Research-Stack/0-Core-Formalism/lean
allaun 9a6a4ebf20 feat(lean): ChentsovBridge connecting SIM metric to Fisher-Rao uniqueness
Add Semantics.ChentsovBridge with:
- Discrete simplex, tangent vectors, Markov morphisms
- Fisher-Rao metric field and quadratic form
- Axiom for Chentsov uniqueness (literature reference)
- SIM metric from RandersMetric alpha component
- Main theorem: torsion-free => SIM = Fisher (up to scale)
- mergeTwo coarse-graining example (2 bookkeeping sorries)
- simMetricIsMonotone axiom with TODO(lean-port) proof sketch

Update AGENTS.md pending proof work section.

Verification: narrow target lake build Semantics.ChentsovBridge is pending
because upstream oleans (TransportTheory -> AdjugateMatrix -> FixedPoint) are
stale and require a long rebuild. Syntax was checked via lake env lean.
2026-06-21 01:04:19 -05:00
..
conversions/hardware chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
external/OTOM feat(lean): close gaussian_line_integral_unit_dir + consolidate infrastructure 2026-06-18 16:53:23 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics feat(lean): ChentsovBridge connecting SIM metric to Fisher-Rao uniqueness 2026-06-21 01:04:19 -05:00
singer-theorem-lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00