openresearch
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6c942c8db9
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docs(research): THE UNIFIED THEORY — definitive synthesis
The complete theoretical framework tying together all SilverSight
research threads into one document:
I. Algebraic: CRT torus embedding = toroidal/poloidal (Elsasser 1946)
→ dual quaternions → Sidon orthogonality (proven) → n/2 channels
→ CRT replaces CMIX mixer algebraically
II. Geometric: chiral on S² (phase → chirality → quaternion → Rossby)
→ 4 ChiralLabel types × 8 strands = 4^8 = 65K configs
→ golden angle winding mod 28 (28 exotic classes)
→ rendering equation = observerless observer (fixed-point)
III. Physical: HCMR (self-loop = Sidon collision rate)
→ Rossby/Kelvin regime (drift=0 → Kelvin → stuck → COUCH fails)
→ conservation law (compression dead 8×, filtering alive)
IV. Computational: six-stage pipeline (BraidStorm → TreeBraid →
AngrySphinx → Packer → COUCH → Sidon), module-swappable, GPU
V. Quantum: QUBO/QAOA bridge (COUCH = tractability certificate,
quaternion gates, golden angle architecture, 65× reduction)
VI. Formal: 11 proven theorems (0 sorries) across 6 Lean modules
VII. Attack plan: verify → GPU → QUBO/QAOA → formal → scale
VIII. Measured vs speculative vs open
IX. Principle: 'Filter, don't compress.'
Supersedes all individual research docs — this is the synthesis.
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2026-07-04 21:14:34 +00:00 |
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