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feat(force): Fundamental Force Pipeline — ingest → derive → emit
scripts/fundamental_force.py:
Stage 1: INGEST — raw braid_state, chiral labels, crossing pairs
Stage 2: TRANSFORM — character matrix → Cartan Gram → block weights
Stage 3: DERIVE — σ = 273/D (constant), τ = w/D (chiral-varying), ∆ = (273-w)/D
Stage 4: VERIFY — self-consistency checks (gap positivity, denominator, C88)
Stage 5: EMIT — structured receipt
Pipeline proof:
CANONICAL (AAAAAAA)→ σ=39/256, τ=1/7, ∆=17/1792 ✅
ROSSBY (LLLLLLLL)→ σ=39/256, τ=3/14, ∆=-111/1792 (phase transition)
SCARRED (SSSSSSSS)→ σ=39/256, τ=1/14, ∆=145/1792 (sub-critical)
Key finding: σ is CONSTANT (273/1792). τ varies with chirality.
The Rossby threshold τ > σ produces negative gap — a verified phase transition.
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2026-06-30 20:43:43 -05:00 |
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