Gauge-invariant retarded curvature response.
tfpt research contracts · tfpt research contracts · Research contracts
The local curvature variables remain [formula in source] They commute strongly with the gravitational parts of all four constraints: [formula in source] and [formula in source] . The c-number shifts in (8) have zero bracket with them, so [formula in source] remain gauge invariant. They obey [formula in source] and, on [formula in source] , [formula in source] The retarded solution with vanishing past data is therefor
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/toe_round7_matter_coupling.tex · lines 212 to 272
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.