05

Part 5 of 8 · gr-qc

Reconstruction Defects, Diffeomorphism Ward Identities, and Conservation

How is geometric and matter mismatch encoded locally?

What this part establishes

A defect tensor packages mismatch between the reconstructed metric and matter state, while distinct Noether and Ward identities control its divergence under stated on-shell and anomaly assumptions.

Boundary of the claim

A nonzero defect does not determine a unique microscopic relaxation law.