Commit graph

2 commits

Author SHA1 Message Date
60e1d01708 verify(wolfram): 35/35 spectral gap chain confirmed by Wolfram Alpha
Chain A (12 verified): σ=39/256, τ=1/7, D=1792, ∆=17/1792, 28=7×4
Chain B (8 verified): 273/1792=σ, 256/1792=τ, gap=17/1792, 1792=2⁸×7
Chain C (4 verified): 17 prime, (2³−1)×4=28, gap=0.95%, 28·gap=17/64
Chain D (3 transcendental): φ², 2π/φ², arctan(17/1792)
Chain E: Complete spectral gap spectrum

Receipt: signatures/wolfram_spectral_verification.json
All rational constants independently confirmed. 0 discrepancies.
2026-06-30 20:01:31 -05:00
78f211a611 docs: reorganize claim status, separate proven from hypothetical
CLAIMS_STATUS.md:
- §1: PROVEN (Lean theorems + exact identities)
- §2: COMPUTATIONAL WITNESS (#eval, axioms with receipts)
- §3: STRUCTURAL (proven for n=8, general pending)
- §4: UNPROVEN / EXPLORATORY (not claimed as established)
- §5: ROUTES UNDER INVESTIGATION (Noether, Rossby, E8, Ingest)
- §6: NAMING CONVENTION (theorem/axiom/conjecture/route)

noether_route.md:
- Explicitly framed as 'route under investigation'
- What's proven: Cartan arithmetic (independent of Noether)
- What's proposed: Lagrangian on S⁷ → Noether charges → same integers
- Plausibility arguments: for and against
- Prerequisites: 4-step proof chain
- Risk assessment: high difficulty but nothing reliant on it breaks

The Cartan proof stands independently. Noether is a possible
deepening, not a retroactive justification.
2026-06-30 19:58:17 -05:00