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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. |
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| CoreFormalism | ||
| PVGS_DQ_Bridge | ||
| RRCLib | ||
| SilverSight | ||
| UniversalEncoding | ||