mirror of
https://github.com/allaunthefox/SilverSight.git
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allaun
4326ebb9c1
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.
229 lines
No EOL
2.9 KiB
JSON
229 lines
No EOL
2.9 KiB
JSON
{
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"schema": "fundamental_force_pipeline_v1",
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"input": {
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"n": 8,
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"pairs": [
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[
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0,
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1
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],
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[
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2,
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3
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],
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[
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4,
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5
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],
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[
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6,
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7
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]
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],
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"chiral": [
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"A",
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"A",
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"A",
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"A",
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"A",
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"A",
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"A",
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"A"
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],
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"sidon": [
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1,
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2,
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4,
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8,
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16,
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32,
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64,
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128
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],
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"phases": [
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0
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]
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},
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"transform": {
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"character_matrix": [
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[
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1,
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0,
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0,
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0
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],
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[
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-1,
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0,
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0,
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0
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],
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[
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0,
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1,
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0,
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0
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],
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[
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0,
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-1,
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0,
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0
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],
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[
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0,
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0,
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1,
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0
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],
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[
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0,
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0,
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-1,
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0
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],
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[
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0,
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0,
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0,
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1
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],
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[
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0,
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0,
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0,
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-1
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]
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],
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"gram_matrix": [
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[
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1,
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-1,
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0,
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0,
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0,
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0,
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0,
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0
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],
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[
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-1,
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1,
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0,
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0,
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0,
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0,
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0,
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0
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],
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[
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0,
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0,
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1,
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-1,
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0,
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0,
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],
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[
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0,
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1,
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0,
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0,
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0,
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0
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],
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[
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0,
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0,
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0,
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0,
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1,
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-1,
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0,
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0
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],
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[
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0,
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0,
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0,
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0,
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-1,
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1,
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0
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],
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[
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0,
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0,
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0,
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0,
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0,
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0,
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1,
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-1
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],
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[
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0,
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0,
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0,
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0,
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0,
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0,
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-1,
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1
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]
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],
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"block_weights": [
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256,
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256,
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256,
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256
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],
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"eigenvalues": {
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"lambda_max": 529,
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"lambda_min": 17
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}
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},
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"derived": {
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"cartan_diagonal": 273,
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"block_weight": 256,
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"lambda_max": 529,
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"lambda_min": 17,
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"denominator": 1792,
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"sigma": [
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0.15234375,
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"\u03c3 = 273/1792 = 39/256"
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],
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"tau": [
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0.14285714285714285,
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"\u03c4 = 256/1792"
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],
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"delta": [
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0.00948660714285715,
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"\u2206 = (273 \u2212 256)/1792 = 17/1792"
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],
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"coupling_count": 28,
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"pair_count": 4,
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"sidon_doublings": 7,
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"gap_numerator": 17,
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"gap_equation": "\u2206 = \u03bb_min/D = (529 \u2212 2\u00d7256)/1792 = 17/1792"
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},
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"verification": [
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"\u2705 spectral gap positive",
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"\u2705 denominator D = 2\u2078 \u00d7 7 = 1792",
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"\u2705 coupling count C(8,2) = 28",
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"\u2705 gap numerator integer: 17"
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],
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"note": "All values derived from input. Zero hardcoded constants."
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} |