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526357e391
Rewrote the E8Sidon.lean module header to honestly state the connection to Erdős Problem 30 (https://www.erdosproblems.com/30): - The problem: is h(N) = N^{1/2} + O_ε(N^ε)? (000, open) - Current bounds: upper by Carter-Hunter-O'Bryant 2025, lower by Singer 1938 - What this module provides: power-of-2 Sidon labels (weaker than Singer), E₈ convolution identity (connects to root system, does NOT improve Erdős 30 bounds) - What was abandoned: the false claim that E₈ level sets are Sidon (disproven at N=32, SORRY PROTOCOL Option C) - What the pipeline may contribute: DNA-encoded search for large Sidon sets via thermodynamic energy descent (future work, not proven) The previous header claimed 'improves the unconditional bound from ε ≥ 1/2 to ε ≥ 1/4' — this was false and is removed. Also: eigensolid_convergence and receipt_invertible in BraidEigensolid.lean are already proven (not sorry). rossby_energy_dissipation_rate in BraidStateN.lean is already proven (rfl; omega). No changes needed to those theorems. |
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|---|---|---|
| .. | ||
| Bind.lean | ||
| BraidBracket.lean | ||
| BraidCross.lean | ||
| BraidEigensolid.lean | ||
| BraidField.lean | ||
| BraidSpherionBridge.lean | ||
| BraidStateN.lean | ||
| BraidStrand.lean | ||
| CharacterTransform.lean | ||
| ChentsovFinite.lean | ||
| DynamicCanal.lean | ||
| E8Sidon.lean | ||
| FixedPoint.lean | ||
| GoormaghtighEnumeration.lean | ||
| HachimojiBase.lean | ||
| HachimojiBridging.lean | ||
| HachimojiCodec.lean | ||
| HachimojiLUT.lean | ||
| HachimojiManifoldAxiom.lean | ||
| HopfFibration.lean | ||
| InteractionGraphSidon.lean | ||
| Q16_16Numerics.lean | ||
| SidonSets.lean | ||
| SieveLemmas.lean | ||
| Tactics.lean | ||