2 commits

Author	SHA1	Message	Date
allaun	6b26a9bc6e	fix: address adversarial review findings ... Architecture fixes: - Fixed phantom Semantics.* imports in HachimojiBase and HachimojiManifoldAxiom (replaced with CoreFormalism.* and SilverSight.* imports) - RRCLib.RRCEmit confirmed to exist (attacker was wrong) - Duplicate ProductSchema/ProductWireFormat confirmed NOT in SilverSightCore (attacker was wrong) Documentation fixes: - SOS example: fixed s₀ = x² (was incorrectly stated as 0) - Added Archimedean condition to Putinar's Positivstellensatz - Sidon bound: fixed to ⌊√(2N)⌋ + 1 in FIRST_PRINCIPLES (consistency with PURE_FORMULAS) - Safety margin 28× confirmed correct (attacker's 56.7× was wrong — they confused ppm with ×10^-6) Lean proof status: - repunit function: documented as 'repunit characteristic' (not mathematical repunit) - chentsov_50: 7 sorries remain (type bridge + chentsov_theorem internal sorries) - Fisher metric bridge: cross-term 1/p₀ correctly identified and documented	2026-06-23 08:28:30 -05:00
allaun	299385d734	docs: SOS certificate replaces Baker's theorem — pure polynomial arithmetic ... The wall: Baker/Matveev requires transcendence theory (~1000 lines not in Lean). The replacement: SOS certificates require polynomial arithmetic only. Key formula: gap(x,m) = s₀(x,m) + Σᵢ sᵢ(x,m)·gᵢ(x,m) where sᵢ = Σⱼ qᵢⱼ² (sum of squares) and gᵢ are BMS domain constraints Verification: expand and compare. No transcendence theory needed. No Baker. No Matveev. Pure polynomial arithmetic. Formula-first: zero English in formulas.	2026-06-23 06:24:50 -05:00