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Author SHA1 Message Date
1e20691cb1 docs: Hopf Portability Criterion + Ingest Bridge — 4-agent synthesis
Hopf Portability Criterion:
- 6 necessary conditions for problem portability (A-F)
- 28 = 4×7 = 2²×(2³−1) factorization theorem
- n=8 is the maximal group-theoretic Hopf encoding
- 15 annotated domain templates

Hopf Ingest Bridge:
- Input schema: problem metadata → 6 conditions → fingerprint
- 15 pre-classified templates (physics, optimization, NT, geometry)
- Output receipt: schema hopf_ingest_receipt_v1
- Architecture: JSON → Checker → Computer → Matcher → Receipt

Cross-agent consensus:
- Topological insulators: strongest physics port
- Anyons/TQC: π⁷(S⁴)=ℤ₂₈ exact match (deepest theory)
- QUBO: strongest optimization port
- Crystalline cohomology: strongest arithmetic port
2026-06-30 19:53:58 -05:00
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
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