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Part 3 of 8 · gr-qc
The Infrared Consistency Equation for Reconstructed Metrics
When does stationarity produce the Einstein equation?
What this part establishes
Effective-action stationarity yields the complete metric equation only when reconstruction variations span physical metric variations. Einstein-Hilbert dynamics leads at two derivatives under explicit spectral and EFT assumptions.
Boundary of the claim
A restricted reconstruction tests only a projection of the field equation.