# Theory and mathematics bridge audit

**Date:** 25 October 2026  
**Authority:** typed bridge accounting, not a new physical identification

This register audits the distinct theoretical bridges behind the object-level adjacency map. Its unit is one normalized topic × relation-family cluster, not one repeated object cell. Every record states the source and target types, treatment of units, assumptions, map, preserved and lost structure, invariants, limits, counterexample, equivalence freedom, physical non-implications, independent check, work class and reopening trigger. A named absence remains an absence; the audit does not manufacture a physical map.

The 491 bridge records cover all 55,393 object-family cells. Structural omissions: **0**.

## Work classification

| Class | Bridge clusters |
|---|---:|
| dependency_gated_finite_packet | 163 |
| external_data_or_release_blocker | 27 |
| external_theory_breakthrough_blocker | 12 |
| finite_audit_or_maintenance | 18 |
| finite_experimental_or_engineering_packet | 155 |
| finite_theory_or_computation_packet | 32 |
| genuine_open_mathematics_or_physics_problem | 12 |
| resolved_within_declared_scope | 72 |

## Reading rule

A complete record is not necessarily a solved bridge. `resolved_within_declared_scope` means the cited local question is closed only in its stated scope. Dependency, source-data, finite-audit and open-research classes preserve their missing datum and reopening trigger. Numerical identities are forbidden unless the cited source supplies the dimensioned map and normalization.

The machine-readable records are in [the JSON register](theory_bridge_audit_v1.json).