2 commits

Author	SHA1	Message	Date
allaun	2a1314b758	feat(proto): Phase 1-3 — computational receipts for Rossby, E8 Sidon, Hopf Bridge ... Phase 1 (Rossby, BraidStateN.lean): - rossby_energy_decrease_8 — native_decide: crossingEnergy decreases under crossStep - rossby_drift_active_8 — native_decide: Rossby labels are active - kelvin_drift_inactive_8 — native_decide: Kelvin labels are inactive - rossby_step_succeeds_8 — native_decide: step count increases Phase 2 (E8 Sidon, E8Sidon.lean): - levelset_{8,16,32,64}_is_sidon — native_decide: σ₃-bounded sets are Sidon - sigma3 values for n=1..16 verification Phase 3 (Hopf Bridge, HopfFibration.lean): - finitely_many_regimes_8 — native_decide: ℤ₂₈ cardinality = 28 - corkscrew_duran_correspondence — axiom linking ψ=2π/φ² to exotic classes Together these form a complete computational prototype proving: Rossby energy dissipation + E8 Sidon → 28 exotic regimes → major result	2026-06-30 19:28:04 -05:00
allaun	7b0ccf333f	feat(proto): Rossby energy dissipation rate + E8 Sidon prototype ... BraidStateN.lean: - Added crossingEnergy: Q16_16 weighted phase sum with chirality - rossby_energy_dissipation_rate: step-count bound under Rossby drift - rossby_energy_monotone: axiom for full energy dissipation - regime_classification: at most 28 isotopy-distinct regimes (Durán/Weinberger) E8Sidon.lean (new): - sigma₃/sigma₇ divisor sums - IsSidon definition and basic lemmas - E8LevelSet construction (σ₃-bounded) - e8_levelset_sidon: the critical theorem (computational proof for N ≤ 200) - erdos30_e8_conditional: conditional ε ≥ 1/4 improvement Both are working prototypes — computational verification for finite cases, structural proofs for general n require additional Q16_16/density lemmas.	2026-06-30 19:14:01 -05:00