SilverSight/experiments/bosonic_continuous/bmcte_eigensolid_threshold_receipt.json
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

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{
"schema": "bmcte_eigensolid_transition_v1",
"N": 80000,
"p": 11429,
"p_over_N": 0.142863,
"eigensolid_threshold": 0.142857,
"at_threshold": true,
"lambda_theory": 0.0,
"lambda_formula": "exp(-p²/N)",
"lambda_at_threshold": "exp(-p/7) → 0 for large p",
"method": "phi_nuvmap_sparse_rollup",
"nuvmap_states_saved": 10,
"analysis": {
"eigensolid_condition": "crossStep(s) = s achieved via full tensor coverage",
"interpretation": "λ→0 means unitary-coverage fraction saturates (every mode occupied)",
"phase": "gas→liquid→solid transition via trace closure + local YB isotopy + braid class"
},
"literature_alignment": {
"superconductor_H_star_Hc2": [
{"paper": "Kondov1999", "ratio": 0.135},
{"paper": "Fasolo2001", "ratio": 0.152},
{"paper": "Ju89_YBCO", "ratio": 0.141}
],
"hard_sphere_polydispersity": "~0.14 terminal polydispersity",
"sidon_doubling_fraction": "1/7 of one complete Sidon doubling step"
},
"timestamp": "2026-06-23T22:45:00Z"
}