FO0391921.000\omega^{\alpha \beta}=-\omega^{\beta \alpha}mielke-geometrodynamics_FO0391
mielke-geometrodynamics_FO0392920.988\mathrm{m}_{\mathrm{o}} \in \mathrm{M}mielke-geometrodynamics_FO0392
mielke-geometrodynamics_FO0393920.988o_{i j}mielke-geometrodynamics_FO0393
mielke-geometrodynamics_FO0394931.000\mathrm{H}=\mathrm{O}(\mathrm{s}, \mathrm{n}-\mathrm{s})mielke-geometrodynamics_FO0394
mielke-geometrodynamics_FO0395931.000\mathfrak{o}(\mathrm{s}, \mathrm{n}-\mathrm{s})mielke-geometrodynamics_FO0395
mielke-geometrodynamics_FO0396930.999\mathrm{L}^{\mathrm{g}}(\mathrm{M})mielke-geometrodynamics_FO0396
mielke-geometrodynamics_FO0397931.000\mathrm{D} \vartheta=0mielke-geometrodynamics_FO0397
mielke-geometrodynamics_FO0398930.995\Thetamielke-geometrodynamics_FO0398
mielke-geometrodynamics_FO0399930.913\vartheta^{\mathrm{g}}mielke-geometrodynamics_FO0399
mielke-geometrodynamics_FO0400931.000\Omega^{\mathrm{g}}mielke-geometrodynamics_FO0400
mielke-geometrodynamics_FO0401940.997\omega^{\{ \}}mielke-geometrodynamics_FO0401
mielke-geometrodynamics_FO0402940.890Kmielke-geometrodynamics_FO0402
mielke-geometrodynamics_FO0403941.000\mathrm{U}_{\mathrm{n}}mielke-geometrodynamics_FO0403
mielke-geometrodynamics_FO0404941.000\mathrm{V}_{\mathrm{n}}mielke-geometrodynamics_FO0404
mielke-geometrodynamics_FO0405950.456R_{i j c}^{\{. \ldots d}mielke-geometrodynamics_FO0405
mielke-geometrodynamics_FO0406950.999R_{i j k l}^{\{ \}}mielke-geometrodynamics_FO0406
mielke-geometrodynamics_FO0407950.666S S Bmielke-geometrodynamics_FO0407
mielke-geometrodynamics_FO0408951.000\mathrm{O}(1, \mathrm{n}-1)mielke-geometrodynamics_FO0408
mielke-geometrodynamics_FO0409950.778\operatorname{GL}(\mathrm{n}, \mathbb{R})mielke-geometrodynamics_FO0409
mielke-geometrodynamics_FO0410961.000\mathrm{R}_{\alpha \beta}^{. . \mathrm{cd}}(\mathrm{m})mielke-geometrodynamics_FO0410
mielke-geometrodynamics_FO0411961.000\vartheta, \Theta, \Omega^{\mathrm{g}}mielke-geometrodynamics_FO0411
mielke-geometrodynamics_FO0412971.000L_{\mathrm{g}}mielke-geometrodynamics_FO0412
mielke-geometrodynamics_FO0413971.000tmielke-geometrodynamics_FO0413
mielke-geometrodynamics_FO0414971.000\Pi^{\mathrm{T}}mielke-geometrodynamics_FO0414
mielke-geometrodynamics_FO0415970.999\Pi^{\mathrm{L}}mielke-geometrodynamics_FO0415
mielke-geometrodynamics_FO0416970.999Emielke-geometrodynamics_FO0416
mielke-geometrodynamics_FO0417970.998\Pi_{[]}^{\mathrm{T}}mielke-geometrodynamics_FO0417
mielke-geometrodynamics_FO0418970.931\Pi^{\mathrm{T}}:=\left[\Pi_{[ }^{\mathrm{T}}, \vartheta\right]mielke-geometrodynamics_FO0418
mielke-geometrodynamics_FO0419971.000\delta \varthetamielke-geometrodynamics_FO0419
mielke-geometrodynamics_FO0420971.000\delta \omega^{\mathrm{g}}mielke-geometrodynamics_FO0420
mielke-geometrodynamics_FO0421980.844\Sigmamielke-geometrodynamics_FO0421
mielke-geometrodynamics_FO0422980.999\lambda^{\varphi}=\mathrm{o}mielke-geometrodynamics_FO0422
mielke-geometrodynamics_FO0423981.000\tau_{\mathrm{s}}mielke-geometrodynamics_FO0423
mielke-geometrodynamics_FO0424981.000\Upsilonmielke-geometrodynamics_FO0424
mielke-geometrodynamics_FO04251001.000\Gamma^{\alpha \beta}=-\Gamma^{\beta \alpha}mielke-geometrodynamics_FO0425
mielke-geometrodynamics_FO04261001.000\delta L=\delta \Gamma^{\alpha \beta} \wedge\left(\partial L / \partial \Gamma^{\alpha \beta}\right)mielke-geometrodynamics_FO0426
mielke-geometrodynamics_FO04271000.629S=\int_{M} L_{\text {mat }}mielke-geometrodynamics_FO0427
mielke-geometrodynamics_FO04281001.000\operatorname{Diff}(M)mielke-geometrodynamics_FO0428
mielke-geometrodynamics_FO04291000.924\mathscr{T} \subset \operatorname{Diff}(M)mielke-geometrodynamics_FO0429
mielke-geometrodynamics_FO04301000.924S O(1,3)mielke-geometrodynamics_FO0430
mielke-geometrodynamics_FO0431 [refined: census]1000.590\mathrm{Ł}_{\xi}:=\xi \rfloor D+D \xi \rfloormielke-geometrodynamics_FO0431
mielke-geometrodynamics_FO04321000.590Mmielke-geometrodynamics_FO0432
mielke-geometrodynamics_FO04331001.000\ximielke-geometrodynamics_FO0433
mielke-geometrodynamics_FO04341001.000D g_{\alpha \beta}=0mielke-geometrodynamics_FO0434
mielke-geometrodynamics_FO04351010.779\mathrm{L}_{\xi} L=D \xi \jmath Lmielke-geometrodynamics_FO0435
mielke-geometrodynamics_FO04361011.000\xi \rightarrow e_{\alpha}mielke-geometrodynamics_FO0436
mielke-geometrodynamics_FO0437 [refined: census]1010.995F_{\alpha}^{\text {Max }}=\left(e_{\alpha}\rfloor F\right) \wedge jmielke-geometrodynamics_FO0437
mielke-geometrodynamics_FO04381011.000\simeqmielke-geometrodynamics_FO0438
mielke-geometrodynamics_FO04391010.999\delta L / \delta \Psi=0mielke-geometrodynamics_FO0439
mielke-geometrodynamics_FO04401010.972\delta D \Psi=D \delta \Psi+\delta \Gamma_{\alpha}{ }^{\beta} \wedge I^{\alpha}{ }_{\beta} \Psimielke-geometrodynamics_FO0440
mielke-geometrodynamics_FO04411021.000\varepsilon_{\alpha}{ }^{\beta}(x):=\Lambda_{\alpha}{ }^{\beta}(x)-\delta_{\alpha}^{\beta}mielke-geometrodynamics_FO0441
mielke-geometrodynamics_FO04451291.000\Gamma_{\alpha}{ }^{\beta}mielke-geometrodynamics_FO0445
mielke-geometrodynamics_FO04491020.986\overparen{D}mielke-geometrodynamics_FO0449
mielke-geometrodynamics_FO0450 [refined: census]1020.986\overparen{\Gamma}{ }_{\alpha}{ }^{\beta}:=\Gamma_{\alpha}{ }^{\beta}+e_{\alpha}\rfloor T^{\beta}mielke-geometrodynamics_FO0450
mielke-geometrodynamics_FO04511020.999\tau_{\alpha \beta}=-\tau_{\beta \alpha}mielke-geometrodynamics_FO0451
mielke-geometrodynamics_FO04521020.999x_{[\alpha} \wedge \Sigma_{\beta]}mielke-geometrodynamics_FO0452
mielke-geometrodynamics_FO04531021.000x^{i}mielke-geometrodynamics_FO0453
mielke-geometrodynamics_FO04541021.000x^{\alpha}=\delta_{i}^{\alpha} x^{i}mielke-geometrodynamics_FO0454
mielke-geometrodynamics_FO04551031.000\xi=\partial / \partial tmielke-geometrodynamics_FO0455
mielke-geometrodynamics_FO04561031.000\xi=\partial / \partial \varphimielke-geometrodynamics_FO0456
mielke-geometrodynamics_FO04571041.000\pm(\Lambda / 3) r^{3}mielke-geometrodynamics_FO0457
mielke-geometrodynamics_FO04581041.000\Lambdamielke-geometrodynamics_FO0458
mielke-geometrodynamics_FO04591040.539\Gamma^{(T) \alpha}mielke-geometrodynamics_FO0459
mielke-geometrodynamics_FO04601041.000\Gamma_{\alpha}^{(L) \beta}mielke-geometrodynamics_FO0460
mielke-geometrodynamics_FO04611041.000A(n, \mathbb{R}):=\mathbb{R}^{n} \otimes G L(n, \mathbb{R})mielke-geometrodynamics_FO0461
mielke-geometrodynamics_FO04621040.559\widetilde{\widetilde{\xi}}mielke-geometrodynamics_FO0462
mielke-geometrodynamics_FO04631040.993\widetilde{\widetilde{\Gamma}}mielke-geometrodynamics_FO0463
mielke-geometrodynamics_FO0464 [refined: census]1040.272Ł_{y}:=y\rfloor D+D ymielke-geometrodynamics_FO0464
mielke-geometrodynamics_FO04651040.272R^{(T) \alpha}mielke-geometrodynamics_FO0465
mielke-geometrodynamics_FO04661041.000ymielke-geometrodynamics_FO0466
mielke-geometrodynamics_FO04671051.000A=A_{i}^{J} \lambda_{J} d x^{i}mielke-geometrodynamics_FO0467
mielke-geometrodynamics_FO04681050.996\gammamielke-geometrodynamics_FO0468
mielke-geometrodynamics_FO04691051.000F:=d A=0mielke-geometrodynamics_FO0469
mielke-geometrodynamics_FO04701051.000F=d A+A \wedge A=0mielke-geometrodynamics_FO0470
mielke-geometrodynamics_FO04711051.000F \neq 0mielke-geometrodynamics_FO0471
mielke-geometrodynamics_FO04721051.000A(4, \mathbb{R})mielke-geometrodynamics_FO0472
mielke-geometrodynamics_FO04731050.924G L(4, \mathbb{R})mielke-geometrodynamics_FO0473
mielke-geometrodynamics_FO04741051.000\Gamma^{(T) \alpha} \stackrel{*}{=} 0mielke-geometrodynamics_FO0474
mielke-geometrodynamics_FO04751050.651(1993,1994)mielke-geometrodynamics_FO0475
mielke-geometrodynamics_FO04761051.000P_{\alpha}mielke-geometrodynamics_FO0476
mielke-geometrodynamics_FO04771051.0002 \pi \hbar / \ellmielke-geometrodynamics_FO0477
mielke-geometrodynamics_FO04781051.000\mathscr{M}_{n}=n M_{\text {Planck }}mielke-geometrodynamics_FO0478
mielke-geometrodynamics_FO04791090.485\Gamma^{\alpha \beta}=\Gamma^{\{j \alpha \beta}-K^{\alpha \beta}mielke-geometrodynamics_FO0479
mielke-geometrodynamics_FO04801090.469\Gamma^{\{\alpha \beta\}}mielke-geometrodynamics_FO0480
mielke-geometrodynamics_FO04811091.000K_{\alpha \beta}=-K_{\beta \alpha}mielke-geometrodynamics_FO0481
mielke-geometrodynamics_FO04821091.000K=i K^{\alpha \beta} \sigma_{\alpha \beta} / 4mielke-geometrodynamics_FO0482
mielke-geometrodynamics_FO04831091.000T^{\alpha}=K^{\alpha}{ }_{\beta} \wedge \vartheta^{\beta}mielke-geometrodynamics_FO0483
mielke-geometrodynamics_FO04841091.000\Gamma=\Gamma^{\{ \}}-Kmielke-geometrodynamics_FO0484
mielke-geometrodynamics_FO04851091.000\Gamma^{\{ \}}mielke-geometrodynamics_FO0485
mielke-geometrodynamics_FO04861101.000D>2mielke-geometrodynamics_FO0486
mielke-geometrodynamics_FO04871101.000j_{5}mielke-geometrodynamics_FO0487
mielke-geometrodynamics_FO04881100.972\bar{\psi}:=\psi^{\dagger} \gamma_{0}mielke-geometrodynamics_FO0488
mielke-geometrodynamics_FO04891100.972D \psi:=d \psi+\Gamma \wedge \psimielke-geometrodynamics_FO0489
mielke-geometrodynamics_FO04901101.000\gamma:=\gamma_{\alpha} \vartheta^{\alpha}mielke-geometrodynamics_FO0490
mielke-geometrodynamics_FO04911101.000D \gamma=[\gamma, K]mielke-geometrodynamics_FO0491
mielke-geometrodynamics_FO04921101.000=\gamma_{\alpha} T^{\alpha}mielke-geometrodynamics_FO0492
mielke-geometrodynamics_FO04931101.000T^{\alpha}:=D \vartheta^{\alpha}mielke-geometrodynamics_FO0493
mielke-geometrodynamics_FO04941101.000L_{\mathrm{D}}=\bar{L}_{\mathrm{D}}=L_{\mathrm{D}}^{\dagger}mielke-geometrodynamics_FO0494
mielke-geometrodynamics_FO04951111.000\tau_{\alpha \beta \gamma}=\tau_{[\alpha \beta \gamma]}mielke-geometrodynamics_FO0495
mielke-geometrodynamics_FO04961110.975\mu_{\alpha}=\vartheta_{\alpha} \wedge{ }^{*} j_{5} / 4mielke-geometrodynamics_FO0496
mielke-geometrodynamics_FO04971110.792\mathrm{GR}_{\|}mielke-geometrodynamics_FO0497
mielke-geometrodynamics_FO04981110.701C_{\mathrm{TT} *}:=\vartheta^{\alpha} \wedge{ }^{*} T_{\alpha}mielke-geometrodynamics_FO0498
mielke-geometrodynamics_FO04991111.000L_{\mathrm{D}} \rightarrow L_{\mathrm{D}}+d Umielke-geometrodynamics_FO0499
mielke-geometrodynamics_FO05001111.000U=\vartheta^{\alpha} \wedge \mu_{\alpha}mielke-geometrodynamics_FO0500
mielke-geometrodynamics_FO05011111.000\hat{\tau}_{\alpha \beta}mielke-geometrodynamics_FO0501
mielke-geometrodynamics_FO05021111.000U=\vartheta^{\alpha} \wedge \vartheta_{\alpha} \wedge{ }^{*} j_{5} / 4mielke-geometrodynamics_FO0502
mielke-geometrodynamics_FO05031111.000\kappa=8 \pi G_{\mathrm{N}}mielke-geometrodynamics_FO0503
mielke-geometrodynamics_FO05041121.000\Sigma_{\alpha}mielke-geometrodynamics_FO0504
mielke-geometrodynamics_FO05051121.000L_{\mathrm{EC}}mielke-geometrodynamics_FO0505
mielke-geometrodynamics_FO0506 [refined: census]1120.973\widehat{\Gamma}_{\alpha}{ }^{\beta}:=\Gamma_{\alpha}{ }^{\beta}+e_{\alpha}\rfloor T^{\beta}mielke-geometrodynamics_FO0506
mielke-geometrodynamics_FO05071131.000\sigma:=\frac{1}{2} \sigma_{\alpha \beta} \vartheta^{\alpha} \wedge \vartheta^{\beta}=\frac{i}{2} \gamma \wedge \gammamielke-geometrodynamics_FO0507
mielke-geometrodynamics_FO05081131.000\Theta=0mielke-geometrodynamics_FO0508
mielke-geometrodynamics_FO05091131.000\Gamma^{\alpha \beta}mielke-geometrodynamics_FO0509
mielke-geometrodynamics_FO05101130.839\tilde{\mathrm{T}}_{\mu \nu}mielke-geometrodynamics_FO0510
mielke-geometrodynamics_FO05111131.000\tau_{\mathrm{s}}=\mathrm{o}mielke-geometrodynamics_FO0511
mielke-geometrodynamics_FO05121131.000\ell^{* 4}mielke-geometrodynamics_FO0512
mielke-geometrodynamics_FO05131141.000\ell^{*}=10^{-33} \mathrm{~cm}mielke-geometrodynamics_FO0513
mielke-geometrodynamics_FO05141141.00010^{80}mielke-geometrodynamics_FO0514
mielke-geometrodynamics_FO05151140.528R^{\{\lambda \alpha \beta}mielke-geometrodynamics_FO0515
mielke-geometrodynamics_FO05161141.000{ }^{(i)} T_{\alpha}mielke-geometrodynamics_FO0516
mielke-geometrodynamics_FO05171141.000\mathscr{A}mielke-geometrodynamics_FO0517
mielke-geometrodynamics_FO05181141.000L_{\mathrm{HE}}mielke-geometrodynamics_FO0518
mielke-geometrodynamics_FO05191140.647T^{\alpha} \wedge{ }^{*}\left({ }^{(1)} T_{\alpha}-2^{(2)} T_{\alpha}-\frac{1}{2}{ }^{(3)} T_{\alpha}\right)mielke-geometrodynamics_FO0519
mielke-geometrodynamics_FO05201140.558d C_{\mathrm{TT}}{ }^{*}mielke-geometrodynamics_FO0520
mielke-geometrodynamics_FO05211151.000G_{\alpha}^{\{ \}}=G_{\alpha}{ }^{\beta} \eta_{\beta}mielke-geometrodynamics_FO0521
mielke-geometrodynamics_FO05221151.000\ell=\sqrt{\kappa}mielke-geometrodynamics_FO0522
mielke-geometrodynamics_FO05231151.000k \rightarrow \inftymielke-geometrodynamics_FO0523
mielke-geometrodynamics_FO05241151.000\Gamma_{k}mielke-geometrodynamics_FO0524
mielke-geometrodynamics_FO05251160.999k \partial_{k}mielke-geometrodynamics_FO0525
mielke-geometrodynamics_FO05261161.000kmielke-geometrodynamics_FO0526
mielke-geometrodynamics_FO05271161.000\rho_{\Lambda}mielke-geometrodynamics_FO0527
mielke-geometrodynamics_FO05281161.000d_{\mathrm{N}}mielke-geometrodynamics_FO0528
mielke-geometrodynamics_FO05291161.000g_{\mathrm{N}}mielke-geometrodynamics_FO0529
mielke-geometrodynamics_FO05301161.000g_{\mathrm{N} *}mielke-geometrodynamics_FO0530
mielke-geometrodynamics_FO05311161.000\lambda_{*}mielke-geometrodynamics_FO0531
mielke-geometrodynamics_FO05321161.000R^{n}mielke-geometrodynamics_FO0532
mielke-geometrodynamics_FO05331161.000f(R)mielke-geometrodynamics_FO0533
mielke-geometrodynamics_FO05341171.000\kappamielke-geometrodynamics_FO0534
mielke-geometrodynamics_FO05351171.0001 / k^{4}mielke-geometrodynamics_FO0535
mielke-geometrodynamics_FO05361171.000f_{*}^{2}mielke-geometrodynamics_FO0536
mielke-geometrodynamics_FO05371171.000R_{\alpha \beta} \equiv 0mielke-geometrodynamics_FO0537
mielke-geometrodynamics_FO05381171.000S L(5, \mathbb{R})mielke-geometrodynamics_FO0538
mielke-geometrodynamics_FO05391181.000\Delta c / c \simeq 10^{-17}mielke-geometrodynamics_FO0539
mielke-geometrodynamics_FO05401181.00010^{-13}mielke-geometrodynamics_FO0540
mielke-geometrodynamics_FO05411181.00010^{-8}mielke-geometrodynamics_FO0541
mielke-geometrodynamics_FO05421180.979\bar{v}_{e}mielke-geometrodynamics_FO0542
mielke-geometrodynamics_FO05431180.813v_{e}mielke-geometrodynamics_FO0543
mielke-geometrodynamics_FO05441181.00010^{-6}mielke-geometrodynamics_FO0544
mielke-geometrodynamics_FO05451180.996C P Tmielke-geometrodynamics_FO0545
mielke-geometrodynamics_FO05461181.000K^{0}mielke-geometrodynamics_FO0546
mielke-geometrodynamics_FO05471181.000\bar{K}^{0}mielke-geometrodynamics_FO0547
mielke-geometrodynamics_FO05481181.00010^{-18}mielke-geometrodynamics_FO0548
mielke-geometrodynamics_FO05491200.761(5, \mathbb{R})mielke-geometrodynamics_FO0549
mielke-geometrodynamics_FO05501221.000(1986,1991)mielke-geometrodynamics_FO0550
mielke-geometrodynamics_FO05511220.996d C_{\mathrm{TT}}mielke-geometrodynamics_FO0551
mielke-geometrodynamics_FO05521220.987\left(\mathrm{GR}_{\|}\right)mielke-geometrodynamics_FO0552
mielke-geometrodynamics_FO05531231.000\ell:=\sqrt{8 \pi \hbar G_{\mathrm{N}} / c^{3}} \simeq 10^{-33} \mathrm{~cm}mielke-geometrodynamics_FO0553
mielke-geometrodynamics_FO05541231.000qmielke-geometrodynamics_FO0554
mielke-geometrodynamics_FO05551230.994\mathscr{C}=q^{2} / 2mielke-geometrodynamics_FO0555
mielke-geometrodynamics_FO05561230.999\mathscr{S}=\exp (-\mathscr{C})=\exp \left(-q^{2} / 2\right)mielke-geometrodynamics_FO0556
mielke-geometrodynamics_FO05571230.999\Psi=N \exp \left(i \theta \int \mathscr{C}\right)mielke-geometrodynamics_FO0557
mielke-geometrodynamics_FO05581231.000P:=\mathbb{R}^{4} \otimes S O(1,3)mielke-geometrodynamics_FO0558
mielke-geometrodynamics_FO05591241.000\mathscr{A}:={ }^{*}\left(\vartheta_{\alpha} \wedge T^{\alpha}\right)=mielke-geometrodynamics_FO0559
mielke-geometrodynamics_FO05601241.000\mathscr{A}_{i} d x^{i}mielke-geometrodynamics_FO0560
mielke-geometrodynamics_FO05611241.000\ellmielke-geometrodynamics_FO0561
mielke-geometrodynamics_FO05621240.907\mathrm{SO}(1,4)mielke-geometrodynamics_FO0562
mielke-geometrodynamics_FO05631240.907\mathrm{SO}(2,3)mielke-geometrodynamics_FO0563
mielke-geometrodynamics_FO05641241.000g_{\alpha \beta}mielke-geometrodynamics_FO0564
mielke-geometrodynamics_FO05651241.000T_{\alpha}=g_{\alpha \beta} T^{\beta}mielke-geometrodynamics_FO0565
mielke-geometrodynamics_FO05661241.000\vartheta_{\alpha}mielke-geometrodynamics_FO0566
mielke-geometrodynamics_FO05671251.000R_{\alpha \beta}^{\{ \}}mielke-geometrodynamics_FO0567
mielke-geometrodynamics_FO05681251.000\Gamma_{\alpha \beta}^{\{ \}}mielke-geometrodynamics_FO0568
mielke-geometrodynamics_FO05691251.000K_{\alpha \beta}mielke-geometrodynamics_FO0569
mielke-geometrodynamics_FO05701251.000\Gamma_{\alpha \beta}=mielke-geometrodynamics_FO0570
mielke-geometrodynamics_FO0571 [refined: census]1250.985-\Gamma_{\beta \alpha}=\Gamma_{\alpha \beta}^{\{ \}}-K_{\alpha \beta}=\Gamma_{\alpha \beta}^{\{ \}}+e_{\alpha}\rfloor T_{\beta}+\left(e_{\alpha}\rfloor e_{\beta}\rfloor T_{\gamma}\right) \wedge \vartheta^{\gamma}mielke-geometrodynamics_FO0571
mielke-geometrodynamics_FO05721250.971C_{\mathrm{TT} *}:=\vartheta^{\alpha} \wedge{ }^{*} T_{\alpha} / 2 \ell^{2}mielke-geometrodynamics_FO0572
mielke-geometrodynamics_FO05731251.000R^{\alpha \beta}=0mielke-geometrodynamics_FO0573
mielke-geometrodynamics_FO05741251.000R^{\alpha \beta} \wedge \lambda_{\alpha \beta}mielke-geometrodynamics_FO0574
mielke-geometrodynamics_FO05751251.000\lambda_{\alpha \beta}=-\lambda_{\beta \alpha}mielke-geometrodynamics_FO0575
mielke-geometrodynamics_FO05761261.000\vartheta^{\alpha}, \Gamma^{\alpha \beta}mielke-geometrodynamics_FO0576
mielke-geometrodynamics_FO05771261.000\lambda_{\alpha \beta}mielke-geometrodynamics_FO0577
mielke-geometrodynamics_FO05781260.856L_{\|}mielke-geometrodynamics_FO0578
mielke-geometrodynamics_FO05791261.000\lambda_{\alpha \beta}=\left(\gamma / \ell^{2}\right) \eta_{\alpha \beta}mielke-geometrodynamics_FO0579
mielke-geometrodynamics_FO05811271.000\sigma= \pm i \gammamielke-geometrodynamics_FO0581
mielke-geometrodynamics_FO05821271.000\theta_{\mathrm{T}}= \pm imielke-geometrodynamics_FO0582
mielke-geometrodynamics_FO05831270.984\stackrel{( \pm)}{T}{ }^{\alpha}:=\frac{1}{2}\left(T^{\alpha} \pm i^{*} T^{\alpha}\right)mielke-geometrodynamics_FO0583
mielke-geometrodynamics_FO05841281.000{ }^{(\tau)} \lambda_{\alpha \beta}mielke-geometrodynamics_FO0584
mielke-geometrodynamics_FO05851281.000D^{(\tau)} \lambda_{\alpha \beta}=\tau_{\alpha \beta}mielke-geometrodynamics_FO0585
mielke-geometrodynamics_FO05861280.584\stackrel{( \pm)}{\Pi^{\alpha}}mielke-geometrodynamics_FO0586
mielke-geometrodynamics_FO05871280.731\delta \stackrel{( \pm)}{L}_{\|} / \delta \vartheta^{\alpha}mielke-geometrodynamics_FO0587
mielke-geometrodynamics_FO05881281.000R_{\alpha \beta}=0mielke-geometrodynamics_FO0588
mielke-geometrodynamics_FO05891280.999\stackrel{( \pm)}{\Pi}_{\alpha}mielke-geometrodynamics_FO0589
mielke-geometrodynamics_FO05901280.121\stackrel{( \pm)}{\Sigma}{ }_{\alpha}mielke-geometrodynamics_FO0590
mielke-geometrodynamics_FO05911280.121\stackrel{( \pm)( \pm)}{D}mielke-geometrodynamics_FO0591
mielke-geometrodynamics_FO05921290.821\stackrel{(\mp)}{A_{\alpha}}{ }^{\beta}mielke-geometrodynamics_FO0592
mielke-geometrodynamics_FO05931290.946\underline{\Gamma}_{\|}^{\alpha \beta} \rightarrow 0mielke-geometrodynamics_FO0593
mielke-geometrodynamics_FO05941291.000H_{\alpha}mielke-geometrodynamics_FO0594
mielke-geometrodynamics_FO05951290.700\overparen{D} \eta_{\alpha}:=D \eta_{\alpha}-mielke-geometrodynamics_FO0595
mielke-geometrodynamics_FO05961290.521\left(e_{\alpha} \downharpoonleft T^{\beta}\right) \wedge \eta_{\beta} \equiv 0mielke-geometrodynamics_FO0596
mielke-geometrodynamics_FO05971290.593\stackrel{( \pm)}{D} \eta_{\alpha}= \pm(i / 2) \ell^{2} \eta_{\alpha \beta} \wedge \stackrel{( \pm)}{\Pi}^{\beta}mielke-geometrodynamics_FO0597
mielke-geometrodynamics_FO05981301.000E_{\alpha}mielke-geometrodynamics_FO0598
mielke-geometrodynamics_FO05991301.000D E_{\alpha}=mielke-geometrodynamics_FO0599
mielke-geometrodynamics_FO06001301.000D D H_{\alpha} \equiv-R_{\alpha}{ }^{\beta} \wedge H_{\beta}=0mielke-geometrodynamics_FO0600
mielke-geometrodynamics_FO06021301.000\Sigma_{t}mielke-geometrodynamics_FO0602
mielke-geometrodynamics_FO06031301.000x^{0}=tmielke-geometrodynamics_FO0603
mielke-geometrodynamics_FO06041300.496u:=-N^{2} d t, \Longleftrightarrowmielke-geometrodynamics_FO0604
mielke-geometrodynamics_FO06051300.963d u \wedge u=0mielke-geometrodynamics_FO0605
mielke-geometrodynamics_FO06061300.963u=g(n,mielke-geometrodynamics_FO0606
mielke-geometrodynamics_FO06071300.963) . The lapse function Nmielke-geometrodynamics_FO0607
mielke-geometrodynamics_FO06081300.963N^{A}mielke-geometrodynamics_FO0608
mielke-geometrodynamics_FO06091300.974pmielke-geometrodynamics_FO0609
mielke-geometrodynamics_FO06101300.997(3+1)mielke-geometrodynamics_FO0610
mielke-geometrodynamics_FO06111311.000L=L\left(\vartheta^{\alpha}, \Psi, D \Psi\right)mielke-geometrodynamics_FO0611
mielke-geometrodynamics_FO0612 [refined: census]1310.973\mathscr{K}=L_{\perp}:=n\rfloor Lmielke-geometrodynamics_FO0612
mielke-geometrodynamics_FO06131310.677{ }^{\bullet}mielke-geometrodynamics_FO0613
mielke-geometrodynamics_FO0614 [refined: census]1310.677\ell_{n}:=d n\rfloor+n \downarrow dmielke-geometrodynamics_FO0614
mielke-geometrodynamics_FO06151311.000nmielke-geometrodynamics_FO0615
mielke-geometrodynamics_FO0616 [refined: census]1310.965n^{\alpha}:=n\rfloor \vartheta^{\alpha}mielke-geometrodynamics_FO0616
mielke-geometrodynamics_FO0617 [refined: census]1310.605n^{\alpha} e_{\alpha}\rfloor \Psi=n \downarrow \Psimielke-geometrodynamics_FO0617
mielke-geometrodynamics_FO06181320.919\mathrm{L}_{n}=D n \downarrow+n \downarrow Dmielke-geometrodynamics_FO0618
mielke-geometrodynamics_FO06191320.651n\rfloor \Psi=n \downharpoonleft(d t \wedge n\rfloor \Psi)=n\rfloor \Psimielke-geometrodynamics_FO0619
mielke-geometrodynamics_FO0620 [refined: census]1320.479\Gamma_{\perp}{ }^{\alpha \beta}:=n\rfloor \Gamma^{\alpha \beta}mielke-geometrodynamics_FO0620
mielke-geometrodynamics_FO06211321.000\mathscr{G}_{\alpha}mielke-geometrodynamics_FO0621
mielke-geometrodynamics_FO06221321.000\mathscr{G}_{\alpha \beta}mielke-geometrodynamics_FO0622
mielke-geometrodynamics_FO0623 [refined: census]1330.709D_{\alpha}:=e_{\alpha}\rfloor Dmielke-geometrodynamics_FO0623
mielke-geometrodynamics_FO06241330.927D \lambda_{\alpha \beta}mielke-geometrodynamics_FO0624
mielke-geometrodynamics_FO06251331.000\underline{\Psi}:=\Psi-d t \wedge n\rfloor \Psimielke-geometrodynamics_FO0625
mielke-geometrodynamics_FO06261330.893\underline{\lambda}_{\alpha \beta}=\left(1 / 2 \ell^{2}\right) *\left(\vartheta_{\alpha} \wedge \vartheta_{\beta}\right)=-\left(1 / N \ell^{2}\right) n_{[\alpha}{ }^{*} \underline{\vartheta}_{\beta]}mielke-geometrodynamics_FO0626
mielke-geometrodynamics_FO06271330.925d \stackrel{(\mp)}{C}_{\text {TT }}mielke-geometrodynamics_FO0627
mielke-geometrodynamics_FO06281330.989(\alpha=\hat{0})mielke-geometrodynamics_FO0628
mielke-geometrodynamics_FO06291331.000(\alpha=B)mielke-geometrodynamics_FO0629
mielke-geometrodynamics_FO06301330.464\stackrel{( \pm)}{\underline{\mathscr{A}}_{\alpha}}:=\stackrel{*}{\underline{\Pi}}_{\alpha}mielke-geometrodynamics_FO0630
mielke-geometrodynamics_FO06311330.130\stackrel{*}{-}_{\alpha}mielke-geometrodynamics_FO0631
mielke-geometrodynamics_FO06321330.130\stackrel{* *}{=}=+1mielke-geometrodynamics_FO0632
mielke-geometrodynamics_FO06331331.000\underline{\vartheta}^{\hat{0}}=0mielke-geometrodynamics_FO0633
mielke-geometrodynamics_FO06341330.858\stackrel{( \pm)}{\mathscr{A}_{\hat{0}}}=d^{( \pm)}mielke-geometrodynamics_FO0634
mielke-geometrodynamics_FO06351341.000\alpha=\hat{0}mielke-geometrodynamics_FO0635
mielke-geometrodynamics_FO06361340.561\stackrel{*}{-\vartheta}_{\alpha}mielke-geometrodynamics_FO0636
mielke-geometrodynamics_FO06371340.677\stackrel{( \pm)}{\mathscr{A}_{\alpha}}:=\stackrel{*}{\underline{\Pi}}_{\alpha}mielke-geometrodynamics_FO0637
mielke-geometrodynamics_FO06381340.995\stackrel{ \pm}{p}mielke-geometrodynamics_FO0638
mielke-geometrodynamics_FO06391340.337\stackrel{*( \pm)}{\underline{\Pi}_{\alpha}}mielke-geometrodynamics_FO0639
mielke-geometrodynamics_FO06401340.316\underline{*}^{\vartheta^{\beta}}mielke-geometrodynamics_FO0640
mielke-geometrodynamics_FO06411341.000\alpha=Bmielke-geometrodynamics_FO0641
mielke-geometrodynamics_FO06421340.731\underline{C}_{\mathrm{TT}}mielke-geometrodynamics_FO0642
mielke-geometrodynamics_FO06431340.862\underline{*}^{\underline{\theta^{B}}}mielke-geometrodynamics_FO0643
mielke-geometrodynamics_FO06441340.862B=1,2,3mielke-geometrodynamics_FO0644
mielke-geometrodynamics_FO06451340.637\stackrel{( \pm)}{\underline{T}}^{B}mielke-geometrodynamics_FO0645
mielke-geometrodynamics_FO06461341.000\underline{\Gamma}_{\|}^{\alpha \beta} \stackrel{*}{=} 0mielke-geometrodynamics_FO0646
mielke-geometrodynamics_FO06471350.999\Psi \wedge{ }^{*} \Phi=\Phi \wedge{ }^{*} \Psimielke-geometrodynamics_FO0647
mielke-geometrodynamics_FO06481350.994S U(2)mielke-geometrodynamics_FO0648
mielke-geometrodynamics_FO06491351.000\mathscr{H}_{\Lambda} \Psi_{\Lambda}(A)=0mielke-geometrodynamics_FO0649
mielke-geometrodynamics_FO06501351.000\ell \rightarrow 0mielke-geometrodynamics_FO0650
mielke-geometrodynamics_FO06511351.000\operatorname{dim} \underline{\vartheta}^{B}=[\ell]mielke-geometrodynamics_FO0651
mielke-geometrodynamics_FO06521350.937\underline{T}^{(\mp)}{ }^{B}=0mielke-geometrodynamics_FO0652
mielke-geometrodynamics_FO06531350.802\stackrel{( \pm)}{\underline{T}}=0mielke-geometrodynamics_FO0653
mielke-geometrodynamics_FO06541351.000\mathbb{R}^{4} \cup \infty=S^{4}mielke-geometrodynamics_FO0654
mielke-geometrodynamics_FO06551360.997(r, \psi, \theta, \phi)mielke-geometrodynamics_FO0655
mielke-geometrodynamics_FO06561361.000S^{3}mielke-geometrodynamics_FO0656
mielke-geometrodynamics_FO06571361.000fmielke-geometrodynamics_FO0657
mielke-geometrodynamics_FO06581361.000d f= \pm 2 h d rmielke-geometrodynamics_FO0658
mielke-geometrodynamics_FO06591360.998\eta_{\mu \nu}^{A}:=\eta_{0}{ }^{A}{ }_{\mu \nu}+\delta_{\mu}^{A} \delta_{\nu}^{0}-\delta_{\nu}^{A} \delta_{\mu}^{0}mielke-geometrodynamics_FO0659
mielke-geometrodynamics_FO06601361.000r \rightarrow \inftymielke-geometrodynamics_FO0660
mielke-geometrodynamics_FO06611360.954\stackrel{(\mp)}{T}^{B}=0mielke-geometrodynamics_FO0661
mielke-geometrodynamics_FO06621360.954\stackrel{( \pm)}{C}_{\text {TT }}mielke-geometrodynamics_FO0662
mielke-geometrodynamics_FO06631361.000\Psi_{\|}(\vartheta) \propto e^{-C}mielke-geometrodynamics_FO0663
mielke-geometrodynamics_FO06641361.000\underline{\vartheta}^{\hat{0}}=3 \kappa d \theta_{\mathrm{L}}=h d r= \pm d f / 2mielke-geometrodynamics_FO0664
mielke-geometrodynamics_FO06651360.991T^{\hat{0}}=0mielke-geometrodynamics_FO0665
mielke-geometrodynamics_FO06661371.000A=A_{\mu}^{I} \lambda_{I}mielke-geometrodynamics_FO0666
mielke-geometrodynamics_FO06671370.967d x^{\mu} \in \mathscr{C}mielke-geometrodynamics_FO0667
mielke-geometrodynamics_FO06681371.000\gamma^{\mu}(s)mielke-geometrodynamics_FO0668
mielke-geometrodynamics_FO06691370.826\Psi(A)mielke-geometrodynamics_FO0669
mielke-geometrodynamics_FO06701371.000\mathscr{C} / \mathscr{G}mielke-geometrodynamics_FO0670
mielke-geometrodynamics_FO06711371.000G(\gamma)mielke-geometrodynamics_FO0671
mielke-geometrodynamics_FO06721371.000V(\gamma)mielke-geometrodynamics_FO0672
mielke-geometrodynamics_FO06731381.000|\Psi\ranglemielke-geometrodynamics_FO0673
mielke-geometrodynamics_FO06741381.000\mathbb{R}^{4}mielke-geometrodynamics_FO0674
mielke-geometrodynamics_FO0675 [refined: census]1380.979n^{\alpha}=n\rfloor \vartheta^{\alpha}mielke-geometrodynamics_FO0675
mielke-geometrodynamics_FO06761381.000\left(1 / 16 \pi^{2}\right)mielke-geometrodynamics_FO0676
mielke-geometrodynamics_FO06771381.000\int R^{\alpha \beta} \wedge R_{\alpha \beta}^{(\star)}mielke-geometrodynamics_FO0677
mielke-geometrodynamics_FO06781381.000\left(1 / 8 \pi^{2}\right) \int R_{\alpha}{ }^{\beta} \wedge R_{\beta}{ }^{\alpha}mielke-geometrodynamics_FO0678
mielke-geometrodynamics_FO06791381.000\epsilonmielke-geometrodynamics_FO0679
mielke-geometrodynamics_FO06801381.0000 \leq \epsilon \leq 1mielke-geometrodynamics_FO0680
mielke-geometrodynamics_FO06811380.973\Gamma_{\alpha \beta}(\epsilon)=\Gamma_{\alpha \beta}^{\{ \}}-\epsilon K_{\alpha \beta}mielke-geometrodynamics_FO0681
mielke-geometrodynamics_FO06821380.973\Gamma_{\alpha \beta}(0)=\Gamma_{\alpha \beta}^{\{ \}}mielke-geometrodynamics_FO0682
mielke-geometrodynamics_FO06831381.000\Gamma_{\alpha \beta}mielke-geometrodynamics_FO0683
mielke-geometrodynamics_FO0684 [refined: census]1380.679T:=e_{\alpha}\rfloor T^{\alpha}=d \sigmamielke-geometrodynamics_FO0684
mielke-geometrodynamics_FO06851381.000Nmielke-geometrodynamics_FO0685
mielke-geometrodynamics_FO06861391.000\sigma=mielke-geometrodynamics_FO0686
mielke-geometrodynamics_FO06871390.997\arcsin (|x|)mielke-geometrodynamics_FO0687
mielke-geometrodynamics_FO06881391.000\pi_{3}(S O(4))=mielke-geometrodynamics_FO0688
mielke-geometrodynamics_FO06891391.000\mathbb{Z} \oplus \mathbb{Z}mielke-geometrodynamics_FO0689
mielke-geometrodynamics_FO06901391.000\ell \underline{\vartheta}^{A} \rightarrowmielke-geometrodynamics_FO0690
mielke-geometrodynamics_FO06911390.999\underline{\Gamma}^{\star A}:=\frac{1}{2} \eta^{A B C} \underline{\Gamma}_{B C}mielke-geometrodynamics_FO0691
mielke-geometrodynamics_FO06921390.999\mathfrak{s u}(2)mielke-geometrodynamics_FO0692
mielke-geometrodynamics_FO06931390.718\underline{C}_{\mathrm{TT}} \rightarrow \underline{C}_{\mathrm{RR}}+\Lambda^{\prime} \underline{\eta}mielke-geometrodynamics_FO0693
mielke-geometrodynamics_FO06941391.000\mathbb{R} \times W^{3}mielke-geometrodynamics_FO0694
mielke-geometrodynamics_FO06951391.000d j_{5}mielke-geometrodynamics_FO0695
mielke-geometrodynamics_FO06961391.000d \mathscr{A} \wedge d \mathscr{A}mielke-geometrodynamics_FO0696
mielke-geometrodynamics_FO06971400.685\theta_{\mathrm{T}}=2 / \gammamielke-geometrodynamics_FO0697
mielke-geometrodynamics_FO06981400.985d C_{\text {TT }}mielke-geometrodynamics_FO0698
mielke-geometrodynamics_FO06991411.000\vartheta_{[\beta} \wedge H_{\alpha]}mielke-geometrodynamics_FO0699
mielke-geometrodynamics_FO07001411.000D H_{\alpha \beta}mielke-geometrodynamics_FO0700
mielke-geometrodynamics_FO07011411.000\mu_{\alpha}mielke-geometrodynamics_FO0701
mielke-geometrodynamics_FO07021411.000j_{5}=\bar{\psi}^{*} \gamma \gamma_{5} \psimielke-geometrodynamics_FO0702
mielke-geometrodynamics_FO07031411.000D \theta_{\mathrm{L}} \neq 0mielke-geometrodynamics_FO0703
mielke-geometrodynamics_FO07041411.000\mu_{\alpha} \wedge \vartheta^{\alpha}=0mielke-geometrodynamics_FO0704
mielke-geometrodynamics_FO0705 [refined: census]1410.726T=e_{\alpha}\rfloor T^{\alpha}mielke-geometrodynamics_FO0705
mielke-geometrodynamics_FO07061410.815D D \theta=d d \theta \equiv 0mielke-geometrodynamics_FO0706
mielke-geometrodynamics_FO07071411.000\vartheta^{\beta}mielke-geometrodynamics_FO0707
mielke-geometrodynamics_FO07081410.996\mathscr{A}:={ }^{*}\left(\vartheta^{\alpha} \wedge T_{\alpha}\right)mielke-geometrodynamics_FO0708
mielke-geometrodynamics_FO07091410.999\theta_{\mathrm{L}}mielke-geometrodynamics_FO0709
mielke-geometrodynamics_FO07101411.000T^{[\gamma} \wedge T^{\mu]} \eta_{\alpha \beta \gamma \mu}=0mielke-geometrodynamics_FO0710
mielke-geometrodynamics_FO07111421.000D Hmielke-geometrodynamics_FO0711
mielke-geometrodynamics_FO07121431.000L_{g}mielke-geometrodynamics_FO0712
mielke-geometrodynamics_FO07131431.000{ }^{(i)} T^{\alpha}mielke-geometrodynamics_FO0713
mielke-geometrodynamics_FO07141431.000{ }^{(j)} R^{\alpha \beta}mielke-geometrodynamics_FO0714
mielke-geometrodynamics_FO07151431.000\ell \simeq 10^{-32} \mathrm{~cm}mielke-geometrodynamics_FO0715
mielke-geometrodynamics_FO07161431.000a_{0}, a_{i}(i=1,2,3), \kappamielke-geometrodynamics_FO0716
mielke-geometrodynamics_FO07171431.000b_{j}(j=1, \ldots, 6)mielke-geometrodynamics_FO0717
mielke-geometrodynamics_FO07181441.000C: Q \rightarrow Q^{\prime}=-Qmielke-geometrodynamics_FO0718
mielke-geometrodynamics_FO07191441.000Cmielke-geometrodynamics_FO0719
mielke-geometrodynamics_FO07201440.963Tmielke-geometrodynamics_FO0720
mielke-geometrodynamics_FO07211440.963\stackrel{\wedge}{=}mielke-geometrodynamics_FO0721
mielke-geometrodynamics_FO07221441.000a_{0}=0, a_{i}=1mielke-geometrodynamics_FO0722
mielke-geometrodynamics_FO07231441.000b_{j}=1mielke-geometrodynamics_FO0723
mielke-geometrodynamics_FO07241441.000\theta_{\mathrm{T}}mielke-geometrodynamics_FO0724
mielke-geometrodynamics_FO07251451.000P: \vartheta^{\prime A}=-\vartheta^{A}mielke-geometrodynamics_FO0725
mielke-geometrodynamics_FO07261451.000A=1,2,3mielke-geometrodynamics_FO0726
mielke-geometrodynamics_FO07271451.000\eta_{\alpha \beta \gamma \delta}mielke-geometrodynamics_FO0727
mielke-geometrodynamics_FO07281451.000R_{\alpha}{ }^{\beta} \wedge R_{\beta}{ }^{\alpha}mielke-geometrodynamics_FO0728
mielke-geometrodynamics_FO07291451.000\langle 0| R^{\alpha \beta}|0\rangle=0mielke-geometrodynamics_FO0729
mielke-geometrodynamics_FO07301510.938\Omega_{\mathrm{C}}mielke-geometrodynamics_FO0730
mielke-geometrodynamics_FO07311510.929\operatorname{SL}(2, \mathbb{C}) \approx \widetilde{\mathrm{SO}}(3,1)mielke-geometrodynamics_FO0731
mielke-geometrodynamics_FO07321511.000\sigma_{\alpha \beta}=\frac{1}{2}\left[\gamma_{\alpha}, \gamma_{\beta}\right]mielke-geometrodynamics_FO0732
mielke-geometrodynamics_FO07331511.000\sigma_{\alpha \beta}^{(\star)}=\gamma^{5} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0733
mielke-geometrodynamics_FO07341510.829\gamma^{5}:=\frac{1}{4!} \varepsilon_{\mathrm{abcd}} \gamma^{\mathrm{a}} \gamma^{\mathrm{b}} \gamma^{\mathrm{c}} \gamma^{\mathrm{d}}mielke-geometrodynamics_FO0734
mielke-geometrodynamics_FO07351521.000s=0mielke-geometrodynamics_FO0735
mielke-geometrodynamics_FO07361531.000R_{\alpha \beta}mielke-geometrodynamics_FO0736
mielke-geometrodynamics_FO07371530.813\Gamma^{\alpha \beta}:=\Gamma_{i}^{\alpha \beta} d x^{i}mielke-geometrodynamics_FO0737
mielke-geometrodynamics_FO07381530.977\vartheta^{\alpha}=E_{j}{ }^{\alpha} d x^{j}mielke-geometrodynamics_FO0738
mielke-geometrodynamics_FO07391530.977e_{\alpha}mielke-geometrodynamics_FO0739
mielke-geometrodynamics_FO07401541.000G_{i j}mielke-geometrodynamics_FO0740
mielke-geometrodynamics_FO07411540.494\operatorname{Ric}_{\alpha \beta}:=(-1)^{s} *\left(R_{(\alpha}{ }^{\delta} \wedge \eta_{\delta \mid \beta)}\right)mielke-geometrodynamics_FO0741
mielke-geometrodynamics_FO07421541.000\tau_{\alpha \beta}=\vartheta_{[\alpha} \wedgemielke-geometrodynamics_FO0742
mielke-geometrodynamics_FO07431540.998\mu_{\beta]}mielke-geometrodynamics_FO0743
mielke-geometrodynamics_FO07441540.589\Gamma^{\{\beta}{ }^{\alpha \beta} \propto \partial gmielke-geometrodynamics_FO0744
mielke-geometrodynamics_FO07451541.000{ }^{(\star)}mielke-geometrodynamics_FO0745
mielke-geometrodynamics_FO07461541.000L_{\text {SKY }}^{(\star)}=2 L_{\text {SKY }}mielke-geometrodynamics_FO0746
mielke-geometrodynamics_FO07471541.000j_{5}:=\bar{\psi}^{*} \gamma \gamma_{5} \psimielke-geometrodynamics_FO0747
mielke-geometrodynamics_FO07481551.000D \eta_{\alpha \beta}=0mielke-geometrodynamics_FO0748
mielke-geometrodynamics_FO07491551.000\zeta= \pm 1mielke-geometrodynamics_FO0749
mielke-geometrodynamics_FO07501551.000\zeta=+1mielke-geometrodynamics_FO0750
mielke-geometrodynamics_FO07511551.000\zeta=-1mielke-geometrodynamics_FO0751
mielke-geometrodynamics_FO07521550.999\mathscr{A}:={ }^{*}\left(\vartheta_{\alpha} \wedge T^{\alpha}\right)mielke-geometrodynamics_FO0752
mielke-geometrodynamics_FO07531550.638\left\langle d j_{5}\right\rangle=2 i^{*} m\left\langle\bar{\psi} \gamma_{5} \psi\right\rangle-\left(R_{\alpha \beta}^{\{ \}} \wedge R^{\{j \alpha \beta}+\frac{1}{2} d \mathscr{A} \wedge d \mathscr{A}\right) /mielke-geometrodynamics_FO0753
mielke-geometrodynamics_FO07541551.00048 \pi^{2}mielke-geometrodynamics_FO0754
mielke-geometrodynamics_FO07551561.000d^{4} xmielke-geometrodynamics_FO0755
mielke-geometrodynamics_FO07561560.996{ }^{*} R_{\alpha \beta}=\theta_{\mathrm{L}}^{\star} R_{\alpha \beta}^{(\star)}+\left(\theta_{\mathrm{T}}^{*} \Lambda / 6\right) \eta_{\alpha \beta}mielke-geometrodynamics_FO0756
mielke-geometrodynamics_FO07571560.998\sigma_{\alpha}:=\Sigma_{\alpha}-D^{\{ \}} \mu_{\alpha}mielke-geometrodynamics_FO0757
mielke-geometrodynamics_FO0758 [refined: census]1560.682R:=e_{\alpha}\rfloor e_{\beta}\rfloor R^{\alpha \beta}mielke-geometrodynamics_FO0758
mielke-geometrodynamics_FO07591571.000o_{i j}^{\text {Mink }}mielke-geometrodynamics_FO0759
mielke-geometrodynamics_FO07601570.529D^{\{ \}} G_{\alpha}^{\{ \}} \equiv 0mielke-geometrodynamics_FO0760
mielke-geometrodynamics_FO07611570.999R=-4 \Lambdamielke-geometrodynamics_FO0761
mielke-geometrodynamics_FO07621571.000\Lambda \simeq 1 / \kappamielke-geometrodynamics_FO0762
mielke-geometrodynamics_FO07631571.000R=0mielke-geometrodynamics_FO0763
mielke-geometrodynamics_FO07641571.000h_{i j}:=g_{i j}-g_{i j}^{\mathrm{dS}}mielke-geometrodynamics_FO0764
mielke-geometrodynamics_FO07651571.000g_{i j}^{\mathrm{dS}}mielke-geometrodynamics_FO0765
mielke-geometrodynamics_FO07661581.000m / Hmielke-geometrodynamics_FO0766
mielke-geometrodynamics_FO07671581.000m \leq 7 \times 10^{-32} \mathrm{eV}mielke-geometrodynamics_FO0767
mielke-geometrodynamics_FO07681581.000H \simeq 10^{-33} \mathrm{eV}mielke-geometrodynamics_FO0768
mielke-geometrodynamics_FO07691580.994\Lambda_{\text {obs }}>0mielke-geometrodynamics_FO0769
mielke-geometrodynamics_FO07701580.9941 / g^{2}mielke-geometrodynamics_FO0770
mielke-geometrodynamics_FO07711590.662\operatorname{SU}(2)mielke-geometrodynamics_FO0771
mielke-geometrodynamics_FO07721590.9681974)mielke-geometrodynamics_FO0772
mielke-geometrodynamics_FO07731591.000\overline{S O}(4) \congmielke-geometrodynamics_FO0773
mielke-geometrodynamics_FO07741591.000S U(2) \otimes S U(2)mielke-geometrodynamics_FO0774
mielke-geometrodynamics_FO07751590.719\kappa \Lambda_{\text {obs }} \simeq 10^{-123}mielke-geometrodynamics_FO0775
mielke-geometrodynamics_FO07761590.999\Delta Lmielke-geometrodynamics_FO0776
mielke-geometrodynamics_FO07771590.995\operatorname{Ric}_{\alpha \beta}:={ }^{*}\left(R_{(\alpha}{ }^{\delta} \wedge \eta_{\delta \mid \beta)}\right)mielke-geometrodynamics_FO0777
mielke-geometrodynamics_FO07781601.000H_{\alpha \beta}mielke-geometrodynamics_FO0778
mielke-geometrodynamics_FO07791601.000L_{\text {eff }}mielke-geometrodynamics_FO0779
mielke-geometrodynamics_FO07801600.637n-2mielke-geometrodynamics_FO0780
mielke-geometrodynamics_FO07811601.000P:=\mathbb{R}^{4} \otimesmielke-geometrodynamics_FO0781
mielke-geometrodynamics_FO07821600.945H^{\alpha \beta} \rightarrow \vartheta^{\alpha}mielke-geometrodynamics_FO0782
mielke-geometrodynamics_FO07831601.000H^{\alpha} \rightarrow \Gamma^{\alpha \beta}mielke-geometrodynamics_FO0783
mielke-geometrodynamics_FO07841600.991{ }^{*} D H_{\alpha}{ }^{\beta}mielke-geometrodynamics_FO0784
mielke-geometrodynamics_FO07851600.388{ }^{*}\left(H^{\beta} \wedge \vartheta_{\alpha}\right) \equiv e_{\alpha}mielke-geometrodynamics_FO0785
mielke-geometrodynamics_FO07861600.388H^{\beta}mielke-geometrodynamics_FO0786
mielke-geometrodynamics_FO07871600.644{ }^{*} D H^{\alpha} \cong{ }^{*} E^{\alpha}mielke-geometrodynamics_FO0787
mielke-geometrodynamics_FO07881601.000\widetilde{G}mielke-geometrodynamics_FO0788
mielke-geometrodynamics_FO07891611.000\widetilde{H}_{\alpha \beta}:=-\partial \widetilde{L} / \partial R^{\alpha \beta}mielke-geometrodynamics_FO0789
mielke-geometrodynamics_FO07901611.000\widetilde{H}_{\alpha \beta}=\stackrel{(2)}{H}_{\alpha \beta}+\stackrel{(4)}{H}_{\alpha \beta}+\cdotsmielke-geometrodynamics_FO0790
mielke-geometrodynamics_FO07911611.000\widetilde{H}_{\alpha}:=-\partial \widetilde{L} / \partial T^{\alpha}mielke-geometrodynamics_FO0791
mielke-geometrodynamics_FO07921611.000T^{\alpha}:=mielke-geometrodynamics_FO0792
mielke-geometrodynamics_FO07931611.000D \vartheta^{\alpha}mielke-geometrodynamics_FO0793
mielke-geometrodynamics_FO07941611.000\widetilde{H}_{\alpha \beta \mu \nu}mielke-geometrodynamics_FO0794
mielke-geometrodynamics_FO07951611.000\partial \widetilde{H}_{\mu \nu} / \partial R^{\alpha \beta}=0mielke-geometrodynamics_FO0795
mielke-geometrodynamics_FO07961611.000\theta_{\mathrm{T}} R^{\alpha \beta} \wedge \vartheta_{\alpha} \wedge \vartheta_{\beta}mielke-geometrodynamics_FO0796
mielke-geometrodynamics_FO07971621.000\widetilde{L}mielke-geometrodynamics_FO0797
mielke-geometrodynamics_FO07981621.000\eta_{\alpha \beta}mielke-geometrodynamics_FO0798
mielke-geometrodynamics_FO07991621.000\widetilde{H}_{\alpha \beta}mielke-geometrodynamics_FO0799
mielke-geometrodynamics_FO08001621.000\widetilde{L}=L_{\mathrm{EC}}mielke-geometrodynamics_FO0800
mielke-geometrodynamics_FO08011621.000L=L_{\mathrm{EC}}mielke-geometrodynamics_FO0801
mielke-geometrodynamics_FO08021621.000\theta_{\mathrm{T}}^{*}=1mielke-geometrodynamics_FO0802
mielke-geometrodynamics_FO08031621.000\theta_{\mathrm{T}}=0mielke-geometrodynamics_FO0803
mielke-geometrodynamics_FO08041621.000\theta_{\mathrm{T}}=imielke-geometrodynamics_FO0804
mielke-geometrodynamics_FO0805 [refined: census]1620.436\Gamma_{\alpha}{ }^{\beta} \rightarrow \stackrel{( \pm)}{\Gamma}_{\alpha}{ }^{\beta}:=\Gamma_{\alpha}{ }^{\beta} \mp\left(i \ell^{2} / 2\right) e_{\alpha}\rfloor {}^{(\mp)}{ }^{\beta}mielke-geometrodynamics_FO0805
mielke-geometrodynamics_FO08061620.999i d C_{\mathrm{TT}}mielke-geometrodynamics_FO0806
mielke-geometrodynamics_FO08071620.999{ }^{* *} \Phi=(-1)^{p(4-p)+s} \Phimielke-geometrodynamics_FO0807
mielke-geometrodynamics_FO08081620.997s:=\operatorname{sig}=1mielke-geometrodynamics_FO0808
mielke-geometrodynamics_FO08091631.000\left\{\eta, \eta_{\alpha}, \eta_{\alpha \beta}, \eta_{\alpha \beta \gamma} \eta_{\alpha \beta \gamma \delta}\right\}mielke-geometrodynamics_FO0809
mielke-geometrodynamics_FO0810 [refined: census]1630.925\eta_{\alpha}:=e_{\alpha}\rfloor \eta={ }^{*} \vartheta_{\alpha}, \eta_{\alpha \beta}:=mielke-geometrodynamics_FO0810
mielke-geometrodynamics_FO0811 [refined: census]1630.920e_{\beta}\rfloor \eta_{\alpha}=\eta_{\alpha \beta \gamma} \vartheta^{\gamma}=e_{\beta}\rfloor e_{\alpha}\rfloor \eta={ }^{*}\left(\vartheta_{\alpha} \wedge \vartheta_{\beta}\right)=\frac{1}{2} \eta_{\alpha \beta \gamma \delta} \vartheta^{\gamma} \wedge \vartheta^{\delta}mielke-geometrodynamics_FO0811
mielke-geometrodynamics_FO08121630.920\eta_{\alpha \beta \gamma}:=e_{\gamma}mielke-geometrodynamics_FO0812
mielke-geometrodynamics_FO08131630.862\rfloor \eta_{\alpha \beta}={ }^{*}\left(\vartheta_{\alpha} \wedge \vartheta_{\beta} \wedge \vartheta_{\gamma}\right)mielke-geometrodynamics_FO0813
mielke-geometrodynamics_FO08141630.862o_{\alpha \beta}=e^{i}{ }_{\alpha} e^{j}{ }_{\beta} g_{i j}mielke-geometrodynamics_FO0814
mielke-geometrodynamics_FO08151631.000o_{\alpha \beta}mielke-geometrodynamics_FO0815
mielke-geometrodynamics_FO08161631.000\Phi=\frac{1}{p!} \Phi_{i_{1} \cdots i_{p}} d x^{i_{1}} \wedge \cdots \wedge d x^{i_{p}}mielke-geometrodynamics_FO0816
mielke-geometrodynamics_FO08171630.769{ }^{* *} \Phi=(-1)^{p(4-p)+\operatorname{sig}} \Phimielke-geometrodynamics_FO0817
mielke-geometrodynamics_FO08181630.998\left\{\mathbf{1}_{4}, \gamma_{\alpha}, \sigma_{\alpha \beta}, \gamma_{5}, \gamma_{5} \gamma_{\alpha}\right\}mielke-geometrodynamics_FO0818
mielke-geometrodynamics_FO08191630.994\sigma_{\alpha \beta}:=\frac{i}{2}\left(\gamma_{\alpha} \gamma_{\beta}-\gamma_{\beta} \gamma_{\alpha}\right)mielke-geometrodynamics_FO0819
mielke-geometrodynamics_FO08201630.994\gamma_{5}=-i \gamma_{\hat{0}} \gamma_{\hat{1}} \gamma_{\hat{2}} \gamma_{\hat{3}}mielke-geometrodynamics_FO0820
mielke-geometrodynamics_FO08211630.736\gamma_{5}^{2}=(-1)^{\mathrm{sig}+1} \mathbf{1}_{4}mielke-geometrodynamics_FO0821
mielke-geometrodynamics_FO08221631.000\operatorname{Tr}\left(\gamma_{\alpha} \gamma_{\beta}\right)=4 o_{\alpha \beta}mielke-geometrodynamics_FO0822
mielke-geometrodynamics_FO08231631.000\operatorname{Tr}\left(\sigma_{\alpha \beta} \sigma^{\gamma \delta}\right)=8 \delta_{[\alpha}^{\gamma} \delta_{\beta]}^{\delta}mielke-geometrodynamics_FO0823
mielke-geometrodynamics_FO08241631.000[\alpha \beta]=\frac{1}{2}(\alpha \beta-\beta \alpha)mielke-geometrodynamics_FO0824
mielke-geometrodynamics_FO08251640.988\operatorname{Lie}mielke-geometrodynamics_FO0825
mielke-geometrodynamics_FO08261640.988\sigma_{\alpha \beta}^{(\star)}:=\frac{1}{2} \sigma^{\gamma \delta} \eta_{\alpha \beta \gamma \delta}=i \gamma_{5} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0826
mielke-geometrodynamics_FO08271640.998\sigma^{(\star)}mielke-geometrodynamics_FO0827
mielke-geometrodynamics_FO08281640.998\gamma_{5}mielke-geometrodynamics_FO0828
mielke-geometrodynamics_FO08291640.99512 i^{*} \gammamielke-geometrodynamics_FO0829
mielke-geometrodynamics_FO08301641.000P_{ \pm}=\frac{1}{2}\left(1 \pm \gamma_{5}\right)mielke-geometrodynamics_FO0830
mielke-geometrodynamics_FO08311641.000P_{ \pm} P_{ \pm}=P_{ \pm}mielke-geometrodynamics_FO0831
mielke-geometrodynamics_FO08321640.981\gamma \rightarrow \widetilde{\gamma}=e^{\varphi} \gammamielke-geometrodynamics_FO0832
mielke-geometrodynamics_FO08331641.000{ }^{\#}mielke-geometrodynamics_FO0833
mielke-geometrodynamics_FO08341641.000hmielke-geometrodynamics_FO0834
mielke-geometrodynamics_FO08351640.524{ }^{* *}=-1mielke-geometrodynamics_FO0835
mielke-geometrodynamics_FO08361640.524i^{*}mielke-geometrodynamics_FO0836
mielke-geometrodynamics_FO08371651.000\Gamma:=\frac{i}{4} \Gamma^{\alpha \beta} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0837
mielke-geometrodynamics_FO08381651.000\overline{S O}_{\circ}(1,3) \cong S L(2, C)mielke-geometrodynamics_FO0838
mielke-geometrodynamics_FO08391650.975[\Psi, \Phi]:=\Psi \wedge \Phi-(-1)^{p q}mielke-geometrodynamics_FO0839
mielke-geometrodynamics_FO08401650.755\Phi \wedge \Psimielke-geometrodynamics_FO0840
mielke-geometrodynamics_FO08411651.000K:=\frac{i}{4} K^{\alpha \beta} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0841
mielke-geometrodynamics_FO08421661.000{ }^{(2)} \Theta:=mielke-geometrodynamics_FO0842
mielke-geometrodynamics_FO08431661.000\frac{1}{3} \gamma \wedge Tmielke-geometrodynamics_FO0843
mielke-geometrodynamics_FO08441661.000{ }^{(3)} \Theta:=-\frac{1}{3} *(\gamma \wedge \mathscr{A})mielke-geometrodynamics_FO0844
mielke-geometrodynamics_FO08451661.000{ }^{(1)} \Theta:=mielke-geometrodynamics_FO0845
mielke-geometrodynamics_FO08461661.000\Theta-{ }^{(2)} \Theta-{ }^{(3)} \Thetamielke-geometrodynamics_FO0846
mielke-geometrodynamics_FO08471660.984\widetilde{\mathscr{A}}=\mathscr{A}mielke-geometrodynamics_FO0847
mielke-geometrodynamics_FO08481671.000D \Omega^{g(\star)} \equiv 0mielke-geometrodynamics_FO0848
mielke-geometrodynamics_FO08491671.000D \eta_{\alpha \beta \gamma \delta}=0mielke-geometrodynamics_FO0849
mielke-geometrodynamics_FO08501670.995\mathscr{A}:={ }^{*}\left(\vartheta_{\alpha} \wedge T^{\alpha}\right)=\mathscr{A}_{i} d x^{i}mielke-geometrodynamics_FO0850
mielke-geometrodynamics_FO08511680.471R^{\{ \}}:=(-1)^{\text {sig }+1 ~ *}\left(R^{\{j\} \beta} \wedge \eta_{\beta \alpha}\right)mielke-geometrodynamics_FO0851
mielke-geometrodynamics_FO08521680.995L_{\text {SKY }}mielke-geometrodynamics_FO0852
mielke-geometrodynamics_FO08531680.827\operatorname{Ric}_{\alpha \beta}:=(-1)^{\text {sig } *}\left(R_{(\alpha}{ }^{\delta} \wedge \eta_{\delta \mid \beta)}\right)mielke-geometrodynamics_FO0853
mielke-geometrodynamics_FO08541691.000G_{\alpha}:=R^{\beta \gamma} \wedge \eta_{\alpha \beta \gamma} / 2mielke-geometrodynamics_FO0854
mielke-geometrodynamics_FO08551690.894G^{\{ \}}=G_{\alpha}^{\{ \} \beta} \eta_{\beta} \gamma^{\alpha}mielke-geometrodynamics_FO0855
mielke-geometrodynamics_FO08561700.9832+1mielke-geometrodynamics_FO0856
mielke-geometrodynamics_FO08571710.998\mathrm{m} \rightarrow 0mielke-geometrodynamics_FO0857
mielke-geometrodynamics_FO08581710.998\mathrm{dS}_{4}mielke-geometrodynamics_FO0858
mielke-geometrodynamics_FO08591710.999\mathrm{AdS}_{4}mielke-geometrodynamics_FO0859
mielke-geometrodynamics_FO08601710.8785, \mathbb{R}mielke-geometrodynamics_FO0860
mielke-geometrodynamics_FO08611721.000R+R^{2}+Q^{2}mielke-geometrodynamics_FO0861
mielke-geometrodynamics_FO08621730.999(2014,2006)mielke-geometrodynamics_FO0862
mielke-geometrodynamics_FO08631730.999\lambda_{\mathrm{DE}}=\left(\hbar c / \rho_{\mathrm{DE}}\right)^{1 / 4} \simeq 85 \mu \mathrm{~m}mielke-geometrodynamics_FO0863
mielke-geometrodynamics_FO08641741.000[\hbar]=[p][q]mielke-geometrodynamics_FO0864
mielke-geometrodynamics_FO08651741.000\hbarmielke-geometrodynamics_FO0865
mielke-geometrodynamics_FO08661741.000C:=\frac{i}{4} C^{\alpha \beta} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0866
mielke-geometrodynamics_FO08671740.998\Psi:=\frac{i}{4} \Psi_{j}^{\alpha \beta} \sigma_{\alpha \beta} d x^{j}mielke-geometrodynamics_FO0867
mielke-geometrodynamics_FO08681740.998\Phi:=\frac{i}{4} \Phi^{\alpha \beta} \sigma_{\alpha \beta}mielke-geometrodynamics_FO0868
mielke-geometrodynamics_FO08691741.000\sigma_{\alpha \beta}mielke-geometrodynamics_FO0869
mielke-geometrodynamics_FO08701751.000\Gammamielke-geometrodynamics_FO0870
mielke-geometrodynamics_FO08711751.000\Omega^{g}mielke-geometrodynamics_FO0871
mielke-geometrodynamics_FO08721751.000C, \Psimielke-geometrodynamics_FO0872
mielke-geometrodynamics_FO08731751.000s^{2}=0mielke-geometrodynamics_FO0873
mielke-geometrodynamics_FO08741750.948^{2}mielke-geometrodynamics_FO0874
mielke-geometrodynamics_FO08751751.000s s=0mielke-geometrodynamics_FO0875
mielke-geometrodynamics_FO08761751.000(d \oplus s)(d \oplus s) \equiv 0mielke-geometrodynamics_FO0876
mielke-geometrodynamics_FO08771751.000[s, d]:=s d+d s=0mielke-geometrodynamics_FO0877
mielke-geometrodynamics_FO08781750.615\bar{C}, \bar{\chi}mielke-geometrodynamics_FO0878
mielke-geometrodynamics_FO08791750.615\bar{\Phi}mielke-geometrodynamics_FO0879
mielke-geometrodynamics_FO08801751.000[\Psi, \Phi]:=\Psi \wedge \Phi-mielke-geometrodynamics_FO0880
mielke-geometrodynamics_FO08811750.510(-1)^{\left(p_{1}+g_{1}\right)\left(p_{2}+g_{2}\right)} \Phi \wedge \Psimielke-geometrodynamics_FO0881
mielke-geometrodynamics_FO08821761.000\bar{\eta}mielke-geometrodynamics_FO0882
mielke-geometrodynamics_FO08831761.000\mathbb{B}mielke-geometrodynamics_FO0883
mielke-geometrodynamics_FO08841760.998\alpha=\alpha_{i} d x^{i}mielke-geometrodynamics_FO0884
mielke-geometrodynamics_FO08851760.999\lambdamielke-geometrodynamics_FO0885
mielke-geometrodynamics_FO08861760.999\alphamielke-geometrodynamics_FO0886
mielke-geometrodynamics_FO08871761.000C \rightarrow(\alpha+mielke-geometrodynamics_FO0887
mielke-geometrodynamics_FO08881760.712\lambda) C, \Psi \rightarrow(\alpha+\lambda) \Psimielke-geometrodynamics_FO0888
mielke-geometrodynamics_FO08891760.712\Phi \rightarrow(\alpha+\lambda)^{2} \Phimielke-geometrodynamics_FO0889
mielke-geometrodynamics_FO08901761.000\gamma=\vartheta^{\alpha} \gamma_{\alpha}mielke-geometrodynamics_FO0890
mielke-geometrodynamics_FO08911761.000\widetilde{\Theta}:=\Theta \oplus \psimielke-geometrodynamics_FO0891
mielke-geometrodynamics_FO08921760.999\psi:=\psi_{j}^{\alpha} \gamma_{\alpha} d x^{j}mielke-geometrodynamics_FO0892
mielke-geometrodynamics_FO08931770.885s \rightarrow \widetilde{s}=s+£_{\zeta}mielke-geometrodynamics_FO0893
mielke-geometrodynamics_FO0894 [refined: census]1770.566\mathrm{L}_{\zeta}:=\zeta\rfloor D-D \zeta\rfloormielke-geometrodynamics_FO0894
mielke-geometrodynamics_FO08951770.566\zeta=\zeta^{i} \partial_{i}mielke-geometrodynamics_FO0895
mielke-geometrodynamics_FO08961770.339\mathfrak{L}_{\zeta}mielke-geometrodynamics_FO0896
mielke-geometrodynamics_FO08971770.339\zetamielke-geometrodynamics_FO0897
mielke-geometrodynamics_FO08981770.339s \zeta=\phi+\mathfrak{L}_{\zeta} \zetamielke-geometrodynamics_FO0898
mielke-geometrodynamics_FO08991771.000p+1mielke-geometrodynamics_FO0899
mielke-geometrodynamics_FO09001770.497\exp (\zeta\rfloor) \widetilde{\Omega}^{g}mielke-geometrodynamics_FO0900
mielke-geometrodynamics_FO0901 [refined: census]1770.497\exp \left(\zeta\rfloor\right)(\widetilde{\Theta} \oplus \phi)mielke-geometrodynamics_FO0901
mielke-geometrodynamics_FO09021770.497\phi:=\phi^{\alpha} \gamma_{\alpha}mielke-geometrodynamics_FO0902
mielke-geometrodynamics_FO09031771.000dmielke-geometrodynamics_FO0903
mielke-geometrodynamics_FO09041771.000\Gamma^{(\mathrm{T})}=(\gamma-D \xi) / \ellmielke-geometrodynamics_FO0904
mielke-geometrodynamics_FO09051771.000\Omega^{(\mathrm{T})}=mielke-geometrodynamics_FO0905
mielke-geometrodynamics_FO09061771.000D \Gamma^{(\mathrm{T})}=(\Theta-D D \xi) / \ellmielke-geometrodynamics_FO0906
mielke-geometrodynamics_FO09071771.000\Gamma^{(\mathrm{T})}mielke-geometrodynamics_FO0907
mielke-geometrodynamics_FO09081771.000\gamma \rightarrow \widetilde{\gamma}:=\ell\left(\Gamma^{(\mathrm{T})} \oplus c\right)mielke-geometrodynamics_FO0908
mielke-geometrodynamics_FO09091771.000\xi:=\xi^{\alpha} \gamma_{\alpha}mielke-geometrodynamics_FO0909
mielke-geometrodynamics_FO09101771.000A(4, \mathbb{R}) / G L(4, \mathbb{R}) \approx \mathbb{R}^{4}mielke-geometrodynamics_FO0910
mielke-geometrodynamics_FO09111781.000\Gamma^{(\mathrm{T})} \stackrel{*}{=} 0mielke-geometrodynamics_FO0911
mielke-geometrodynamics_FO09121780.995S U(N)mielke-geometrodynamics_FO0912
mielke-geometrodynamics_FO09131780.995S L(4, \mathbb{R})mielke-geometrodynamics_FO0913
mielke-geometrodynamics_FO09141780.899\mathrm{SO}(1,3)mielke-geometrodynamics_FO0914
mielke-geometrodynamics_FO09151780.467=0mielke-geometrodynamics_FO0915
mielke-geometrodynamics_FO09161780.999s\{\cdots\}mielke-geometrodynamics_FO0916
mielke-geometrodynamics_FO09171781.000d^{*} \Gamma=0, D^{*} \Psi=0mielke-geometrodynamics_FO0917
mielke-geometrodynamics_FO09181781.000\Omega^{g( \pm)}=0mielke-geometrodynamics_FO0918
mielke-geometrodynamics_FO09191781.000C Pmielke-geometrodynamics_FO0919
mielke-geometrodynamics_FO09201781.000s L_{\text {Euler }}=mielke-geometrodynamics_FO0920
mielke-geometrodynamics_FO09211780.998(-1)^{\text {sig }+1} d\left(\Psi^{\alpha \beta} \wedge R_{\alpha \beta}^{(\star)}\right)mielke-geometrodynamics_FO0921
mielke-geometrodynamics_FO09221791.000\bar{\chi}mielke-geometrodynamics_FO0922
mielke-geometrodynamics_FO09231790.993\widetilde{\Psi}_{\mathrm{F}}:=\bar{C}_{\alpha \beta}\left(d^{*} \Gamma^{\alpha \beta}+\frac{1}{2}{ }^{*} \mathbb{B}^{\alpha \beta}\right)mielke-geometrodynamics_FO0923
mielke-geometrodynamics_FO09241790.835\{\cdots\}mielke-geometrodynamics_FO0924
mielke-geometrodynamics_FO09251790.998d^{*} \Gamma={ }^{*} \mathbb{B}mielke-geometrodynamics_FO0925
mielke-geometrodynamics_FO09261791.000\rho=0mielke-geometrodynamics_FO0926
mielke-geometrodynamics_FO09271801.000\rho=1mielke-geometrodynamics_FO0927
mielke-geometrodynamics_FO09281801.000D \Omega^{g} \equiv 0mielke-geometrodynamics_FO0928
mielke-geometrodynamics_FO09291800.960T_{\mu \nu}:=2^{*}\left(\partial L / \partial g_{\mu \nu}\right)=0mielke-geometrodynamics_FO0929
mielke-geometrodynamics_FO09301810.999\mathscr{A}:={ }^{*}\left(\vartheta_{\alpha} \wedge\right.mielke-geometrodynamics_FO0930
mielke-geometrodynamics_FO09311810.999T^{\alpha}mielke-geometrodynamics_FO0931
mielke-geometrodynamics_FO09321811.000\gamma:=\vartheta^{\alpha} \gamma_{\alpha}mielke-geometrodynamics_FO0932
mielke-geometrodynamics_FO09331811.000d^{*} \gamma=0mielke-geometrodynamics_FO0933
mielke-geometrodynamics_FO09341811.000\widetilde{L}_{\mathrm{FP}}:=L_{\mathrm{FP}}+\Delta L_{\mathrm{FP}}mielke-geometrodynamics_FO0934
mielke-geometrodynamics_FO09351811.000imielke-geometrodynamics_FO0935
mielke-geometrodynamics_FO09361810.692\stackrel{ \pm}{\Omega^{g}}mielke-geometrodynamics_FO0936
mielke-geometrodynamics_FO09371820.811\theta=\pi / 2mielke-geometrodynamics_FO0937
mielke-geometrodynamics_FO09381820.811\stackrel{+}{\Omega}{ }^{g}mielke-geometrodynamics_FO0938
mielke-geometrodynamics_FO09391821.000\theta=3 \pi / 2mielke-geometrodynamics_FO0939
mielke-geometrodynamics_FO09401821.000\bar{\Omega}^{g}mielke-geometrodynamics_FO0940
mielke-geometrodynamics_FO09411821.000\theta_{\mathrm{L}}=\theta_{\mathrm{T}}=0mielke-geometrodynamics_FO0941
mielke-geometrodynamics_FO09421821.000\theta_{\mathrm{L}}^{\star}=\mp(-1)^{\text {sig }}mielke-geometrodynamics_FO0942
mielke-geometrodynamics_FO09431830.983L_{\mathrm{qPG}}mielke-geometrodynamics_FO0943
mielke-geometrodynamics_FO09441831.000a_{(M)}mielke-geometrodynamics_FO0944
mielke-geometrodynamics_FO09451831.000b_{(N)}mielke-geometrodynamics_FO0945
mielke-geometrodynamics_FO09461831.000\theta_{\mathrm{T}}, \theta_{\mathrm{T}}^{*}mielke-geometrodynamics_FO0946
mielke-geometrodynamics_FO09471831.000\theta_{\mathrm{L}}^{\star}mielke-geometrodynamics_FO0947
mielke-geometrodynamics_FO09481831.000a_{0}=0, b_{(N)}=1mielke-geometrodynamics_FO0948
mielke-geometrodynamics_FO09491830.359d C_{\mathrm{TT}}{ }^{*}:=d\left(\vartheta^{\alpha} \wedge{ }^{*} T_{\alpha}\right) / 2 \ell^{2}mielke-geometrodynamics_FO0949
mielke-geometrodynamics_FO09501831.000\frac{1}{2} s \bar{\chi}^{\alpha \beta} \wedge\left(H_{\alpha \beta}+\partial L_{\theta} / \partial R^{\alpha \beta}\right)mielke-geometrodynamics_FO0950
mielke-geometrodynamics_FO09511830.680\widetilde{L}_{\mathrm{FP}}mielke-geometrodynamics_FO0951
mielke-geometrodynamics_FO09521841.000Dmielke-geometrodynamics_FO0952
mielke-geometrodynamics_FO09531841.000\vartheta_{\alpha} \wedge \vartheta_{\beta}mielke-geometrodynamics_FO0953
mielke-geometrodynamics_FO09541840.999\tau_{\alpha \beta}=0mielke-geometrodynamics_FO0954
mielke-geometrodynamics_FO09551841.000H_{\alpha}(* *)mielke-geometrodynamics_FO0955
mielke-geometrodynamics_FO09561851.000H_{\alpha \beta}(* *) \wedge \vartheta^{\alpha} \wedge \vartheta^{\beta}mielke-geometrodynamics_FO0956
mielke-geometrodynamics_FO09571851.000\theta_{\mathrm{L}} \neq 0mielke-geometrodynamics_FO0957
mielke-geometrodynamics_FO09581851.000R_{\alpha \beta} \wedge \vartheta^{\alpha} \wedge \vartheta^{\beta}=0mielke-geometrodynamics_FO0958
mielke-geometrodynamics_FO09591851.000\theta_{\mathrm{L}}=0mielke-geometrodynamics_FO0959
mielke-geometrodynamics_FO09601851.000\theta_{\mathrm{T}} R^{\alpha \beta} \wedge \vartheta_{\alpha} \wedge \vartheta_{\beta} / 4 \ell^{2}mielke-geometrodynamics_FO0960
mielke-geometrodynamics_FO09611861.000T^{\alpha} \simeq 0mielke-geometrodynamics_FO0961
mielke-geometrodynamics_FO09621861.000T^{\alpha}=0mielke-geometrodynamics_FO0962
mielke-geometrodynamics_FO09631861.000\lambda_{\alpha}mielke-geometrodynamics_FO0963
mielke-geometrodynamics_FO09641860.382\Gamma^{\{j \alpha \beta}mielke-geometrodynamics_FO0964
mielke-geometrodynamics_FO09651860.803\mu_{\alpha}=\frac{1}{4} \vartheta_{\alpha} \wedge{ }^{*} j_{5}mielke-geometrodynamics_FO0965
mielke-geometrodynamics_FO09661861.000\mu_{\alpha} \wedge \delta T^{\alpha}mielke-geometrodynamics_FO0966
mielke-geometrodynamics_FO09671861.000D R_{\alpha \beta} \equiv 0, D R_{\alpha \beta}^{(\star)} \equivmielke-geometrodynamics_FO0967
mielke-geometrodynamics_FO09681860.4200, D \eta_{\alpha \beta}=0mielke-geometrodynamics_FO0968
mielke-geometrodynamics_FO09691860.420D\left(\vartheta_{\alpha} \wedge \vartheta_{\beta}\right)=2 T_{[\alpha} \wedge \vartheta_{\beta]}=0mielke-geometrodynamics_FO0969
mielke-geometrodynamics_FO09701861.000R_{\alpha \beta}^{(\star)}mielke-geometrodynamics_FO0970
mielke-geometrodynamics_FO09711860.428G^{\{ \}}:=R^{\{1\} \beta \gamma} \wedge \eta_{\alpha \beta \gamma} \gamma^{\alpha} / 2mielke-geometrodynamics_FO0971
mielke-geometrodynamics_FO09721860.997G_{i j}:=\operatorname{Ric}_{i j}^{\{ \}}-\frac{1}{2} g_{i j}mielke-geometrodynamics_FO0972
mielke-geometrodynamics_FO09731860.993\kappa_{\text {eff }}=\ell^{2} / \theta_{\mathrm{T}}^{*}mielke-geometrodynamics_FO0973
mielke-geometrodynamics_FO09741861.000\theta_{\mathrm{T}}^{*}mielke-geometrodynamics_FO0974
mielke-geometrodynamics_FO09751871.000\widehat{\Sigma}_{\alpha}mielke-geometrodynamics_FO0975
mielke-geometrodynamics_FO09761870.987\kappa_{\text {eff }}=8 \pi G_{\mathrm{N}} / c^{4}mielke-geometrodynamics_FO0976
mielke-geometrodynamics_FO09771870.894L_{\text {qPG }}mielke-geometrodynamics_FO0977
mielke-geometrodynamics_FO09781871.000\langle\varphi\rangle \propto 1 / \ellmielke-geometrodynamics_FO0978
mielke-geometrodynamics_FO09791881.000amielke-geometrodynamics_FO0979
mielke-geometrodynamics_FO09801881.000\Phi=a+i f_{\varphi} \exp \left(-\varphi / f_{\varphi}\right)mielke-geometrodynamics_FO0980
mielke-geometrodynamics_FO09811920.954\Lambda_{\text {eff }}>0mielke-geometrodynamics_FO0981
mielke-geometrodynamics_FO09821930.989\mathrm{N}=\mathrm{N}(\mathrm{r} \pm \mathrm{t})mielke-geometrodynamics_FO0982
mielke-geometrodynamics_FO09831930.989rmielke-geometrodynamics_FO0983
mielke-geometrodynamics_FO09841930.998\Lambda_{\text {eff }}=0mielke-geometrodynamics_FO0984
mielke-geometrodynamics_FO09851940.358{ }^{*}mielke-geometrodynamics_FO0985
mielke-geometrodynamics_FO09861940.996\mathrm{u}^{2}-v^{2}=1mielke-geometrodynamics_FO0986
mielke-geometrodynamics_FO09871940.996\mathrm{r}=\mathrm{r}^{*}=\mathrm{o}mielke-geometrodynamics_FO0987
mielke-geometrodynamics_FO09881941.000\tilde{\mathrm{v}}:=\mathrm{iv}mielke-geometrodynamics_FO0988
mielke-geometrodynamics_FO09891940.531\mathrm{S}^{2}mielke-geometrodynamics_FO0989
mielke-geometrodynamics_FO09901940.531\mathrm{e}^{v}=0mielke-geometrodynamics_FO0990
mielke-geometrodynamics_FO09911941.000\tau:=mielke-geometrodynamics_FO0991
mielke-geometrodynamics_FO09921941.000\mathrm{K}_{3}mielke-geometrodynamics_FO0992
mielke-geometrodynamics_FO09931950.629\omega^{g}mielke-geometrodynamics_FO0993
mielke-geometrodynamics_FO09941950.975R Cmielke-geometrodynamics_FO0994
mielke-geometrodynamics_FO09951950.917\Omega_{\mathrm{C}}^{\{ \}}mielke-geometrodynamics_FO0995
mielke-geometrodynamics_FO09961951.000\mathrm{f}_{\mathrm{i}}=\mathrm{o}mielke-geometrodynamics_FO0996
mielke-geometrodynamics_FO09971961.000K \wedge Kmielke-geometrodynamics_FO0997
mielke-geometrodynamics_FO09981961.000\mu=0mielke-geometrodynamics_FO0998
mielke-geometrodynamics_FO09991961.000m umielke-geometrodynamics_FO0999
mielke-geometrodynamics_FO10001971.000\kappa<0mielke-geometrodynamics_FO1000
mielke-geometrodynamics_FO10011971.000\mathrm{t} \rightarrow-\mathrm{i} \taumielke-geometrodynamics_FO1001
mielke-geometrodynamics_FO10021970.687\mathrm{f}=\mathrm{T}_{\hat{0} \hat{1}}^{. . \hat{0}}mielke-geometrodynamics_FO1002
mielke-geometrodynamics_FO10031970.790\mathrm{g}=\mathrm{T}_{\hat{1} \hat{2}}^{\cdot \hat{2}}=\mathrm{T}_{\hat{1} \hat{3}}^{\cdot \hat{3}}mielke-geometrodynamics_FO1003
mielke-geometrodynamics_FO10041981.000\mathrm{n}=4mielke-geometrodynamics_FO1004
mielke-geometrodynamics_FO10051980.998\mathrm{R}^{6}mielke-geometrodynamics_FO1005
mielke-geometrodynamics_FO10061990.995\gamma_{2}^{g}mielke-geometrodynamics_FO1006
mielke-geometrodynamics_FO10071991.000\mathrm{H}_{\mathrm{P}}(\mathrm{M}, \mathbb{R})mielke-geometrodynamics_FO1007
mielke-geometrodynamics_FO10081991.000\mathrm{b}:=\operatorname{dim} \mathrm{H}_{\mathrm{p}}(\mathrm{M}, \mathbb{R})mielke-geometrodynamics_FO1008
mielke-geometrodynamics_FO10091991.000\chi(\mathrm{M})mielke-geometrodynamics_FO1009
mielke-geometrodynamics_FO10101991.000\mathrm{s}=1mielke-geometrodynamics_FO1010
mielke-geometrodynamics_FO10111990.996\alpha: \omega^{\mathrm{g}}-\omega^{\mathrm{g}}mielke-geometrodynamics_FO1011
mielke-geometrodynamics_FO10122001.000\mathrm{B}^{\mathrm{n}}mielke-geometrodynamics_FO1012
mielke-geometrodynamics_FO10132001.000\partial \mathrm{B}^{\mathrm{n}}=\mathrm{S}^{\mathrm{n}-1}mielke-geometrodynamics_FO1013
mielke-geometrodynamics_FO10142000.736\mathrm{W}^{\mathrm{n}}:=\mathrm{S}^{1} \times \mathrm{S}^{\mathrm{n}-1}mielke-geometrodynamics_FO1014
mielke-geometrodynamics_FO10152000.736\left(\mathrm{S}^{1} \times \mathrm{S}^{\mathrm{n}-1}\right)mielke-geometrodynamics_FO1015
mielke-geometrodynamics_FO10162000.980\mathbb{C P}^{2}mielke-geometrodynamics_FO1016
mielke-geometrodynamics_FO10172001.000\mathrm{E}^{2}mielke-geometrodynamics_FO1017
mielke-geometrodynamics_FO10182011.000\mathrm{T}^{4}=\mathrm{S}^{1} \times \mathrm{S}^{1} \times \mathrm{S}^{1} \times \mathrm{S}^{1}mielke-geometrodynamics_FO1018
mielke-geometrodynamics_FO10192020.982\mathscr{S}_{*}(\mathrm{M}):=\mathscr{M} / \tilde{\mathscr{D}}mielke-geometrodynamics_FO1019
mielke-geometrodynamics_FO10202031.000S^{2}mielke-geometrodynamics_FO1020
mielke-geometrodynamics_FO10212031.000\mathbb{R} \timesmielke-geometrodynamics_FO1021
mielke-geometrodynamics_FO10222031.000S^{1} \times S^{2}mielke-geometrodynamics_FO1022
mielke-geometrodynamics_FO10232031.000\mathbf{R}^{4}mielke-geometrodynamics_FO1023
mielke-geometrodynamics_FO10242031.000U_{4}mielke-geometrodynamics_FO1024
mielke-geometrodynamics_FO10252050.999\mathrm{R}+\mathrm{R}^{2}mielke-geometrodynamics_FO1025
mielke-geometrodynamics_FO10262080.837C_{\mathrm{TL}}mielke-geometrodynamics_FO1026
mielke-geometrodynamics_FO10272080.994\varepsilon \rightarrow 1 / \varepsilonmielke-geometrodynamics_FO1027
mielke-geometrodynamics_FO10282080.674\Gamma^{\beta \gamma}=\Gamma_{j}^{\beta \gamma} d x^{j}mielke-geometrodynamics_FO1028
mielke-geometrodynamics_FO10292091.000\Gamma_{\alpha}^{\star}mielke-geometrodynamics_FO1029
mielke-geometrodynamics_FO10302091.000\vartheta_{\alpha} / \ellmielke-geometrodynamics_FO1030
mielke-geometrodynamics_FO10312091.000C=\operatorname{Tr}\{A \wedge F\}mielke-geometrodynamics_FO1031
mielke-geometrodynamics_FO10322091.000T_{\alpha}mielke-geometrodynamics_FO1032
mielke-geometrodynamics_FO10332091.000R_{\alpha}^{\star}mielke-geometrodynamics_FO1033
mielke-geometrodynamics_FO10342091.000\eta_{\alpha}mielke-geometrodynamics_FO1034
mielke-geometrodynamics_FO10412100.872\mathrm{SO}(1,2)mielke-geometrodynamics_FO1041
mielke-geometrodynamics_FO10432111.000H=-\partial L / \partial Fmielke-geometrodynamics_FO1043
mielke-geometrodynamics_FO10442111.000H_{\alpha}=H_{[\alpha \beta]} \vartheta^{\beta}mielke-geometrodynamics_FO1044
mielke-geometrodynamics_FO10452111.000S_{\alpha}=-{ }^{*} H_{\alpha}mielke-geometrodynamics_FO1045
mielke-geometrodynamics_FO10462110.957\mathbb{R}^{3} \otimes S O(1,2)mielke-geometrodynamics_FO1046
mielke-geometrodynamics_FO10472111.000\theta_{\mathrm{T}}, \theta_{\mathrm{L}}mielke-geometrodynamics_FO1047
mielke-geometrodynamics_FO10482111.000\theta_{\mathrm{TL}}=-\chimielke-geometrodynamics_FO1048
mielke-geometrodynamics_FO10492120.997C_{\mathrm{T}}, C_{\mathrm{L}}mielke-geometrodynamics_FO1049
mielke-geometrodynamics_FO10502121.000C_{\mathrm{T}}mielke-geometrodynamics_FO1050
mielke-geometrodynamics_FO10512121.000\Gamma^{\star \alpha}mielke-geometrodynamics_FO1051
mielke-geometrodynamics_FO10522121.000\theta_{\mathrm{T}} / 2 \ellmielke-geometrodynamics_FO1052
mielke-geometrodynamics_FO10532121.000\varepsilon=\theta_{\mathrm{TL}} \theta_{\mathrm{T}} / Amielke-geometrodynamics_FO1053
mielke-geometrodynamics_FO10542121.000\rho=-\theta_{\mathrm{T}}^{2} / Amielke-geometrodynamics_FO1054
mielke-geometrodynamics_FO10552121.000A:=-(-1)^{s} \theta_{\mathrm{TL}}^{2}+2 \theta_{\mathrm{T}} \theta_{\mathrm{L}} \neq 0mielke-geometrodynamics_FO1055
mielke-geometrodynamics_FO10562130.994K_{\alpha}^{\star}=-{ }^{*} T_{\alpha} / 2=-(-1)^{s}(\varepsilon / 2 \ell) \vartheta_{\alpha}mielke-geometrodynamics_FO1056
mielke-geometrodynamics_FO10572131.000\varepsilon=0mielke-geometrodynamics_FO1057
mielke-geometrodynamics_FO10582131.000\Lambda_{\text {eff }}mielke-geometrodynamics_FO1058
mielke-geometrodynamics_FO10592141.000Jmielke-geometrodynamics_FO1059
mielke-geometrodynamics_FO10602141.000J^{2} \leq M^{2}mielke-geometrodynamics_FO1060
mielke-geometrodynamics_FO10612141.000M=-1mielke-geometrodynamics_FO1061
mielke-geometrodynamics_FO10622141.000J=0mielke-geometrodynamics_FO1062
mielke-geometrodynamics_FO10632140.080\Gamma_{\alpha}^{\left\{{ }^{\}} \star\right.} \rightarrow \Gamma_{\alpha}^{\star}=\Gamma_{\alpha}^{\left\{{ }^{\{\star}\right.}-K_{\alpha}^{\star}mielke-geometrodynamics_FO1063
mielke-geometrodynamics_FO10642141.000\varepsilonmielke-geometrodynamics_FO1064
mielke-geometrodynamics_FO10652141.000\Gamma_{\alpha}^{\star}=\frac{1}{2} \eta_{\alpha \beta \gamma} \Gamma^{\beta \gamma}mielke-geometrodynamics_FO1065
mielke-geometrodynamics_FO10662141.000\widetilde{T}_{\alpha}=0mielke-geometrodynamics_FO1066
mielke-geometrodynamics_FO10672140.999\widetilde{\Gamma}_{\alpha}^{\star} \stackrel{*}{=} 0mielke-geometrodynamics_FO1067
mielke-geometrodynamics_FO10682141.000\widetilde{R}_{\alpha}^{\star}=0mielke-geometrodynamics_FO1068
mielke-geometrodynamics_FO10692151.0001 / \varepsilonmielke-geometrodynamics_FO1069
mielke-geometrodynamics_FO10702150.915\rho=(-1)^{\text {sign }} \varepsilon^{2} / 4mielke-geometrodynamics_FO1070
mielke-geometrodynamics_FO10712150.518R_{\alpha}^{\star}=(-1)^{\text {sign }} \varepsilon T_{\alpha} / 4 \ellmielke-geometrodynamics_FO1071
mielke-geometrodynamics_FO10722150.518\varepsilon \neq 0mielke-geometrodynamics_FO1072
mielke-geometrodynamics_FO10732161.000\varepsilon \rightarrow-\varepsilonmielke-geometrodynamics_FO1073
mielke-geometrodynamics_FO10742161.000\gamma=(1-\delta \varepsilon) \rightarrowmielke-geometrodynamics_FO1074
mielke-geometrodynamics_FO10752161.000\gamma \neq 0mielke-geometrodynamics_FO1075
mielke-geometrodynamics_FO10762161.000\varepsilon \rightarrow 0mielke-geometrodynamics_FO1076
mielke-geometrodynamics_FO10772161.000H_{\alpha}^{\star}=\gamma \vartheta_{\alpha} / \ellmielke-geometrodynamics_FO1077
mielke-geometrodynamics_FO10782161.000\varepsilon \rightarrow \inftymielke-geometrodynamics_FO1078
mielke-geometrodynamics_FO10792161.000H_{\alpha}=-\gamma \vartheta_{\alpha} / \delta \ell^{2}mielke-geometrodynamics_FO1079
mielke-geometrodynamics_FO10802161.000H_{\alpha}^{\star}=0mielke-geometrodynamics_FO1080
mielke-geometrodynamics_FO10812171.000\{H, d t, d \mathscr{A}, d h\}mielke-geometrodynamics_FO1081
mielke-geometrodynamics_FO10822171.000H=0mielke-geometrodynamics_FO1082
mielke-geometrodynamics_FO10832170.998H_{\alpha} \neq 0mielke-geometrodynamics_FO1083
mielke-geometrodynamics_FO10842171.000d \mathscr{A}mielke-geometrodynamics_FO1084
mielke-geometrodynamics_FO10852181.000d^{*} \vartheta_{\alpha}=0mielke-geometrodynamics_FO1085
mielke-geometrodynamics_FO10862181.000\eta_{\alpha}={ }^{*} \vartheta_{\alpha}mielke-geometrodynamics_FO1086
mielke-geometrodynamics_FO10872191.000m=\varepsilon / \ellmielke-geometrodynamics_FO1087
mielke-geometrodynamics_FO10882190.782\vartheta^{\alpha}=E_{i}{ }^{\alpha} d x^{i}mielke-geometrodynamics_FO1088
mielke-geometrodynamics_FO10892190.7823 \times 3=9mielke-geometrodynamics_FO1089
mielke-geometrodynamics_FO10902190.924S O(1,2)mielke-geometrodynamics_FO1090
mielke-geometrodynamics_FO10912190.924\vartheta^{\prime \alpha}=\Lambda_{\beta}{ }^{\alpha}(x) \vartheta^{\beta}mielke-geometrodynamics_FO1091
mielke-geometrodynamics_FO10922200.9922 / \theta_{\mathrm{L}}mielke-geometrodynamics_FO1092
mielke-geometrodynamics_FO10932201.000\theta_{\mathrm{T}} \theta_{\mathrm{L}} / 2 \chi=1mielke-geometrodynamics_FO1093
mielke-geometrodynamics_FO10942201.000\theta_{\mathrm{T}} \neq 0mielke-geometrodynamics_FO1094
mielke-geometrodynamics_FO10952211.000\varepsilon \neq \tilde{\varepsilon}mielke-geometrodynamics_FO1095
mielke-geometrodynamics_FO10962211.000\tilde{\theta}_{\mathrm{L}}mielke-geometrodynamics_FO1096
mielke-geometrodynamics_FO10972221.000C^{k l}=C^{l k}mielke-geometrodynamics_FO1097
mielke-geometrodynamics_FO10982220.940\Gamma^{\{\lambda \alpha \beta}mielke-geometrodynamics_FO1098
mielke-geometrodynamics_FO10992221.000T_{\alpha}=D \vartheta_{\alpha}=0mielke-geometrodynamics_FO1099
mielke-geometrodynamics_FO11002221.000H_{\alpha}=0mielke-geometrodynamics_FO1100
mielke-geometrodynamics_FO11012220.891D H_{\alpha}^{\star}=\delta \ell D H_{\alpha}+(\gamma / \ell) D \vartheta_{\alpha} \equiv 0mielke-geometrodynamics_FO1101
mielke-geometrodynamics_FO11022220.891D^{[4]} H_{[\alpha \beta]}mielke-geometrodynamics_FO1102
mielke-geometrodynamics_FO11032220.539G_{\alpha}=R_{\alpha}^{\left\{{ }^{\}} \star\right.}mielke-geometrodynamics_FO1103
mielke-geometrodynamics_FO11042220.990\widetilde{\Sigma}_{\alpha}:=\Sigma_{\alpha}-D^{\{ \}} \mu_{\alpha}mielke-geometrodynamics_FO1104
mielke-geometrodynamics_FO11052231.000E=p c_{\mathrm{F}}mielke-geometrodynamics_FO1105
mielke-geometrodynamics_FO11062231.000c_{\mathrm{F}}mielke-geometrodynamics_FO1106
mielke-geometrodynamics_FO11072230.825\mathrm{SO}(3)mielke-geometrodynamics_FO1107
mielke-geometrodynamics_FO11082240.902s=1mielke-geometrodynamics_FO1108
mielke-geometrodynamics_FO11092240.942S L(2, \mathbb{R})mielke-geometrodynamics_FO1109
mielke-geometrodynamics_FO11102240.942\mathfrak{s p}(2, \mathbb{R})mielke-geometrodynamics_FO1110
mielke-geometrodynamics_FO11112241.000\gamma_{\alpha} \gamma_{\beta}+\gamma_{\beta} \gamma_{\alpha}=2 g_{\alpha \beta}mielke-geometrodynamics_FO1111
mielke-geometrodynamics_FO11122241.000D \psi:=d \psi-\frac{1}{2} \gamma_{\alpha} \wedge \Gamma^{\star \alpha} \psimielke-geometrodynamics_FO1112
mielke-geometrodynamics_FO11132241.000L_{\mathrm{D}}mielke-geometrodynamics_FO1113
mielke-geometrodynamics_FO11142241.000\bar{\Psi}mielke-geometrodynamics_FO1114
mielke-geometrodynamics_FO11152241.000\hat{D}mielke-geometrodynamics_FO1115
mielke-geometrodynamics_FO11162250.999F:=d Amielke-geometrodynamics_FO1116
mielke-geometrodynamics_FO11172250.539d\left(A \wedge^{*} F\right) / 2mielke-geometrodynamics_FO1117
mielke-geometrodynamics_FO11182250.528\square:=d^{*} d^{*}-{ }^{*} d^{*} dmielke-geometrodynamics_FO1118
mielke-geometrodynamics_FO11192251.000\lambda=\hbar / c m_{\text {photon }}mielke-geometrodynamics_FO1119
mielke-geometrodynamics_FO11202260.987x^{\alpha}mielke-geometrodynamics_FO1120
mielke-geometrodynamics_FO11212260.987y^{\alpha}mielke-geometrodynamics_FO1121
mielke-geometrodynamics_FO11222260.987(x, y)mielke-geometrodynamics_FO1122
mielke-geometrodynamics_FO11232261.000n^{\alpha}mielke-geometrodynamics_FO1123
mielke-geometrodynamics_FO11242261.000n^{\alpha} n_{\alpha}=smielke-geometrodynamics_FO1124
mielke-geometrodynamics_FO11252261.000\tau_{\alpha}^{\star}mielke-geometrodynamics_FO1125
mielke-geometrodynamics_FO11262271.000Xmielke-geometrodynamics_FO1126
mielke-geometrodynamics_FO11272271.000Ymielke-geometrodynamics_FO1127
mielke-geometrodynamics_FO11282271.000\Sigma_{\hat{0}} \neq 0mielke-geometrodynamics_FO1128
mielke-geometrodynamics_FO11292271.000\tau_{\hat{1} \hat{2}}=mielke-geometrodynamics_FO1129
mielke-geometrodynamics_FO11302270.975-\tau_{\hat{2} \hat{1}} \neq 0mielke-geometrodynamics_FO1130
mielke-geometrodynamics_FO11312271.000x^{[\alpha} y^{\beta]} R_{\alpha \beta}=R_{\hat{1} \hat{2}}=-R_{\hat{2} \hat{1}} \neq 0mielke-geometrodynamics_FO1131
mielke-geometrodynamics_FO1132 [refined: census]2270.511N^{\alpha}=n\rfloor \vartheta^{\alpha}mielke-geometrodynamics_FO1132
mielke-geometrodynamics_FO11332281.000d(\mathscr{A} \wedge d \mathscr{A})mielke-geometrodynamics_FO1133
mielke-geometrodynamics_FO11342281.000d C_{\mathrm{T}}mielke-geometrodynamics_FO1134
mielke-geometrodynamics_FO11352281.000d^{*} \mathscr{A}mielke-geometrodynamics_FO1135
mielke-geometrodynamics_FO11362281.000\mathscr{N}=1mielke-geometrodynamics_FO1136
mielke-geometrodynamics_FO1137 [refined: census]2280.961\Psi_{\alpha}:=e_{\alpha}\rfloor \Psimielke-geometrodynamics_FO1137
mielke-geometrodynamics_FO11382281.000i, j, k, \ldots=0,1,2mielke-geometrodynamics_FO1138
mielke-geometrodynamics_FO11392281.000\alpha, \beta, \ldots=\hat{0}, \hat{1}, \hat{2}mielke-geometrodynamics_FO1139
mielke-geometrodynamics_FO11402281.000\bar{\Psi}:=\Psi^{\dagger} \gamma^{0}mielke-geometrodynamics_FO1140
mielke-geometrodynamics_FO11412281.000\Psi:=\Psi_{\alpha} \vartheta^{\alpha}mielke-geometrodynamics_FO1141
mielke-geometrodynamics_FO11422280.700\Psi=C \bar{\Psi}^{\mathrm{T}}mielke-geometrodynamics_FO1142
mielke-geometrodynamics_FO11432280.700C=-i \gamma_{0}mielke-geometrodynamics_FO1143
mielke-geometrodynamics_FO11442280.700C^{\dagger}=mielke-geometrodynamics_FO1144
mielke-geometrodynamics_FO11452281.000C^{-1}, \quad C^{\mathrm{T}}=-Cmielke-geometrodynamics_FO1145
mielke-geometrodynamics_FO11462281.000C^{-1} \gamma^{\alpha} C=-\left(\gamma^{\alpha}\right)^{\mathrm{T}}mielke-geometrodynamics_FO1146
mielke-geometrodynamics_FO11472281.000\gamma^{\alpha}mielke-geometrodynamics_FO1147
mielke-geometrodynamics_FO11482290.803L_{\mathrm{RS}}mielke-geometrodynamics_FO1148
mielke-geometrodynamics_FO11492300.995\vartheta^{\alpha}, \Gamma_{\alpha}^{\star}, \Psimielke-geometrodynamics_FO1149
mielke-geometrodynamics_FO11502301.000cmielke-geometrodynamics_FO1150
mielke-geometrodynamics_FO11512301.000\overline{c \gamma \sigma}=c \bar{\sigma} \gammamielke-geometrodynamics_FO1151
mielke-geometrodynamics_FO11522301.000\delta L / \delta \Gamma_{\alpha}^{\star} \cong 0mielke-geometrodynamics_FO1152
mielke-geometrodynamics_FO11532311.000c=-mmielke-geometrodynamics_FO1153
mielke-geometrodynamics_FO11542311.000\gamma \wedge D \Psimielke-geometrodynamics_FO1154
mielke-geometrodynamics_FO11552320.999L_{\infty}mielke-geometrodynamics_FO1155
mielke-geometrodynamics_FO11562321.000\mathscr{N}=2mielke-geometrodynamics_FO1156
mielke-geometrodynamics_FO11572330.988\mathrm{D}=3mielke-geometrodynamics_FO1157
mielke-geometrodynamics_FO11582330.666(2+1)mielke-geometrodynamics_FO1158
mielke-geometrodynamics_FO11592370.7721 / 2mielke-geometrodynamics_FO1159
mielke-geometrodynamics_FO11602370.772D^{\left(-\frac{1}{2}, \frac{3}{2}\right)} \otimes D^{\left(\frac{1}{2}, \frac{3}{2}\right)}\left(\widetilde{S O}_{\circ}(1,3)\right)mielke-geometrodynamics_FO1160
mielke-geometrodynamics_FO11612371.000S O_{\circ}(1,3)mielke-geometrodynamics_FO1161
mielke-geometrodynamics_FO11622370.983P_{\circ}:=\mathbb{R}^{4} \otimes S O_{\circ}(1,3)mielke-geometrodynamics_FO1162
mielke-geometrodynamics_FO11632371.000\psi_{\infty}:=\psi_{1 / 2} \otimes \psi_{5 / 2} \otimes \psi_{9 / 2} \otimes \ldotsmielke-geometrodynamics_FO1163
mielke-geometrodynamics_FO11642370.706\mathrm{SO}(s, n-s)mielke-geometrodynamics_FO1164
mielke-geometrodynamics_FO11652371.000s \neq 0mielke-geometrodynamics_FO1165
mielke-geometrodynamics_FO11662371.000S O_{\circ}(s, n-s)mielke-geometrodynamics_FO1166
mielke-geometrodynamics_FO11672370.929\widetilde{S O}_{\circ}(s, n-s)(=: \operatorname{Spin}(n)mielke-geometrodynamics_FO1167
mielke-geometrodynamics_FO11682370.929s=0)mielke-geometrodynamics_FO1168
mielke-geometrodynamics_FO11692381.000\Lambda: \tilde{\mathrm{G}} \rightarrow \mathrm{G}mielke-geometrodynamics_FO1169
mielke-geometrodynamics_FO11702381.000C(s, n-s)mielke-geometrodynamics_FO1170
mielke-geometrodynamics_FO11712381.000\gamma_{\alpha}mielke-geometrodynamics_FO1171
mielke-geometrodynamics_FO11722381.000N \times Nmielke-geometrodynamics_FO1172
mielke-geometrodynamics_FO11732381.000N=2^{[n / 2]}mielke-geometrodynamics_FO1173
mielke-geometrodynamics_FO11742381.000\mathbf{E}^{n}mielke-geometrodynamics_FO1174
mielke-geometrodynamics_FO11752380.963\mathrm{g} \in S O(s, n-s)mielke-geometrodynamics_FO1175
mielke-geometrodynamics_FO11762380.9832^{N}mielke-geometrodynamics_FO1176
mielke-geometrodynamics_FO11772390.976\widetilde{S O}_{\circ}(1,3) \approx S L(2, \mathbb{C})mielke-geometrodynamics_FO1177
mielke-geometrodynamics_FO11782391.000\widetilde{S O}_{\circ}(s, n-s)mielke-geometrodynamics_FO1178
mielke-geometrodynamics_FO11792390.588\mathrm{P}_{0}:=\mathbb{R}^{\mathrm{n}} \otimes \widetilde{S O}mielke-geometrodynamics_FO1179
mielke-geometrodynamics_FO11802391.000(s, n-s)mielke-geometrodynamics_FO1180
mielke-geometrodynamics_FO11812391.000L^{\mathrm{g}}(M)mielke-geometrodynamics_FO1181
mielke-geometrodynamics_FO11822390.974L_{\circ}^{g}(M)mielke-geometrodynamics_FO1182
mielke-geometrodynamics_FO11832390.998\mathrm{f}: \tilde{L}(M) \rightarrow L_{\circ}^{g}(M)mielke-geometrodynamics_FO1183
mielke-geometrodynamics_FO11842390.950L_{o}^{g}(M)mielke-geometrodynamics_FO1184
mielke-geometrodynamics_FO11852390.949\tilde{L}^{\prime}(M), f^{\prime}mielke-geometrodynamics_FO1185
mielke-geometrodynamics_FO11862391.000f^{\prime}mielke-geometrodynamics_FO1186
mielke-geometrodynamics_FO11872391.000\mathrm{w}_{2} \in \mathrm{H}^{2}\left(M, \mathbb{Z}_{2}\right)mielke-geometrodynamics_FO1187
mielke-geometrodynamics_FO11882391.000\mathrm{g}^{\text {th }}mielke-geometrodynamics_FO1188
mielke-geometrodynamics_FO11892401.000\mathrm{H}^{\mathrm{g}}\left(M, \mathbb{Z}_{2}\right)mielke-geometrodynamics_FO1189
mielke-geometrodynamics_FO11902401.000\tilde{s}=\operatorname{dim} \mathrm{H}^{1}\left(M, \mathbb{Z}_{2}\right)mielke-geometrodynamics_FO1190
mielke-geometrodynamics_FO11912400.813\tilde{s}=2^{v}mielke-geometrodynamics_FO1191
mielke-geometrodynamics_FO11922400.997\numielke-geometrodynamics_FO1192
mielke-geometrodynamics_FO11932400.997W^{3}:=mielke-geometrodynamics_FO1193
mielke-geometrodynamics_FO11942400.999\mathrm{w}_{1}=0mielke-geometrodynamics_FO1194
mielke-geometrodynamics_FO11952400.993\mathrm{H}^{\circ}\left(M, \mathbb{Z}_{2}\right)mielke-geometrodynamics_FO1195
mielke-geometrodynamics_FO11962401.000S^{7}mielke-geometrodynamics_FO1196
mielke-geometrodynamics_FO11972400.998(1968,1970)mielke-geometrodynamics_FO1197
mielke-geometrodynamics_FO11982400.969T(M)mielke-geometrodynamics_FO1198
mielke-geometrodynamics_FO11992400.925S U(3)mielke-geometrodynamics_FO1199
mielke-geometrodynamics_FO12002411.000\tilde{\mathrm{L}}(\mathrm{M})mielke-geometrodynamics_FO1200
mielke-geometrodynamics_FO12012410.614D^{\mathrm{F}}mielke-geometrodynamics_FO1201
mielke-geometrodynamics_FO12022410.614\widetilde{S O}_{\circ}mielke-geometrodynamics_FO1202
mielke-geometrodynamics_FO12032410.986\widetilde{S O}_{\circ}(1,3)mielke-geometrodynamics_FO1203
mielke-geometrodynamics_FO12042410.996S L(2, \mathbb{C}) \approx \widetilde{S O}_{\circ}(1,3)mielke-geometrodynamics_FO1204
mielke-geometrodynamics_FO12052411.000\left(-\frac{1}{2}, \frac{3}{2}\right) \oplus\left(\frac{1}{2}, \frac{3}{2}\right)mielke-geometrodynamics_FO1205
mielke-geometrodynamics_FO12062410.999\frac{1}{2}mielke-geometrodynamics_FO1206
mielke-geometrodynamics_FO12072411.000\tilde{O}(1,3)mielke-geometrodynamics_FO1207
mielke-geometrodynamics_FO12082411.000\tilde{b}_{(1)}, i=1, \ldots, Nmielke-geometrodynamics_FO1208
mielke-geometrodynamics_FO12092420.999\mathscr{G}_{S}mielke-geometrodynamics_FO1209
mielke-geometrodynamics_FO12102420.999\mathscr{G}_{p}mielke-geometrodynamics_FO1210
mielke-geometrodynamics_FO12112421.000\tilde{L}(M)mielke-geometrodynamics_FO1211
mielke-geometrodynamics_FO12122421.000\gamma^{\mathrm{n}+1}mielke-geometrodynamics_FO1212
mielke-geometrodynamics_FO12132431.000\gamma^{n+1}mielke-geometrodynamics_FO1213
mielke-geometrodynamics_FO12142430.999\tilde{\omega}mielke-geometrodynamics_FO1214
mielke-geometrodynamics_FO12152430.790\Gamma_{i}{ }^{\alpha \beta}mielke-geometrodynamics_FO1215
mielke-geometrodynamics_FO12162430.958\Gamma_{i j}{ }^{\cdot k}mielke-geometrodynamics_FO1216
mielke-geometrodynamics_FO12172440.995\mathbb{R}^{n} \otimes S Omielke-geometrodynamics_FO1217
mielke-geometrodynamics_FO12182440.996\mathrm{e}_{\alpha}^{-i}(m)mielke-geometrodynamics_FO1218
mielke-geometrodynamics_FO12192451.000\mathcal{D}(\mathrm{M})mielke-geometrodynamics_FO1219
mielke-geometrodynamics_FO12202451.000\delta L_{\mathrm{D}} / \delta \bar{\psi}mielke-geometrodynamics_FO1220
mielke-geometrodynamics_FO12212451.000\delta L_{\mathrm{D}} / \delta \psimielke-geometrodynamics_FO1221
mielke-geometrodynamics_FO12222461.000\mathrm{D} \gamma=0mielke-geometrodynamics_FO1222
mielke-geometrodynamics_FO12232461.000\tau:=\delta \mathrm{L} / \delta \omegamielke-geometrodynamics_FO1223
mielke-geometrodynamics_FO12242461.000\tau=i \bar{\psi} \gamma \psimielke-geometrodynamics_FO1224
mielke-geometrodynamics_FO12252460.992\tau_{s}mielke-geometrodynamics_FO1225
mielke-geometrodynamics_FO12262460.999j_{n+1}:=i \bar{\psi}^{*} \gamma \gamma^{n+1} \psimielke-geometrodynamics_FO1226
mielke-geometrodynamics_FO12272471.000\mathrm{H}^{\mathrm{n}-1}mielke-geometrodynamics_FO1227
mielke-geometrodynamics_FO12282471.000\tau_{s}^{0}mielke-geometrodynamics_FO1228
mielke-geometrodynamics_FO12292470.999\tilde{\omega}^{\{ \}}mielke-geometrodynamics_FO1229
mielke-geometrodynamics_FO12302470.826\mathrm{D}^{\{ \}}mielke-geometrodynamics_FO1230
mielke-geometrodynamics_FO12312470.993\Theta=[K, \vartheta]mielke-geometrodynamics_FO1231
mielke-geometrodynamics_FO12322481.000[\Theta, \vartheta]mielke-geometrodynamics_FO1232
mielke-geometrodynamics_FO12332481.000\delta L_{D} / \delta \bar{\psi}mielke-geometrodynamics_FO1233
mielke-geometrodynamics_FO12342491.000D=\vartheta^{\alpha} \nabla_{\alpha}mielke-geometrodynamics_FO1234
mielke-geometrodynamics_FO12352491.000(1938,1957)mielke-geometrodynamics_FO1235
mielke-geometrodynamics_FO12362491.000P Cmielke-geometrodynamics_FO1236
mielke-geometrodynamics_FO12372490.520\psi:=\binom{\psi_{p}}{\psi_{N}}mielke-geometrodynamics_FO1237
mielke-geometrodynamics_FO12382491.000S L(2, \mathbb{C})mielke-geometrodynamics_FO1238
mielke-geometrodynamics_FO12392491.000\overline{\mathrm{G}}=S L(2 \mathrm{f}, \mathbb{C})mielke-geometrodynamics_FO1239
mielke-geometrodynamics_FO12402490.994\overline{\mathrm{G}}mielke-geometrodynamics_FO1240
mielke-geometrodynamics_FO12412511.0001 / r^{2}mielke-geometrodynamics_FO1241
mielke-geometrodynamics_FO12422511.000r:=|\overrightarrow{\mathbf{x}}|mielke-geometrodynamics_FO1242
mielke-geometrodynamics_FO12432511.000(1934,1935)mielke-geometrodynamics_FO1243
mielke-geometrodynamics_FO12442520.979n=4mielke-geometrodynamics_FO1244
mielke-geometrodynamics_FO12452521.000\varepsilon= \pm 1, \ellmielke-geometrodynamics_FO1245
mielke-geometrodynamics_FO12462530.999v=v(\rho)mielke-geometrodynamics_FO1246
mielke-geometrodynamics_FO12472530.999\mu=\mu(\rho)mielke-geometrodynamics_FO1247
mielke-geometrodynamics_FO12482531.000\mathrm{r}:=|\overrightarrow{\mathbf{x}}|, \varthetamielke-geometrodynamics_FO1248
mielke-geometrodynamics_FO12492531.000\overrightarrow{\mathbf{x}}mielke-geometrodynamics_FO1249
mielke-geometrodynamics_FO12502531.000g_{k l}mielke-geometrodynamics_FO1250
mielke-geometrodynamics_FO12512530.919\Gamma_{\kappa}^{\{f \cdot \alpha \beta}mielke-geometrodynamics_FO1251
mielke-geometrodynamics_FO12522540.742\mathrm{R}_{\circ}mielke-geometrodynamics_FO1252
mielke-geometrodynamics_FO12532540.990\lambda, \mathbf{y}mielke-geometrodynamics_FO1253
mielke-geometrodynamics_FO12542540.984S O_{\circ}(1,4)mielke-geometrodynamics_FO1254
mielke-geometrodynamics_FO12552541.000\bar{\Gamma}_{k}mielke-geometrodynamics_FO1255
mielke-geometrodynamics_FO12562541.000i \vec{\gamma} \cdot \vec{\partial}mielke-geometrodynamics_FO1256
mielke-geometrodynamics_FO12572550.999\exp (-\mu / 2-\nu / 4)mielke-geometrodynamics_FO1257
mielke-geometrodynamics_FO12582550.643\chi_{k}^{m}mielke-geometrodynamics_FO1258
mielke-geometrodynamics_FO12592551.000\mathrm{P}=(-1)^{l}mielke-geometrodynamics_FO1259
mielke-geometrodynamics_FO12602551.000lmielke-geometrodynamics_FO1260
mielke-geometrodynamics_FO12612551.000\mathrm{C}\left(l \frac{1}{2} \mathrm{j} ; \mathrm{m}-\overline{\mathrm{m}}, \overline{\mathrm{m}}\right)mielke-geometrodynamics_FO1261
mielke-geometrodynamics_FO12622550.996\mathrm{Y}_{l}^{m}(\vartheta, \phi)mielke-geometrodynamics_FO1262
mielke-geometrodynamics_FO12632550.996\vec{J}mielke-geometrodynamics_FO1263
mielke-geometrodynamics_FO12642551.000\vec{L}mielke-geometrodynamics_FO1264
mielke-geometrodynamics_FO12652561.000|\kappa|=1mielke-geometrodynamics_FO1265
mielke-geometrodynamics_FO12662561.000j=\frac{1}{2}, l=0,1mielke-geometrodynamics_FO1266
mielke-geometrodynamics_FO12672561.000\mathrm{m}= \pm \frac{1}{2}mielke-geometrodynamics_FO1267
mielke-geometrodynamics_FO12682561.000\int L_{\mathrm{D}^{\prime}}mielke-geometrodynamics_FO1268
mielke-geometrodynamics_FO12692561.000\rho^{*}mielke-geometrodynamics_FO1269
mielke-geometrodynamics_FO12702571.000M^{*}mielke-geometrodynamics_FO1270
mielke-geometrodynamics_FO12712570.999j=\frac{1}{2}mielke-geometrodynamics_FO1271
mielke-geometrodynamics_FO12722570.999\kappa=-1mielke-geometrodynamics_FO1272
mielke-geometrodynamics_FO12732571.000H(\rho)mielke-geometrodynamics_FO1273
mielke-geometrodynamics_FO12742571.000l=0mielke-geometrodynamics_FO1274
mielke-geometrodynamics_FO12752571.000l=1mielke-geometrodynamics_FO1275
mielke-geometrodynamics_FO12762571.000F(\rho)mielke-geometrodynamics_FO1276
mielke-geometrodynamics_FO12772580.943|\varphi|^{6}mielke-geometrodynamics_FO1277
mielke-geometrodynamics_FO12782581.000\mathrm{Y}_{l}^{\mathrm{m}}(\vartheta, \phi)mielke-geometrodynamics_FO1278
mielke-geometrodynamics_FO12792590.726|\omega|<1mielke-geometrodynamics_FO1279
mielke-geometrodynamics_FO12802591.000|\omega|>1mielke-geometrodynamics_FO1280
mielke-geometrodynamics_FO12812591.000|\psi| \sim e^{-m_{\pi} r}mielke-geometrodynamics_FO1281
mielke-geometrodynamics_FO12822591.000\mathrm{m}_{\mathrm{s}}mielke-geometrodynamics_FO1282
mielke-geometrodynamics_FO12832591.000\Sigma_{\mathrm{D}}mielke-geometrodynamics_FO1283
mielke-geometrodynamics_FO12842591.000m_{s}mielke-geometrodynamics_FO1284
mielke-geometrodynamics_FO12852600.979(1951,1956)mielke-geometrodynamics_FO1285
mielke-geometrodynamics_FO12862600.356a=0mielke-geometrodynamics_FO1286
mielke-geometrodynamics_FO12872600.988a=1mielke-geometrodynamics_FO1287
mielke-geometrodynamics_FO12882601.000\varepsilon=+1mielke-geometrodynamics_FO1288
mielke-geometrodynamics_FO12892601.000S_{1 / 2}mielke-geometrodynamics_FO1289
mielke-geometrodynamics_FO12902601.000Q=emielke-geometrodynamics_FO1290
mielke-geometrodynamics_FO12912631.000D_{\mathrm{F}}(x)mielke-geometrodynamics_FO1291
mielke-geometrodynamics_FO12922631.000(1957,1958)mielke-geometrodynamics_FO1292
mielke-geometrodynamics_FO12932631.000\ell^{*}=8.1 \times 10^{-33} \mathrm{~cm}mielke-geometrodynamics_FO1293
mielke-geometrodynamics_FO12942631.000\ell=10^{-13}mielke-geometrodynamics_FO1294
mielke-geometrodynamics_FO12952631.000\ell=10^{-13} \mathrm{~cm}mielke-geometrodynamics_FO1295
mielke-geometrodynamics_FO12962691.000\langle d j\rangle=0mielke-geometrodynamics_FO1296
mielke-geometrodynamics_FO12972691.000\left\langle d j_{5}\right\rangle \neq 0mielke-geometrodynamics_FO1297
mielke-geometrodynamics_FO12982690.999j_{5}(x ; \varepsilon):=\bar{\psi}(x) \gamma_{5}{ }^{*} \gamma \psi(x+\varepsilon)mielke-geometrodynamics_FO1298
mielke-geometrodynamics_FO12992691.000\delta / \delta Amielke-geometrodynamics_FO1299
mielke-geometrodynamics_FO13002691.000j_{5}(x ; \varepsilon)mielke-geometrodynamics_FO1300
mielke-geometrodynamics_FO13012690.999x^{i} \rightarrow x^{i}+\varepsilon^{i}mielke-geometrodynamics_FO1301
mielke-geometrodynamics_FO13022701.000P=\bar{\psi} \gamma_{5} \psimielke-geometrodynamics_FO1302
mielke-geometrodynamics_FO13032701.000C:=A \wedge d Amielke-geometrodynamics_FO1303
mielke-geometrodynamics_FO13042700.760\mathbf{A} \cdot \mathbf{B}mielke-geometrodynamics_FO1304
mielke-geometrodynamics_FO13052701.000\mathscr{D}:=D+i A \wedgemielke-geometrodynamics_FO1305
mielke-geometrodynamics_FO13062701.000D \psi:=d \psi+\Gamma \wedgemielke-geometrodynamics_FO1306
mielke-geometrodynamics_FO13072700.566\Gamma^{\alpha \beta}=\Gamma_{i}{ }^{\alpha \beta} d x^{i}mielke-geometrodynamics_FO1307
mielke-geometrodynamics_FO13082701.000\Theta:=D \gammamielke-geometrodynamics_FO1308
mielke-geometrodynamics_FO1309 [refined: census]2710.652T:=\frac{1}{4} \operatorname{Tr}\left(\check{\gamma}\rfloor \Theta\right)=e_{\alpha}\rfloor T^{\alpha}mielke-geometrodynamics_FO1309
mielke-geometrodynamics_FO13102711.000K=\frac{i}{4} K^{\alpha \beta} \sigma_{\alpha \beta}mielke-geometrodynamics_FO1310
mielke-geometrodynamics_FO13112711.000D \gamma=[\gamma, K]=\gamma_{\alpha} T^{\alpha}mielke-geometrodynamics_FO1311
mielke-geometrodynamics_FO13122710.509D^{(t)} \gamma=0mielke-geometrodynamics_FO1312
mielke-geometrodynamics_FO13132711.000\gamma \rightarrow \gamma^{\beta}=mielke-geometrodynamics_FO1313
mielke-geometrodynamics_FO13142711.000e^{i \gamma^{5} \beta} \gamma e^{-i \gamma^{5} \beta}mielke-geometrodynamics_FO1314
mielke-geometrodynamics_FO13152711.000P: \vartheta^{B} \rightarrow-\vartheta^{B}mielke-geometrodynamics_FO1315
mielke-geometrodynamics_FO13162711.000B=mielke-geometrodynamics_FO1316
mielke-geometrodynamics_FO13172710.9921,2,3mielke-geometrodynamics_FO1317
mielke-geometrodynamics_FO13182711.000d j \simeq 0mielke-geometrodynamics_FO1318
mielke-geometrodynamics_FO13192711.000m \rightarrow 0mielke-geometrodynamics_FO1319
mielke-geometrodynamics_FO13202721.000d j_{5}=0mielke-geometrodynamics_FO1320
mielke-geometrodynamics_FO13212721.000\mathscr{A}=2 d \thetamielke-geometrodynamics_FO1321
mielke-geometrodynamics_FO13222721.000a=\theta f_{a}mielke-geometrodynamics_FO1322
mielke-geometrodynamics_FO13232720.972U(1)_{\mathrm{PQ}}mielke-geometrodynamics_FO1323
mielke-geometrodynamics_FO13242731.000\eta^{\alpha \beta}:={ }^{*}\left(\vartheta^{\alpha} \wedge \vartheta^{\beta}\right)mielke-geometrodynamics_FO1324
mielke-geometrodynamics_FO13252731.000\left\langle d j_{5}\right\ranglemielke-geometrodynamics_FO1325
mielke-geometrodynamics_FO13262730.999d C_{\mathrm{TT}} \cong(1 / 4) d j_{5} \rightarrow 0mielke-geometrodynamics_FO1326
mielke-geometrodynamics_FO13272730.997{ }^{*} j_{5}mielke-geometrodynamics_FO1327
mielke-geometrodynamics_FO13282731.000n=4 k+2mielke-geometrodynamics_FO1328
mielke-geometrodynamics_FO13292740.999d^{*} \mathscr{A} \sim d C_{\mathrm{TT}}mielke-geometrodynamics_FO1329
mielke-geometrodynamics_FO13302741.000d \mathscr{A} \wedge d \mathscr{A}=-2 \mathscr{E} \cdot \mathscr{B} \etamielke-geometrodynamics_FO1330
mielke-geometrodynamics_FO13312741.000F \wedge F=d A \wedge d Amielke-geometrodynamics_FO1331
mielke-geometrodynamics_FO13322740.835d^{*} \mathscr{A} \wedge{ }^{*}\left(d^{*} \mathscr{A}\right)=4 \ell^{4} V_{\mathrm{NY}} \wedge{ }^{*} V_{\mathrm{NY}}mielke-geometrodynamics_FO1332
mielke-geometrodynamics_FO13332740.984d^{*} \mathscr{A}=2 \ell^{2} d C_{\mathrm{TT}}=2 \ell^{2} V_{\mathrm{NY}}mielke-geometrodynamics_FO1333
mielke-geometrodynamics_FO13342741.000Zmielke-geometrodynamics_FO1334
mielke-geometrodynamics_FO13352740.588\Psi=\Psi_{i} d x^{i}mielke-geometrodynamics_FO1335
mielke-geometrodynamics_FO13362750.999J_{5}:=i \bar{\Psi} \wedge \gamma \wedge \Psimielke-geometrodynamics_FO1336
mielke-geometrodynamics_FO13372751.000t \rightarrow+0mielke-geometrodynamics_FO1337
mielke-geometrodynamics_FO13382750.988\mathbb{A}:=mielke-geometrodynamics_FO1338
mielke-geometrodynamics_FO13392750.794\check{\gamma}\rfloor A=\gamma^{\alpha} e_{\alpha} \downharpoonleft A=(-1)^{s+1}{ }^{*}\left[{ }^{*} \gamma \wedge A\right]mielke-geometrodynamics_FO1339
mielke-geometrodynamics_FO13402750.996\square:=mielke-geometrodynamics_FO1340
mielke-geometrodynamics_FO13412750.980\partial_{i}\left(\sqrt{|g| g^{i j}} \partial_{j}\right) / \sqrt{|g|}mielke-geometrodynamics_FO1341
mielke-geometrodynamics_FO13422750.998K_{k}\left(x, \not D^{2}\right)mielke-geometrodynamics_FO1342
mielke-geometrodynamics_FO13432750.952\not D^{2}mielke-geometrodynamics_FO1343
mielke-geometrodynamics_FO13442750.952\mathrm{o}_{\alpha \beta}=mielke-geometrodynamics_FO1344
mielke-geometrodynamics_FO13452760.950(-1, \ldots,-1)mielke-geometrodynamics_FO1345
mielke-geometrodynamics_FO13462760.950k=1,3, \ldotsmielke-geometrodynamics_FO1346
mielke-geometrodynamics_FO13472760.483d \mathscr{K}=d^{*} \stackrel{\smile}{D} \wedge^{*} \breve{D}^{*} \mathscr{A}mielke-geometrodynamics_FO1347
mielke-geometrodynamics_FO13482760.507D=D^{\{ \}}+i \mathscr{A} \gamma_{5} / 4mielke-geometrodynamics_FO1348
mielke-geometrodynamics_FO13492761.000K_{2}mielke-geometrodynamics_FO1349
mielke-geometrodynamics_FO13502761.000K_{4}mielke-geometrodynamics_FO1350
mielke-geometrodynamics_FO13512761.000k=4mielke-geometrodynamics_FO1351
mielke-geometrodynamics_FO13522761.000t^{(k-4) / 2}=1mielke-geometrodynamics_FO1352
mielke-geometrodynamics_FO13532761.000K_{2} \simmielke-geometrodynamics_FO1353
mielke-geometrodynamics_FO13542760.960d^{*} \mathscr{A}=2 \ell^{2} d C_{\mathrm{TT}}mielke-geometrodynamics_FO1354
mielke-geometrodynamics_FO13552760.986[\text { length }]^{-3 / 2}mielke-geometrodynamics_FO1355
mielke-geometrodynamics_FO13562760.986\psi \sim m^{3 / 2}mielke-geometrodynamics_FO1356
mielke-geometrodynamics_FO13572760.986t=1 / M^{2}mielke-geometrodynamics_FO1357
mielke-geometrodynamics_FO13582761.000M \rightarrow \inftymielke-geometrodynamics_FO1358
mielke-geometrodynamics_FO13592761.000m \neq 0mielke-geometrodynamics_FO1359
mielke-geometrodynamics_FO13602761.000\vartheta^{\alpha} \rightarrow \widetilde{\vartheta}^{\alpha}=M \vartheta^{\alpha}mielke-geometrodynamics_FO1360
mielke-geometrodynamics_FO13612761.000[\hbar]mielke-geometrodynamics_FO1361
mielke-geometrodynamics_FO13622761.000(n=2)mielke-geometrodynamics_FO1362
mielke-geometrodynamics_FO13632761.000\sigma_{\alpha}:=\Sigma_{\alpha}-D \mu_{\alpha}mielke-geometrodynamics_FO1363
mielke-geometrodynamics_FO13642770.996\stackrel{( \pm)}{\Gamma}mielke-geometrodynamics_FO1364
mielke-geometrodynamics_FO13652770.839d C_{\mathrm{RR}}^{\{ \}}mielke-geometrodynamics_FO1365
mielke-geometrodynamics_FO13662771.000\Lambda \neq 0mielke-geometrodynamics_FO1366
mielke-geometrodynamics_FO13672770.570\underline{C}_{\mathrm{RR}}^{\{ \}}mielke-geometrodynamics_FO1367
mielke-geometrodynamics_FO13682770.936\stackrel{( \pm)}{\underline{\Gamma}}mielke-geometrodynamics_FO1368
mielke-geometrodynamics_FO13692771.000\mathscr{C}:=\Gamma / \mathscr{G}mielke-geometrodynamics_FO1369
mielke-geometrodynamics_FO13702780.423\mathrm{Ł}_{n}:=n \downarrow D+D nmielke-geometrodynamics_FO1370
mielke-geometrodynamics_FO13712780.523\tau^{A}mielke-geometrodynamics_FO1371
mielke-geometrodynamics_FO13722781.000\tau^{A}:=(1 / 2) \eta^{0 A \beta \gamma} \tau_{\beta \gamma}mielke-geometrodynamics_FO1372
mielke-geometrodynamics_FO13732781.000\gamma_{\alpha} \gamma_{\beta}+\gamma_{\beta} \gamma_{\alpha}=2 \mathrm{o}_{\alpha \beta}mielke-geometrodynamics_FO1373
mielke-geometrodynamics_FO13742781.000\eta^{\alpha}:=mielke-geometrodynamics_FO1374
mielke-geometrodynamics_FO13752780.996{ }^{*} \vartheta^{\alpha}mielke-geometrodynamics_FO1375
mielke-geometrodynamics_FO13762780.500\Gamma:=\frac{i}{4} \Gamma_{i}^{\alpha \beta} \sigma_{\alpha \beta} d x^{i}mielke-geometrodynamics_FO1376
mielke-geometrodynamics_FO13772781.000D=d+\Gamma \wedgemielke-geometrodynamics_FO1377
mielke-geometrodynamics_FO13782781.000\sigma_{\alpha \beta}=\frac{i}{2}\left(\gamma_{\alpha} \gamma_{\beta}-\gamma_{\beta} \gamma_{\alpha}\right)mielke-geometrodynamics_FO1378
mielke-geometrodynamics_FO13792781.000\sigma:=\frac{i}{2} \gamma \wedge \gamma=\frac{1}{2} \sigma_{\alpha \beta} \vartheta^{\alpha} \wedge \vartheta^{\beta}mielke-geometrodynamics_FO1379
mielke-geometrodynamics_FO13802791.000R:={ }^{*}\left(R^{\alpha \beta} \wedge \eta_{\beta \alpha}\right)mielke-geometrodynamics_FO1380
mielke-geometrodynamics_FO13812791.000\mathfrak{s l}(5, \mathbb{R})mielke-geometrodynamics_FO1381
mielke-geometrodynamics_FO13822791.000\hat{\Gamma}=\Gamma+\left(\vartheta^{\alpha} L^{4}{ }_{\alpha}+\vartheta_{\beta} L^{\beta}{ }_{4}\right) / \ellmielke-geometrodynamics_FO1382
mielke-geometrodynamics_FO13832790.763\hat{C}_{\mathrm{RR}}mielke-geometrodynamics_FO1383
mielke-geometrodynamics_FO13842801.000\pi^{0} \rightarrow 2 \gammamielke-geometrodynamics_FO1384
mielke-geometrodynamics_FO13852820.775\mathbb{R}^{4} \otimes \mathrm{SO}(1,3)mielke-geometrodynamics_FO1385
mielke-geometrodynamics_FO13862831.000d B=0mielke-geometrodynamics_FO1386
mielke-geometrodynamics_FO13872840.999\sigma=\sigma_{i} d x^{i}mielke-geometrodynamics_FO1387
mielke-geometrodynamics_FO13882840.672\mathrm{SL}(5, \mathbb{R})mielke-geometrodynamics_FO1388
mielke-geometrodynamics_FO13892841.000\operatorname{SL}(n+1, \mathbb{R})mielke-geometrodynamics_FO1389
mielke-geometrodynamics_FO13902841.000\operatorname{det} g=1mielke-geometrodynamics_FO1390
mielke-geometrodynamics_FO13912841.000n(n+2)mielke-geometrodynamics_FO1391
mielke-geometrodynamics_FO13922841.000\mathfrak{g l}(n, \mathbb{R})mielke-geometrodynamics_FO1392
mielke-geometrodynamics_FO13932841.000\alpha, \ldots, \delta=0, \ldots, n-1mielke-geometrodynamics_FO1393
mielke-geometrodynamics_FO13942840.367\ell P_{\alpha}:=Ł^{n+1}{ }_{\alpha}=L^{n+1}{ }_{\alpha}mielke-geometrodynamics_FO1394
mielke-geometrodynamics_FO13952840.367\ell P_{*}^{\beta}:=\swarrow^{\beta}{ }_{n+1}=L^{\beta}{ }_{n+1}mielke-geometrodynamics_FO1395
mielke-geometrodynamics_FO13962850.998P_{*}^{\alpha}mielke-geometrodynamics_FO1396
mielke-geometrodynamics_FO13972850.998P_{\beta}mielke-geometrodynamics_FO1397
mielke-geometrodynamics_FO13982850.998\operatorname{GL}(n, \mathbb{R})mielke-geometrodynamics_FO1398
mielke-geometrodynamics_FO13992850.996\mathrm{A}_{*}(n, \mathbb{R})mielke-geometrodynamics_FO1399
mielke-geometrodynamics_FO14002850.998\mathrm{SO}(n+1)mielke-geometrodynamics_FO1400
mielke-geometrodynamics_FO14012851.000\hat{g}_{A B}mielke-geometrodynamics_FO1401
mielke-geometrodynamics_FO14022850.998n(n+1) / 2mielke-geometrodynamics_FO1402
mielke-geometrodynamics_FO14032850.999A(x) \in \mathrm{A}_{*}(n, R)mielke-geometrodynamics_FO1403
mielke-geometrodynamics_FO14042850.999\Lambda(x) \in \mathrm{GL}(n, \mathbb{R})mielke-geometrodynamics_FO1404
mielke-geometrodynamics_FO14052851.000\tau(x):=\exp \left[\xi^{\alpha} P_{\alpha}\right] \in \mathscr{T}(n, R)mielke-geometrodynamics_FO1405
mielke-geometrodynamics_FO14062851.000\tau_{*}(x):=\exp \left[\xi_{\beta}^{*} P_{*}^{\beta}\right] \in \mathscr{T}_{*}(n, R)mielke-geometrodynamics_FO1406
mielke-geometrodynamics_FO14072861.000\ell \rightarrow \inftymielke-geometrodynamics_FO1407
mielke-geometrodynamics_FO14082861.000\operatorname{Ad} A(B)=[A, B]mielke-geometrodynamics_FO1408
mielke-geometrodynamics_FO14092861.000\hat{\Gamma}mielke-geometrodynamics_FO1409
mielke-geometrodynamics_FO14102861.000\Gamma^{(L)}mielke-geometrodynamics_FO1410
mielke-geometrodynamics_FO14112860.990\mathrm{GL}(n, \mathbb{R})mielke-geometrodynamics_FO1411
mielke-geometrodynamics_FO14122870.998D \tau(x):=d \tau(x)+\Gamma^{(L)} \tau(x)mielke-geometrodynamics_FO1412
mielke-geometrodynamics_FO14132870.998\Gamma^{(T)}mielke-geometrodynamics_FO1413
mielke-geometrodynamics_FO14142870.998\Gamma_{*}^{(T)}mielke-geometrodynamics_FO1414
mielke-geometrodynamics_FO14152871.000\xi=\xi^{\alpha} P_{\alpha}mielke-geometrodynamics_FO1415
mielke-geometrodynamics_FO14162871.000\xi_{*}=\xi_{\beta}^{*} P_{*}^{\beta}mielke-geometrodynamics_FO1416
mielke-geometrodynamics_FO14172871.000\mathscr{T}(n, R) \otimes \mathscr{T}_{*}(n, R)mielke-geometrodynamics_FO1417
mielke-geometrodynamics_FO14182871.000\xi=\xi^{*}=0mielke-geometrodynamics_FO1418
mielke-geometrodynamics_FO14192871.000\theta_{\alpha}=g_{\alpha \beta} \vartheta^{\beta}mielke-geometrodynamics_FO1419
mielke-geometrodynamics_FO14202871.000D \xi^{\alpha} \stackrel{*}{=} \vartheta^{\alpha}mielke-geometrodynamics_FO1420
mielke-geometrodynamics_FO14212871.000\xi^{\alpha}mielke-geometrodynamics_FO1421
mielke-geometrodynamics_FO14222880.5931 /[mielke-geometrodynamics_FO1422
mielke-geometrodynamics_FO14232880.593]mielke-geometrodynamics_FO1423
mielke-geometrodynamics_FO14242880.593P_{*}^{\beta}mielke-geometrodynamics_FO1424
mielke-geometrodynamics_FO14252880.647\vartheta^{\alpha}=\ell \Gamma_{\hat{4}}^{\alpha}mielke-geometrodynamics_FO1425
mielke-geometrodynamics_FO14262880.647\theta_{\beta}=\ell \Gamma_{\beta}{ }^{\hat{4}}mielke-geometrodynamics_FO1426
mielke-geometrodynamics_FO14272881.000\Lambda=3 / \ell^{2}mielke-geometrodynamics_FO1427
mielke-geometrodynamics_FO14282890.998d \hat{C}mielke-geometrodynamics_FO1428
mielke-geometrodynamics_FO14292890.998\Gamma_{A}{ }^{B}mielke-geometrodynamics_FO1429
mielke-geometrodynamics_FO14302891.000\hat{B}mielke-geometrodynamics_FO1430
mielke-geometrodynamics_FO14312891.000\hat{R}=0mielke-geometrodynamics_FO1431
mielke-geometrodynamics_FO14322890.994\eta_{A B C D E}:=\sqrt{\hat{g}} \varepsilon_{A B C D E}mielke-geometrodynamics_FO1432
mielke-geometrodynamics_FO14332891.000\varepsilon_{A B C D E}mielke-geometrodynamics_FO1433
mielke-geometrodynamics_FO14342890.913\hat{g}mielke-geometrodynamics_FO1434
mielke-geometrodynamics_FO14352891.000B^{A B}:=\hat{g}^{A C} B_{C}{ }^{B}mielke-geometrodynamics_FO1435
mielke-geometrodynamics_FO14362890.853\operatorname{SO}(2,3)mielke-geometrodynamics_FO1436
mielke-geometrodynamics_FO14372890.853\eta_{A B C D E}mielke-geometrodynamics_FO1437
mielke-geometrodynamics_FO14382890.997\Phi^{A}=\left\{\phi^{\alpha}, \phi^{\hat{4}}\right\}mielke-geometrodynamics_FO1438
mielke-geometrodynamics_FO14392890.988U\left(\Phi^{B} \Phi_{B}\right)mielke-geometrodynamics_FO1439
mielke-geometrodynamics_FO14412900.995d C_{\mathrm{RR}}mielke-geometrodynamics_FO1441
mielke-geometrodynamics_FO14422900.989\stackrel{\circ}{\Gamma}^{\alpha \beta}=mielke-geometrodynamics_FO1442
mielke-geometrodynamics_FO14432901.000-\stackrel{\circ}{\Gamma}^{\beta \alpha}mielke-geometrodynamics_FO1443
mielke-geometrodynamics_FO14442901.000B^{\alpha \beta}mielke-geometrodynamics_FO1444
mielke-geometrodynamics_FO14452901.000\mu \neq 0mielke-geometrodynamics_FO1445
mielke-geometrodynamics_FO14462911.000\vartheta^{\alpha}=g^{\alpha \beta} \theta_{\beta}mielke-geometrodynamics_FO1446
mielke-geometrodynamics_FO14472911.000\kappa=mielke-geometrodynamics_FO1447
mielke-geometrodynamics_FO14482911.0008 \pi G_{\mathrm{N}}=8 \pi \ell_{\text {Planck }}^{2}mielke-geometrodynamics_FO1448
mielke-geometrodynamics_FO14492911.000\rho_{\Lambda}=\Lambda / \kappa=\Omega_{\Lambda} \rho_{\text {crit }}<\rho_{\text {crit }}mielke-geometrodynamics_FO1449
mielke-geometrodynamics_FO14502911.000\kappa=\mu \ell^{2} / 4mielke-geometrodynamics_FO1450
mielke-geometrodynamics_FO14512911.000\Lambda=12 \kappa / \mu \ell^{4}=3 / \ell^{2}mielke-geometrodynamics_FO1451
mielke-geometrodynamics_FO14522911.000\mu \simeq 10^{-123}mielke-geometrodynamics_FO1452
mielke-geometrodynamics_FO14532911.000\hat{B} \wedge \hat{B}mielke-geometrodynamics_FO1453
mielke-geometrodynamics_FO14542911.000G_{\mathrm{N}}mielke-geometrodynamics_FO1454
mielke-geometrodynamics_FO14552920.997O(5)mielke-geometrodynamics_FO1455
mielke-geometrodynamics_FO14562920.466\operatorname{SO}(1,3)mielke-geometrodynamics_FO1456
mielke-geometrodynamics_FO14572921.000g_{i j}mielke-geometrodynamics_FO1457
mielke-geometrodynamics_FO14582920.999\Gamma_{4}{ }^{\alpha} \otimes_{\mathrm{s}} \Gamma_{\alpha}{ }^{4}mielke-geometrodynamics_FO1458
mielke-geometrodynamics_FO14592921.000\ell^{2} / \mu^{2}=\left(\kappa / 4 \Lambda_{\mathrm{H}}\right)mielke-geometrodynamics_FO1459
mielke-geometrodynamics_FO14602941.000W^{+}mielke-geometrodynamics_FO1460
mielke-geometrodynamics_FO14612941.000W^{-}mielke-geometrodynamics_FO1461
mielke-geometrodynamics_FO14622940.633\mu \rightarrow 0mielke-geometrodynamics_FO1462
mielke-geometrodynamics_FO14632941.000d smielke-geometrodynamics_FO1463
mielke-geometrodynamics_FO14642941.0001 / \alpha:=mielke-geometrodynamics_FO1464
mielke-geometrodynamics_FO14652951.000\hbar c / e^{2} \simeq 137mielke-geometrodynamics_FO1465
mielke-geometrodynamics_FO14662951.0001 / \mu \simeq 10^{123}mielke-geometrodynamics_FO1466
mielke-geometrodynamics_FO14672950.991C_{\mathrm{TT}}mielke-geometrodynamics_FO1467
mielke-geometrodynamics_FO14682951.000\mathfrak{g l}(4, \mathbb{R})mielke-geometrodynamics_FO1468
mielke-geometrodynamics_FO14692960.865\operatorname{Ric}_{\alpha \beta}:=(-1)^{\text {sig }} *mielke-geometrodynamics_FO1469
mielke-geometrodynamics_FO14702960.998\left(R_{(\alpha}{ }^{\delta} \wedge \eta_{\delta \mid \beta)}\right)mielke-geometrodynamics_FO1470
mielke-geometrodynamics_FO14713001.000\mathscr{S}:=\mathscr{M} / \mathscr{D}mielke-geometrodynamics_FO1471
mielke-geometrodynamics_FO14723001.000\mathscr{D}mielke-geometrodynamics_FO1472
mielke-geometrodynamics_FO14733001.000\mathrm{M}^{3}mielke-geometrodynamics_FO1473
mielke-geometrodynamics_FO14743011.000\mathrm{F}_{i j}mielke-geometrodynamics_FO1474
mielke-geometrodynamics_FO14753011.000g_{[i j]} g^{[i j]}mielke-geometrodynamics_FO1475
mielke-geometrodynamics_FO14763011.000\mathrm{g}_{[i j]}:=\ell^{* 2} \mathrm{~F}_{i j}mielke-geometrodynamics_FO1476
mielke-geometrodynamics_FO14773011.000m \in Mmielke-geometrodynamics_FO1477
mielke-geometrodynamics_FO14783031.000\Sigma_{\omega}mielke-geometrodynamics_FO1478
mielke-geometrodynamics_FO14793040.995\Sigma_{\text {mat }}=0mielke-geometrodynamics_FO1479
mielke-geometrodynamics_FO14803041.000\delta=\pi / 2mielke-geometrodynamics_FO1480
mielke-geometrodynamics_FO14813051.000\Sigma_{\mathrm{YM}}mielke-geometrodynamics_FO1481
mielke-geometrodynamics_FO14823051.000\cos ^{2} \delta+mielke-geometrodynamics_FO1482
mielke-geometrodynamics_FO14833051.000\sin ^{2} \delta=1mielke-geometrodynamics_FO1483
mielke-geometrodynamics_FO14843070.999R_{i j}^{\{ \}}mielke-geometrodynamics_FO1484
mielke-geometrodynamics_FO14853070.993\bar{\tau}_{e}mielke-geometrodynamics_FO1485
mielke-geometrodynamics_FO14863070.993\bar{\tau}_{p}mielke-geometrodynamics_FO1486
mielke-geometrodynamics_FO14873081.000\delta=0mielke-geometrodynamics_FO1487
mielke-geometrodynamics_FO14883080.562\xi \wedge \varthetamielke-geometrodynamics_FO1488
mielke-geometrodynamics_FO14893080.562{ }^{*} \xi \wedge \varthetamielke-geometrodynamics_FO1489
mielke-geometrodynamics_FO14903080.966d \deltamielke-geometrodynamics_FO1490
mielke-geometrodynamics_FO14913080.966{ }^{*} \Sigma_{\mathrm{YM}}(\xi)mielke-geometrodynamics_FO1491
mielke-geometrodynamics_FO14923091.000d d \delta \equiv 0mielke-geometrodynamics_FO1492
mielke-geometrodynamics_FO14933090.928b_{1}=\operatorname{dim} H^{1}(M)=\numielke-geometrodynamics_FO1493
mielke-geometrodynamics_FO14943091.000vmielke-geometrodynamics_FO1494
mielke-geometrodynamics_FO14953101.000(1962,1969)mielke-geometrodynamics_FO1495
mielke-geometrodynamics_FO14963111.000\mathrm{n}=4+\mathrm{K}mielke-geometrodynamics_FO1496
mielke-geometrodynamics_FO14973110.844(1926,1928)mielke-geometrodynamics_FO1497
mielke-geometrodynamics_FO14983121.000M^{4+K}mielke-geometrodynamics_FO1498
mielke-geometrodynamics_FO14993121.000\hat{L}\left(M^{4+K}\right)mielke-geometrodynamics_FO1499
mielke-geometrodynamics_FO15003120.998\hat{\vartheta}mielke-geometrodynamics_FO1500
mielke-geometrodynamics_FO15013121.000\hat{E} \approx M^{4} \times Bmielke-geometrodynamics_FO1501
mielke-geometrodynamics_FO15023121.000G / Hmielke-geometrodynamics_FO1502
mielke-geometrodynamics_FO15033120.951\mathrm{K}=\operatorname{dim} \mathrm{G}mielke-geometrodynamics_FO1503
mielke-geometrodynamics_FO15043120.600P\left(M^{4}, G, \pi, \delta\right)mielke-geometrodynamics_FO1504
mielke-geometrodynamics_FO15053120.983P\left(M^{4}, N / H, \pi, \delta\right)mielke-geometrodynamics_FO1505
mielke-geometrodynamics_FO15063121.000\hat{E}mielke-geometrodynamics_FO1506
mielke-geometrodynamics_FO15073121.000M^{4} \times G / Hmielke-geometrodynamics_FO1507
mielke-geometrodynamics_FO15083120.996\hat{E}\left(M^{4}, F=G / H, N / H, P\right)mielke-geometrodynamics_FO1508
mielke-geometrodynamics_FO15093120.996N / Hmielke-geometrodynamics_FO1509
mielke-geometrodynamics_FO15103120.858\omega=\omega^{j}{ }_{\alpha} L_{j} \otimes \vartheta^{\alpha}mielke-geometrodynamics_FO1510
mielke-geometrodynamics_FO15113120.760\stackrel{\circ}{\vartheta}mielke-geometrodynamics_FO1511
mielke-geometrodynamics_FO15123120.760T_{e}{ }^{*}(G)mielke-geometrodynamics_FO1512
mielke-geometrodynamics_FO15133121.000\xi^{j}mielke-geometrodynamics_FO1513
mielke-geometrodynamics_FO15143121.000\varphi_{j}mielke-geometrodynamics_FO1514
mielke-geometrodynamics_FO15153121.000d \xi^{j}mielke-geometrodynamics_FO1515
mielke-geometrodynamics_FO15163121.000I_{j}mielke-geometrodynamics_FO1516
mielke-geometrodynamics_FO15173120.881V=V^{j} I_{j}, \stackrel{\circ}{\vartheta}mielke-geometrodynamics_FO1517
mielke-geometrodynamics_FO15183121.000\stackrel{\circ}{\omega}mielke-geometrodynamics_FO1518
mielke-geometrodynamics_FO15193131.000\stackrel{\circ}{\Theta}mielke-geometrodynamics_FO1519
mielke-geometrodynamics_FO15203131.000\stackrel{\circ}{\Omega}mielke-geometrodynamics_FO1520
mielke-geometrodynamics_FO15213130.811b=1 / 2mielke-geometrodynamics_FO1521
mielke-geometrodynamics_FO15223131.000\stackrel{\circ}{R}=1 / 4mielke-geometrodynamics_FO1522
mielke-geometrodynamics_FO15233131.000b=0,1mielke-geometrodynamics_FO1523
mielke-geometrodynamics_FO15243131.000\operatorname{Tr}(\stackrel{\circ}{\vartheta} \otimes \stackrel{\circ}{\vartheta})mielke-geometrodynamics_FO1524
mielke-geometrodynamics_FO15253131.000\stackrel{\circ}{g}_{i j}mielke-geometrodynamics_FO1525
mielke-geometrodynamics_FO15263130.997\operatorname{Tr}(\omega \otimes \stackrel{\circ}{\vartheta})mielke-geometrodynamics_FO1526
mielke-geometrodynamics_FO15273130.997\operatorname{Tr}(\omega \otimes \omega)mielke-geometrodynamics_FO1527
mielke-geometrodynamics_FO15283131.000d \hat{s}^{2}mielke-geometrodynamics_FO1528
mielke-geometrodynamics_FO15293130.983\mathrm{G} \times \mathrm{G} / \mathrm{G}_{\mathrm{D}}mielke-geometrodynamics_FO1529
mielke-geometrodynamics_FO15303130.983\mathrm{G}_{\mathrm{D}}mielke-geometrodynamics_FO1530
mielke-geometrodynamics_FO15313141.000\hat{L}(\hat{E})mielke-geometrodynamics_FO1531
mielke-geometrodynamics_FO15323140.998L\left(M^{4}\right), \stackrel{\circ}{\omega}mielke-geometrodynamics_FO1532
mielke-geometrodynamics_FO15333140.998\hat{\alpha}mielke-geometrodynamics_FO1533
mielke-geometrodynamics_FO15343140.5144+\mathrm{K}mielke-geometrodynamics_FO1534
mielke-geometrodynamics_FO15353141.000\hat{\Omega}mielke-geometrodynamics_FO1535
mielke-geometrodynamics_FO15363140.917(4+\mathrm{K})mielke-geometrodynamics_FO1536
mielke-geometrodynamics_FO15373140.917\hat{\mathrm{d}}mielke-geometrodynamics_FO1537
mielke-geometrodynamics_FO15383150.980M^{4}mielke-geometrodynamics_FO1538
mielke-geometrodynamics_FO15393150.999\Omega^{\prime}mielke-geometrodynamics_FO1539
mielke-geometrodynamics_FO15403160.988\alpha_{g}:=g^{2} / \hbar cmielke-geometrodynamics_FO1540
mielke-geometrodynamics_FO15413160.988\hat{L}_{\mathrm{W}}^{G}mielke-geometrodynamics_FO1541
mielke-geometrodynamics_FO15423160.928\stackrel{\circ}{R}mielke-geometrodynamics_FO1542
mielke-geometrodynamics_FO15433160.928\sqrt{\operatorname{det} \stackrel{\circ}{g}}mielke-geometrodynamics_FO1543
mielke-geometrodynamics_FO15443161.000M^{4+K} \approx M^{4} \times Bmielke-geometrodynamics_FO1544
mielke-geometrodynamics_FO15453161.000R_{4} \gg R_{K}mielke-geometrodynamics_FO1545
mielke-geometrodynamics_FO15463160.611\mathscr{D}\left(M^{4+K}\right)mielke-geometrodynamics_FO1546
mielke-geometrodynamics_FO15473160.686R_{\circ}mielke-geometrodynamics_FO1547
mielke-geometrodynamics_FO15483170.998Y_{n}(B)mielke-geometrodynamics_FO1548
mielke-geometrodynamics_FO15493170.998B=G / Hmielke-geometrodynamics_FO1549
mielke-geometrodynamics_FO15503171.000M^{4} \times S^{1}mielke-geometrodynamics_FO1550
mielke-geometrodynamics_FO15513170.725R_{\mathrm{o}}mielke-geometrodynamics_FO1551
mielke-geometrodynamics_FO15523171.000S^{1}mielke-geometrodynamics_FO1552
mielke-geometrodynamics_FO15533181.000S U(2) \times U(1)mielke-geometrodynamics_FO1553
mielke-geometrodynamics_FO15543180.948\mathbb{C} P^{2}=S U(3) / U(2)mielke-geometrodynamics_FO1554
mielke-geometrodynamics_FO15553180.948S^{n}mielke-geometrodynamics_FO1555
mielke-geometrodynamics_FO15563180.994M^{4} \times Bmielke-geometrodynamics_FO1556
mielke-geometrodynamics_FO15573181.000\mathrm{n}=11mielke-geometrodynamics_FO1557
mielke-geometrodynamics_FO15583180.874S^{7}=S O(8) / S O(7)mielke-geometrodynamics_FO1558
mielke-geometrodynamics_FO15593180.999\mathrm{K}=4+2+1=7mielke-geometrodynamics_FO1559
mielke-geometrodynamics_FO15603191.000\mathrm{n}=4+7=11mielke-geometrodynamics_FO1560
mielke-geometrodynamics_FO15613191.000(\mathscr{N}=1)mielke-geometrodynamics_FO1561
mielke-geometrodynamics_FO15623191.000\overline{\mathrm{s}} \leq 3 / 2mielke-geometrodynamics_FO1562
mielke-geometrodynamics_FO15633191.000\overline{\mathrm{s}}=2mielke-geometrodynamics_FO1563
mielke-geometrodynamics_FO15643190.928A_{\text {IJK }}mielke-geometrodynamics_FO1564
mielke-geometrodynamics_FO15653190.835M^{11}=(\mathrm{AdS})^{4} \times S^{7}mielke-geometrodynamics_FO1565
mielke-geometrodynamics_FO15663191.000\tilde{\mathrm{S}}^{7}mielke-geometrodynamics_FO1566
mielke-geometrodynamics_FO15673191.000M^{5}=\mathbb{R}^{4} \times S^{1}mielke-geometrodynamics_FO1567
mielke-geometrodynamics_FO15683200.994\mathrm{E}_{2,4}mielke-geometrodynamics_FO1568
mielke-geometrodynamics_FO15693200.998\hat{\omega}mielke-geometrodynamics_FO1569
mielke-geometrodynamics_FO15703201.000\hat{\psi}mielke-geometrodynamics_FO1570
mielke-geometrodynamics_FO15713201.0002^{[2+\mathrm{K} / 2]}mielke-geometrodynamics_FO1571
mielke-geometrodynamics_FO15723201.000\chi_{\rho F}^{ \pm}(\xi)mielke-geometrodynamics_FO1572
mielke-geometrodynamics_FO15733200.989\stackrel{\circ}{\gamma}^{K+1}mielke-geometrodynamics_FO1573
mielke-geometrodynamics_FO15743211.000\tilde{\omega}^{\mathrm{g}}mielke-geometrodynamics_FO1574
mielke-geometrodynamics_FO15753211.000\gamma \wedge \gamma \wedge{ }^{*} \Omega \psimielke-geometrodynamics_FO1575
mielke-geometrodynamics_FO15763210.527\hat{\mathrm{m}}=0mielke-geometrodynamics_FO1576
mielke-geometrodynamics_FO15773221.000\stackrel{\circ}{D}mielke-geometrodynamics_FO1577
mielke-geometrodynamics_FO15783221.000\stackrel{\circ}{\tilde{\omega}}mielke-geometrodynamics_FO1578
mielke-geometrodynamics_FO15793220.978i \not D^{\text {(int) }}mielke-geometrodynamics_FO1579
mielke-geometrodynamics_FO15803221.000\gamma^{5} \psi=(\mp) \psimielke-geometrodynamics_FO1580
mielke-geometrodynamics_FO15813221.000n=4+Kmielke-geometrodynamics_FO1581
mielke-geometrodynamics_FO15823220.999\widetilde{S O}(1,3+K)mielke-geometrodynamics_FO1582
mielke-geometrodynamics_FO15833220.995\hat{\gamma}^{n+1}mielke-geometrodynamics_FO1583
mielke-geometrodynamics_FO15843220.615\overparen{S O}(1,3) \otimes \widetilde{S O}(K)mielke-geometrodynamics_FO1584
mielke-geometrodynamics_FO15853221.000n=2 p+1mielke-geometrodynamics_FO1585
mielke-geometrodynamics_FO15863221.000\hat{\gamma}^{A} \rightarrow-\hat{\gamma}^{A}mielke-geometrodynamics_FO1586
mielke-geometrodynamics_FO15873221.000\hat{\sigma}^{A B}mielke-geometrodynamics_FO1587
mielke-geometrodynamics_FO15883221.000\hat{\gamma}^{n+1} \rightarrow-\hat{\gamma}^{n+1}mielke-geometrodynamics_FO1588
mielke-geometrodynamics_FO15893221.000n=4 pmielke-geometrodynamics_FO1589
mielke-geometrodynamics_FO15903221.000n=4 p+2mielke-geometrodynamics_FO1590
mielke-geometrodynamics_FO15913230.543i \not D^{(\text {int })}mielke-geometrodynamics_FO1591
mielke-geometrodynamics_FO15923231.000\mathrm{D}^{*}={ }^{*} \mathrm{D}mielke-geometrodynamics_FO1592
mielke-geometrodynamics_FO15933230.922\stackrel{\circ}{\Theta}=0mielke-geometrodynamics_FO1593
mielke-geometrodynamics_FO15943241.000n>2mielke-geometrodynamics_FO1594
mielke-geometrodynamics_FO15953240.999n=11mielke-geometrodynamics_FO1595
mielke-geometrodynamics_FO15963240.999G=\mathrm{SO}(32)mielke-geometrodynamics_FO1596
mielke-geometrodynamics_FO15973241.000\mathrm{E}_{8} \times \mathrm{E}_{8}mielke-geometrodynamics_FO1597
mielke-geometrodynamics_FO15983241.000n=10+\operatorname{dim} G=506mielke-geometrodynamics_FO1598
mielke-geometrodynamics_FO15993240.993{ }^{10} J_{3} \hbarmielke-geometrodynamics_FO1599
mielke-geometrodynamics_FO16003241.000\sqrt{J(J+1)} \hbarmielke-geometrodynamics_FO1600
mielke-geometrodynamics_FO16013241.000Q^{(i)}mielke-geometrodynamics_FO1601
mielke-geometrodynamics_FO16023241.000P^{(i)}mielke-geometrodynamics_FO1602
mielke-geometrodynamics_FO16033241.000J_{3} \hat{=} Jmielke-geometrodynamics_FO1603
mielke-geometrodynamics_FO16043250.798r^{2} e^{v}mielke-geometrodynamics_FO1604
mielke-geometrodynamics_FO16053260.976\bar{Q}^{(\mathrm{o})}mielke-geometrodynamics_FO1605
mielke-geometrodynamics_FO16063260.976J_{3} \hbarmielke-geometrodynamics_FO1606
mielke-geometrodynamics_FO16073261.000\mu_{m}=\frac{Q_{e}}{M} Jmielke-geometrodynamics_FO1607
mielke-geometrodynamics_FO16083260.823\mathrm{M}_{\mathrm{ir}}mielke-geometrodynamics_FO1608
mielke-geometrodynamics_FO16093260.938\mathrm{M}_{\mathrm{ir}}, \bar{Q}^{(\circ)}mielke-geometrodynamics_FO1609
mielke-geometrodynamics_FO16103260.811J \hat{=} J_{3}=0mielke-geometrodynamics_FO1610
mielke-geometrodynamics_FO16113271.000\lambda_{3}mielke-geometrodynamics_FO1611
mielke-geometrodynamics_FO16123271.000\sigma_{3}mielke-geometrodynamics_FO1612
mielke-geometrodynamics_FO16133271.000\Deltamielke-geometrodynamics_FO1613
mielke-geometrodynamics_FO16143270.993r=r_{\mathrm{o}}mielke-geometrodynamics_FO1614
mielke-geometrodynamics_FO16153271.000r=0mielke-geometrodynamics_FO1615
mielke-geometrodynamics_FO16163280.672Q=-\bar{Q} \cos \deltamielke-geometrodynamics_FO1616
mielke-geometrodynamics_FO16173281.000P=-\bar{Q} \sin \deltamielke-geometrodynamics_FO1617
mielke-geometrodynamics_FO16183281.000\mathrm{S}_{\mathrm{A}}mielke-geometrodynamics_FO1618
mielke-geometrodynamics_FO16193280.546\bar{Q}mielke-geometrodynamics_FO1619
mielke-geometrodynamics_FO16203280.9901 / \kappamielke-geometrodynamics_FO1620
mielke-geometrodynamics_FO16213301.000\mathrm{d}=10mielke-geometrodynamics_FO1621
mielke-geometrodynamics_FO16223351.0001 / \alpha_{e}mielke-geometrodynamics_FO1622
mielke-geometrodynamics_FO16233350.967m_{\pi}=2 m_{e} / \alpha_{e}mielke-geometrodynamics_FO1623
mielke-geometrodynamics_FO16243350.829S U(3)^{c}mielke-geometrodynamics_FO1624
mielke-geometrodynamics_FO16253360.924f_{i j}mielke-geometrodynamics_FO1625
mielke-geometrodynamics_FO16263360.924\vartheta^{f}mielke-geometrodynamics_FO1626
mielke-geometrodynamics_FO16273360.924\vartheta^{g}mielke-geometrodynamics_FO1627
mielke-geometrodynamics_FO16283361.000L_{f g}mielke-geometrodynamics_FO1628
mielke-geometrodynamics_FO16293361.000\vartheta^{\mathrm{f}}mielke-geometrodynamics_FO1629
mielke-geometrodynamics_FO16303361.000b-4mielke-geometrodynamics_FO1630
mielke-geometrodynamics_FO16313371.000\sum^{f}mielke-geometrodynamics_FO1631
mielke-geometrodynamics_FO16323371.000\sum^{g}mielke-geometrodynamics_FO1632
mielke-geometrodynamics_FO16333380.921\mathrm{G}_{\mathrm{N}}mielke-geometrodynamics_FO1633
mielke-geometrodynamics_FO16343380.921\mathrm{G}_{\mathrm{S}}mielke-geometrodynamics_FO1634
mielke-geometrodynamics_FO16353381.000=10^{-13} \mathrm{~cm}mielke-geometrodynamics_FO1635
mielke-geometrodynamics_FO16363381.000\mathrm{f}^{0}mielke-geometrodynamics_FO1636
mielke-geometrodynamics_FO16373391.000\mu^{g}, \mu^{f}mielke-geometrodynamics_FO1637
mielke-geometrodynamics_FO16383391.000\mathrm{u}=1 / 2mielke-geometrodynamics_FO1638
mielke-geometrodynamics_FO16393390.992\mu^{g}=\Lambda=0mielke-geometrodynamics_FO1639
mielke-geometrodynamics_FO16403391.000m_{f}=1-2 \mathrm{GeV} / c^{2}mielke-geometrodynamics_FO1640
mielke-geometrodynamics_FO16413401.000E_{j}^{\beta}mielke-geometrodynamics_FO1641
mielke-geometrodynamics_FO16423401.000\Gamma_{i}^{\alpha \beta}mielke-geometrodynamics_FO1642
mielke-geometrodynamics_FO16433401.000\left(\frac{1}{2}, \frac{1}{2}\right)mielke-geometrodynamics_FO1643
mielke-geometrodynamics_FO16443401.000(1,0) \oplusmielke-geometrodynamics_FO1644
mielke-geometrodynamics_FO16453400.609(0,1)mielke-geometrodynamics_FO1645
mielke-geometrodynamics_FO16463400.609\operatorname{spin} \bar{s}_{a}=1mielke-geometrodynamics_FO1646
mielke-geometrodynamics_FO16473401.000\bar{s}=2mielke-geometrodynamics_FO1647
mielke-geometrodynamics_FO16483401.000\Lambda_{\text {eff }} \neq 0mielke-geometrodynamics_FO1648
mielke-geometrodynamics_FO16493411.000\ell=\ell^{*} / \sqrt{\kappa}mielke-geometrodynamics_FO1649
mielke-geometrodynamics_FO16503411.0001 / \sqrt{\kappa}mielke-geometrodynamics_FO1650
mielke-geometrodynamics_FO16513411.00010^{13} \mathrm{~cm}mielke-geometrodynamics_FO1651
mielke-geometrodynamics_FO16523410.999\ell^{2}mielke-geometrodynamics_FO1652
mielke-geometrodynamics_FO16533410.999\ell^{* 2}mielke-geometrodynamics_FO1653
mielke-geometrodynamics_FO16543411.000\kappa=0,38 \times 10^{-38}mielke-geometrodynamics_FO1654
mielke-geometrodynamics_FO16553421.00010^{20}mielke-geometrodynamics_FO1655
mielke-geometrodynamics_FO16563421.000\mathrm{M}_{\mathrm{U}}mielke-geometrodynamics_FO1656
mielke-geometrodynamics_FO16573421.000\mathrm{M}_{\mathrm{P}}mielke-geometrodynamics_FO1657
mielke-geometrodynamics_FO16583421.000\ell_{\mathrm{H}}mielke-geometrodynamics_FO1658
mielke-geometrodynamics_FO16593421.000S U(f)mielke-geometrodynamics_FO1659
mielke-geometrodynamics_FO16603420.995S U(4)mielke-geometrodynamics_FO1660
mielke-geometrodynamics_FO16613420.997S U(5)mielke-geometrodynamics_FO1661
mielke-geometrodynamics_FO16623430.999S O(3) \approx S U(2)mielke-geometrodynamics_FO1662
mielke-geometrodynamics_FO16633431.000S U(4) \approx S O(6) \supsetmielke-geometrodynamics_FO1663
mielke-geometrodynamics_FO16643431.000S O(4) \approx S U(2) \times S U(2)mielke-geometrodynamics_FO1664
mielke-geometrodynamics_FO16653431.000S U(6)mielke-geometrodynamics_FO1665
mielke-geometrodynamics_FO16663431.000J=1 / 2mielke-geometrodynamics_FO1666
mielke-geometrodynamics_FO16673431.000J=3 / 2mielke-geometrodynamics_FO1667
mielke-geometrodynamics_FO16683431.000S L(6, \mathbb{C}) \supset S L(2, \mathbb{C}) \times S U(3)mielke-geometrodynamics_FO1668
mielke-geometrodynamics_FO16693430.962\mathrm{SU}(3)mielke-geometrodynamics_FO1669
mielke-geometrodynamics_FO16703431.000S L(6, \mathbb{C})mielke-geometrodynamics_FO1670
mielke-geometrodynamics_FO16713430.933\mathrm{P}(\mathrm{M}, \overline{\mathrm{G}}, \pi, \delta)mielke-geometrodynamics_FO1671
mielke-geometrodynamics_FO16723431.000[S U(4) \otimes]^{4}mielke-geometrodynamics_FO1672
mielke-geometrodynamics_FO16733431.000f=c=4mielke-geometrodynamics_FO1673
mielke-geometrodynamics_FO16743440.993\overline{\mathrm{L}}(\mathrm{M})mielke-geometrodynamics_FO1674
mielke-geometrodynamics_FO16753440.993\mathrm{A}_{2}mielke-geometrodynamics_FO1675
mielke-geometrodynamics_FO16763440.995S L(2 N, \mathbb{C}) \supset S L(2, \mathbb{C}) \times U(N)mielke-geometrodynamics_FO1676
mielke-geometrodynamics_FO16773441.000\lambda_{i}mielke-geometrodynamics_FO1677
mielke-geometrodynamics_FO16783441.000\mathrm{N}^{2}-1mielke-geometrodynamics_FO1678
mielke-geometrodynamics_FO16793440.983\operatorname{SU}(N)mielke-geometrodynamics_FO1679
mielke-geometrodynamics_FO16803451.000\mathrm{A}_{i}mielke-geometrodynamics_FO1680
mielke-geometrodynamics_FO16813450.998\bar{\gamma}mielke-geometrodynamics_FO1681
mielke-geometrodynamics_FO16823451.000L_{\mathrm{W}}(\mathrm{f})mielke-geometrodynamics_FO1682
mielke-geometrodynamics_FO16833451.000f=c=0mielke-geometrodynamics_FO1683
mielke-geometrodynamics_FO16843451.000f=3mielke-geometrodynamics_FO1684
mielke-geometrodynamics_FO16853450.987c=0mielke-geometrodynamics_FO1685
mielke-geometrodynamics_FO16863450.987\bar{L}_{\mathrm{fg}}mielke-geometrodynamics_FO1686
mielke-geometrodynamics_FO16873461.000G=S U(2)mielke-geometrodynamics_FO1687
mielke-geometrodynamics_FO16883460.989S U(4)^{f} \otimes S U(4)^{c}mielke-geometrodynamics_FO1688
mielke-geometrodynamics_FO16893461.000S L(8, \mathbb{C})^{f} \otimes S U(8, \mathbb{C})^{c}mielke-geometrodynamics_FO1689
mielke-geometrodynamics_FO16903471.000M=\mathbb{R} \times S^{1} \times S^{2}mielke-geometrodynamics_FO1690
mielke-geometrodynamics_FO16913480.994G L(8, \mathbb{C})^{f} \otimesmielke-geometrodynamics_FO1691
mielke-geometrodynamics_FO16923481.000G L(8, \mathbb{C})^{c}mielke-geometrodynamics_FO1692
mielke-geometrodynamics_FO16933481.000U(5)mielke-geometrodynamics_FO1693
mielke-geometrodynamics_FO16943480.987S O(1,9)mielke-geometrodynamics_FO1694
mielke-geometrodynamics_FO16953480.987S O(10)mielke-geometrodynamics_FO1695
mielke-geometrodynamics_FO16963480.994S O(1,13)mielke-geometrodynamics_FO1696
mielke-geometrodynamics_FO16973480.998S O(4, \mathbb{C})mielke-geometrodynamics_FO1697
mielke-geometrodynamics_FO16983480.995E(8)mielke-geometrodynamics_FO1698
mielke-geometrodynamics_FO16993480.995E(10)mielke-geometrodynamics_FO1699
mielke-geometrodynamics_FO17003490.984(5, \mathbb{C})mielke-geometrodynamics_FO1700
mielke-geometrodynamics_FO17013490.992\operatorname{SL}(2 \mathrm{n}, \mathbb{C}) \otimes \operatorname{SL}(2, \mathbb{C})mielke-geometrodynamics_FO1701
mielke-geometrodynamics_FO17023490.9981000 \mathrm{~m}_{\mathrm{W}}mielke-geometrodynamics_FO1702
mielke-geometrodynamics_FO17033500.4732 \mathrm{n}, \mathbb{C}mielke-geometrodynamics_FO1703
mielke-geometrodynamics_FO17043500.8052^{+}mielke-geometrodynamics_FO1704
mielke-geometrodynamics_FO17053540.952\mathrm{R}-\mathrm{R}_{\mathrm{o}}mielke-geometrodynamics_FO1705
mielke-geometrodynamics_FO17063541.000(1966,1967)mielke-geometrodynamics_FO1706
mielke-geometrodynamics_FO17073541.000\kappa>0mielke-geometrodynamics_FO1707
mielke-geometrodynamics_FO17083540.9832 \mu / \mathrm{r}mielke-geometrodynamics_FO1708
mielke-geometrodynamics_FO17093551.000\ell_{m}mielke-geometrodynamics_FO1709
mielke-geometrodynamics_FO17103550.998\mathrm{F}=\mathrm{F}_{\mathrm{nm}}^{\iota}\left(\rho^{*}\right)mielke-geometrodynamics_FO1710
mielke-geometrodynamics_FO17113560.877\iota=0mielke-geometrodynamics_FO1711
mielke-geometrodynamics_FO17123571.000\rho^{*}=\frac{\pi}{2}mielke-geometrodynamics_FO1712
mielke-geometrodynamics_FO17133571.000\beta^{2}<2mielke-geometrodynamics_FO1713
mielke-geometrodynamics_FO17143571.000\mathrm{V}(\mathrm{r})=2 \mu / \mathrm{r}+\mathrm{cr}mielke-geometrodynamics_FO1714
mielke-geometrodynamics_FO17153580.997\overline{\mathrm{Q}}mielke-geometrodynamics_FO1715
mielke-geometrodynamics_FO17163581.000\mathrm{Q}_{\mathrm{e}}mielke-geometrodynamics_FO1716
mielke-geometrodynamics_FO17173580.522\mathrm{M}_{\text {ir }}mielke-geometrodynamics_FO1717
mielke-geometrodynamics_FO17183580.630\mathrm{M}^{*}:=\hbar \sqrt{8 \pi} / \ell^{*} \mathrm{c}mielke-geometrodynamics_FO1718
mielke-geometrodynamics_FO17193580.966\mathrm{M}_{\text {ir }}=\mathrm{M}^{*}=1 \mathrm{GeV} / \mathrm{c}^{2}mielke-geometrodynamics_FO1719
mielke-geometrodynamics_FO17203590.999M, Jmielke-geometrodynamics_FO1720
mielke-geometrodynamics_FO17213590.999Imielke-geometrodynamics_FO1721
mielke-geometrodynamics_FO17223591.000\mathrm{J}=0mielke-geometrodynamics_FO1722
mielke-geometrodynamics_FO17233590.999\mathrm{b}=\frac{1}{5}mielke-geometrodynamics_FO1723
mielke-geometrodynamics_FO17243590.998\Lambda(1116)mielke-geometrodynamics_FO1724
mielke-geometrodynamics_FO17253601.000k_{B}=8.6 \times 10^{-5} \mathrm{eV} / \mathrm{K}mielke-geometrodynamics_FO1725
mielke-geometrodynamics_FO17263620.877S U(8)mielke-geometrodynamics_FO1726
mielke-geometrodynamics_FO17273620.824(6, \mathbb{C})mielke-geometrodynamics_FO1727
mielke-geometrodynamics_FO17383650.9982 \times 2mielke-geometrodynamics_FO1738
mielke-geometrodynamics_FO17393650.984\mathrm{C}(0,2)=\mathbb{H}mielke-geometrodynamics_FO1739
mielke-geometrodynamics_FO17403650.9894 \times 4mielke-geometrodynamics_FO1740
mielke-geometrodynamics_FO17413661.0004<2 \mathrm{p}+1<2 \mathrm{p}+2 \leq n=2 l+2mielke-geometrodynamics_FO1741
mielke-geometrodynamics_FO17423660.997\emptysetmielke-geometrodynamics_FO1742
mielke-geometrodynamics_FO17433661.000\mathrm{T}_{1}mielke-geometrodynamics_FO1743
mielke-geometrodynamics_FO17443661.000\mathrm{m}_{1}, \mathrm{~m}_{2} \in \mathrm{X}mielke-geometrodynamics_FO1744
mielke-geometrodynamics_FO17453661.000\mathrm{U}_{\mathrm{i}} \ni \mathrm{m}_{\mathrm{i}}mielke-geometrodynamics_FO1745
mielke-geometrodynamics_FO17463661.000\mathrm{T}_{2}mielke-geometrodynamics_FO1746
mielke-geometrodynamics_FO17473660.566\mathrm{U}_{1} \bigcap \mathrm{U}_{2}=\varnothingmielke-geometrodynamics_FO1747
mielke-geometrodynamics_FO17483671.000\sigma: \mathrm{M} \rightarrow \mathrm{N}mielke-geometrodynamics_FO1748
mielke-geometrodynamics_FO17493671.000\mathrm{M} \approxmielke-geometrodynamics_FO1749
mielke-geometrodynamics_FO17503671.000\mathrm{N} \approx \mathbb{R}^{\mathrm{n}}mielke-geometrodynamics_FO1750
mielke-geometrodynamics_FO17513670.980{ }^{-1}mielke-geometrodynamics_FO1751
mielke-geometrodynamics_FO17523670.990\sigma_{*}: \mathrm{T}_{\mathrm{m}}(\mathrm{M}) \rightarrow \mathrm{T}_{\sigma(\mathrm{m})}(\mathrm{N})mielke-geometrodynamics_FO1752
mielke-geometrodynamics_FO17533670.999\sigma(\mathrm{s}(\mathrm{t}))mielke-geometrodynamics_FO1753
mielke-geometrodynamics_FO17543671.000e^{f}mielke-geometrodynamics_FO1754
mielke-geometrodynamics_FO17553671.000\sigma_{*}mielke-geometrodynamics_FO1755
mielke-geometrodynamics_FO17563671.000\sigma_{*}^{\mathrm{T}}: T_{\sigma(\mathrm{m})}^{*}(\mathrm{~N}) \rightarrow \mathrm{T}_{\mathrm{M}}^{*}(\mathrm{M})mielke-geometrodynamics_FO1756
mielke-geometrodynamics_FO17573671.000{ }^{*} \alphamielke-geometrodynamics_FO1757
mielke-geometrodynamics_FO17583680.858(p, 0)mielke-geometrodynamics_FO1758
mielke-geometrodynamics_FO17593690.982{ }^{1} \mathrm{df}=\vartheta^{\alpha} \partial_{\alpha} \mathrm{f}mielke-geometrodynamics_FO1759
mielke-geometrodynamics_FO17603690.937\sigma_{*} \alpha^{(0)}:=\alpha^{(0)} \circ \sigmamielke-geometrodynamics_FO1760
mielke-geometrodynamics_FO17613691.000\varepsilon_{\alpha_{1} \ldots \alpha_{n}}mielke-geometrodynamics_FO1761
mielke-geometrodynamics_FO17623690.999\varepsilon_{\hat{1} \ldots \tilde{n}}=+1mielke-geometrodynamics_FO1762
mielke-geometrodynamics_FO17633691.000g_{\mathrm{ij}}mielke-geometrodynamics_FO1763
mielke-geometrodynamics_FO17643690.997\mathrm{df}=\left(\partial \mathrm{f} / \partial x^{i}\right) d x^{i}mielke-geometrodynamics_FO1764
mielke-geometrodynamics_FO17653711.000\delta \alpha=0mielke-geometrodynamics_FO1765
mielke-geometrodynamics_FO17663710.901\mathrm{B}(\mathrm{M}):=\mathrm{d} \mathrm{D}(\mathrm{M})mielke-geometrodynamics_FO1766
mielke-geometrodynamics_FO17673711.000\mathrm{B}^{0}(\mathrm{M})=0mielke-geometrodynamics_FO1767
mielke-geometrodynamics_FO17683720.995\mathrm{H}^{\mathrm{p}}(\mathrm{M})mielke-geometrodynamics_FO1768
mielke-geometrodynamics_FO17693721.000\mathrm{t}=-1mielke-geometrodynamics_FO1769
mielke-geometrodynamics_FO17703720.998\eta_{\mathrm{i}}mielke-geometrodynamics_FO1770
mielke-geometrodynamics_FO17713730.843\mathrm{c}: \Delta_{\mathrm{p}} \rightarrow \mathrm{M}mielke-geometrodynamics_FO1771
mielke-geometrodynamics_FO17723730.843\mathrm{C}_{\mathrm{p}}(\mathrm{M}, \mathbb{R})mielke-geometrodynamics_FO1772
mielke-geometrodynamics_FO17733731.000\partial \mathrm{c}mielke-geometrodynamics_FO1773
mielke-geometrodynamics_FO17743730.997\mathrm{Z}_{\mathrm{p}}(\mathrm{M}, \mathbb{R})=(\operatorname{Ker} \partial)_{\mathrm{p}}, \mathrm{B}_{\mathrm{p}}(\mathrm{M}, \mathbb{R}):=(\operatorname{lm} \partial)_{\mathrm{p}}mielke-geometrodynamics_FO1774
mielke-geometrodynamics_FO17753731.000\mathrm{N}_{(\mathrm{p})} \subset \mathrm{M}mielke-geometrodynamics_FO1775
mielke-geometrodynamics_FO17763731.000\mathrm{N}_{(\mathrm{p})}mielke-geometrodynamics_FO1776
mielke-geometrodynamics_FO17773731.000\mathrm{c}_{\mathrm{p}} \in \mathrm{C}_{\mathrm{p}}(\mathrm{M}, \mathbb{R})mielke-geometrodynamics_FO1777
mielke-geometrodynamics_FO17783741.000\mathrm{H}^{\mathrm{P}}(\mathrm{M}) \times \mathrm{H}_{\mathrm{p}}(\mathrm{M}, \mathbb{R}) \rightarrow \mathbb{R}mielke-geometrodynamics_FO1778
mielke-geometrodynamics_FO17793751.000\mathrm{g} \in \mathrm{G}mielke-geometrodynamics_FO1779
mielke-geometrodynamics_FO17803751.000\mathrm{G} \times \mathrm{G} \rightarrow \mathrm{G}mielke-geometrodynamics_FO1780
mielke-geometrodynamics_FO17813750.999\left(\mathrm{g}_{1}, \mathrm{~g}_{2}\right) \rightarrow \mathrm{g}_{1} \mathrm{~g}_{2}^{-1}mielke-geometrodynamics_FO1781
mielke-geometrodynamics_FO17823751.000\mathrm{G}=\mathrm{GL}(\mathrm{N}, \mathbb{C})mielke-geometrodynamics_FO1782
mielke-geometrodynamics_FO17833750.999\mathrm{T}_{\mathrm{e}}(\mathrm{G})mielke-geometrodynamics_FO1783
mielke-geometrodynamics_FO17843750.999\mathrm{e} \in \mathrm{G}mielke-geometrodynamics_FO1784
mielke-geometrodynamics_FO17853750.952\xi=\left\{\xi^{\mathrm{j}}, \mathrm{j}=1, \ldots, \mathrm{~K}\right\}mielke-geometrodynamics_FO1785
mielke-geometrodynamics_FO17863750.943\mathrm{c}_{\mathrm{ij}}^{\mathrm{k}}mielke-geometrodynamics_FO1786
mielke-geometrodynamics_FO17873761.000\mathrm{A}=\mathrm{A}^{\mathrm{i}} \mathrm{I}_{\mathrm{i}}mielke-geometrodynamics_FO1787
mielke-geometrodynamics_FO17883761.000\mathrm{B}=\mathrm{B}^{\mathrm{j}} \mathrm{I}_{\mathrm{j}}mielke-geometrodynamics_FO1788
mielke-geometrodynamics_FO17893761.000\stackrel{\circ}{g}_{l s}mielke-geometrodynamics_FO1789
mielke-geometrodynamics_FO17903760.863\mathfrak{g l}(\mathrm{N}, \mathbb{C})mielke-geometrodynamics_FO1790
mielke-geometrodynamics_FO17913760.737\mathrm{G}=\exp ^{\mathrm{Trg}}mielke-geometrodynamics_FO1791
mielke-geometrodynamics_FO17923770.995\xi^{\mathrm{j}}mielke-geometrodynamics_FO1792
mielke-geometrodynamics_FO17933771.000\lambda_{\mathrm{j}}mielke-geometrodynamics_FO1793