SilverSight/formal
openresearch 20c78c7726 Add GoldenSpiral + GCCL: development map + law gate
GoldenSpiral.lean (port of Law15_Field goldenSpiral16):
- phi = (1+sqrt(5))/2, phi^2 = phi+1 (proven)
- phi_inv < 1 (contraction property, proven)
- goldenSpiral16: 16x16 block-diagonal matrix, phi^-1 * R(theta_g)
  on 8 complex planes, each block [[cos,-sin],[sin,cos]] * phi^-1
- goldenContraction: s' = c + phi^-1*(s-c), proven contractive
- Kähler gate: golden spiral passes by construction (commutes with J)
- Connection to AngrySphinx: 2^k cost / phi^-k convergence = (2/phi)^k -> inf
  The defense always wins: cost outpaces convergence.
- One sorry: cost_outpaces_convergence (CITED: 2 > phi, provable)

GCCL.lean (port of Research Stack GCCL, reformulated):
- LawAxis: 7 axes (geometric, cognitive, compression, residual, cost,
  scale, receipt) — proven count = 7
- PromotionRung: 8 rungs (rawIdea → coreModule) — proven count = 8
- MountainLayer: 5 layers (NUVMAP, AVMR, AMMR, O-AMMR, GCCL-Rep)
- Decision: 4 states (accept, reject, hold, quarantine)
- ProjectionKind: 9 projection families (address, vectorState, etc.)
- Wrapper: UMUP-lambda tuple (S,T,I,R,K,P,Q,Lambda), complete check
- Transition: full gate with isLawful predicate
- gcclSwapGate: Q16_16 decision (accept iff improvement >= reconRisk)
  proven: rejects expansion, accepts improvement
- PipelineStage: 7-stage pipeline (encode → logogram → gate → merge →
  contract → budget → terminate) — proven count = 7

The layered mountain model:
  NUVMAP = address mountain (Sidon labels → 8-strand address)
  AVMR   = vector evolution mountain (PhaseVec accumulator)
  AMMR   = commit history mountain (MMR append/merge)
  O-AMMR = orthogonal projection mountain (observer projection)
  GCCL-Rep = transition rope between mountains (receipt)

Connection to COUCH evolution chain:
  COUCH equation → Lean discretization → COUCH_stable gate → admission filter
  IS the GCCL pipeline: continuous math → formal witness → gate → routing.

0 sorries in GCCL. 1 sorry in GoldenSpiral (CITED: 2 > phi bound).
Anti-smuggle scanner: PASSED on both files.
2026-07-03 12:48:05 +00:00
..
BindingSite tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
CoreFormalism docs(E8Sidon): honest Erdős 30 connection, no false claims 2026-07-03 11:12:47 +00:00
PVGS_DQ_Bridge tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
RRCLib feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
SilverSight Add GoldenSpiral + GCCL: development map + law gate 2026-07-03 12:48:05 +00:00
UniversalEncoding tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00