H2 Metric Reconstruction

H2 asks whether relational pulse counts and signal exchanges can determine the Lorentzian metric, up to diffeomorphism.

Current Verdict

H2 is accepted for the ideal fixed-event uniqueness theorem and partially accepted for restricted finite-data prototype slices. H2S1 adds a raw event-graph reconstruction diagnostic. H2 is not accepted for arbitrary sparse-record metric reconstruction.

The acceptance report is H2 metric reconstruction acceptance.

Reading Order

1. Metric reconstruction from pulse comparisons
2. Finite pulse-record schema
3. Finite-data stability and gauge
4. Raw relational identifiability
5. Raw event-graph reconstruction

Accepted Outputs

• ideal fixed-event uniqueness under stated smooth-event, clock, signal, and richness assumptions
• finite schema for practical pulse and signal records
• restricted finite-data prototype estimators and stability conditions
• raw event-graph reconstruction diagnostic for a controlled slice

Rejected Overclaims

• no general reconstruction from arbitrary sparse finite records
• no automatic derivation of the smooth event manifold from arbitrary raw data
• no full metric-field solver without ansatz, gauge, calibration, and nuisance models

Code And Tests

• src/pulse_model/h2_reconstruction.py
• src/pulse_model/raw_record_reconstruction.py
• tests/test_h2_reconstruction.py
• tests/test_raw_record_reconstruction.py