SilverSight/formal
allaun da4ea434e7 feat(lean): ContractedCrossStep — genuine φ⁻¹ contraction for braid crossing dynamics
The real crossStep uses PhaseVec.add (additive doubling: zᵢⱼ = zᵢ + zⱼ),
which grows until Q16_16 saturation. ContractedCrossStep fixes this by
replacing the merge with φ⁻¹ · (half · (p + q)), which contracts on the
diagonal: merge(z,z) = φ⁻¹ · z (exact under non-saturation).

Key results:
- half_mul_add_self_non_sat: half * (a + a) = a (exact Q16_16 identity
  when a + a doesn't overflow)
- contractedPhaseMerge_diagonal_non_sat: merge contracts by φ⁻¹
- Jitter also contracted by φ⁻¹ to prevent saturation
- #eval witnesses confirm φ⁻¹ contraction and zero-state fixedness

Convergence theorems stated with proof sketches; full proofs require
Q16_16 inequality lemmas and well-founded induction (TODO).

Build: 3309 jobs, 0 errors
2026-07-07 02:24:26 -05:00
..
BindingSite tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
CoreFormalism feat(lean): ContractedCrossStep — genuine φ⁻¹ contraction for braid crossing dynamics 2026-07-07 02:24:26 -05:00
RRCLib feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
SilverSight chore: remove bak file 2026-07-05 15:05:34 -05:00