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openresearch 6c942c8db9 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.
2026-07-04 21:14:34 +00:00
..
AUTOPROOF_INFRASTRUCTURE.md docs: document autoproof infrastructure + update plan 2026-07-04 02:42:43 -05:00
braid_group_action.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
BRAIDSTORM_TREEBRAID_COUCH.md docs(research): BraidStorm × TreeBraid × COUCH chiral batch pipeline 2026-07-04 19:38:41 +00:00
CAPABILITY_GRID_MAPPING.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
CHIRAL_BATCH_ENCODING.md docs(research): BraidStorm × TreeBraid × COUCH chiral batch pipeline 2026-07-04 19:38:41 +00:00
CHIRAL_CRT_MULTIPLEXING.md docs(research): chiral CRT multiplexing — Qwen 3.7 Max formalization 2026-07-04 19:42:07 +00:00
CHIRAL_INVARIANCE_FINDING.md docs(research): chiral invariance — CRT Sidon check is chiral-invariant 2026-07-04 20:35:35 +00:00
CHIRAL_INVARIANCE_GENERALIZED.md docs(research): chiral invariance generalized — ring automorphism proof 2026-07-04 20:49:50 +00:00
CHIRAL_QUBO_QAOA.md docs(research): chiral pipeline × QUBO/QAOA — quantum bridge 2026-07-04 21:10:52 +00:00
COLLECTIVE_INTELLIGENCE_OPTIMIZATION.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
COMPRESSION_HONEST_FINDINGS.md docs(compression): add pi-as-tape-LUT coda (offset = data size, base conversion) 2026-07-03 15:56:01 -05:00
CONSERVATION_LAW_CORRECTION.md feat: implement CMYK coloring generator, autoproof infrastructure, and conservation fix 2026-07-04 01:05:14 -05:00
FIXEDPOINT_BRIDGE_DESIGN.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
GERVER_SIDON_DESIGN.md feat: q-profile sweep + Gerver Sidon design + report 2026-07-04 14:50:28 +00:00
HCMR_CRT_MULTIPLEXER.md docs(research): HCMR × chiral CRT multiplexer — performance model 2026-07-04 19:46:15 +00:00
INVARIANT_COMPUTATION_GEOMETRY.md docs: invariant computation geometry — the unifying vision 2026-07-03 22:08:56 +00:00
iteration_dag.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
iteration_regime.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
MERGED_O1_TRANSFORM.md docs: explore merged O(1) transform — DNA as unified search-reconstruct-verify 2026-07-03 21:58:32 +00:00
NEXT_STEPS_PLAN.md docs: document autoproof infrastructure + update plan 2026-07-04 02:42:43 -05:00
O1_TRANSFORMS.md docs: document three O(n)→O(1) transforms + unification analysis 2026-07-03 21:54:46 +00:00
OCTAGON_PRINCIPLE.md docs: formal literature — octagon question answered at O(n^2) 2026-07-03 21:49:45 +00:00
PRIME_SIDON_NEGATIVE_RESULT.md chore(prime-sidon): documented negative result — primes indistinguishable from random in Sidon sum-degeneracy 2026-07-03 18:16:42 -05:00
REACTION_PRIMES.md docs: reaction primes — algebraic irreducibility for DNA computation 2026-07-03 22:00:21 +00:00
RENDERING_EQUATION_OBSERVERLESS.md docs(research): rendering equation as observerless observer 2026-07-04 20:00:51 +00:00
sidon_preservation_creation.md feat(lean): modular Sidon preservation theorem + meta-review fixes 2026-07-04 01:05:15 -05:00
SIDON_SOFA_COLORING.md fix(research): remove Direction F (OISC CMYK) — references abandoned infrastructure 2026-07-04 01:05:14 -05:00
SIDON_SOFA_COLORING_REVIEW.md docs: add SLOS disclaimer + clarify review count 2026-07-04 02:39:57 -05:00
SIX_STAGE_SEARCH_ENGINE.md docs(research): six-stage resource-aware search engine 2026-07-04 20:18:21 +00:00
SLOS_SIDON_VERIFICATION_RECEIPT.md feat(lean): modular Sidon preservation theorem + meta-review fixes 2026-07-04 01:05:15 -05:00
SPHERICAL_CHIRAL_CRT.md docs(research): spherical chiral CRT — labels on S² 2026-07-04 20:52:52 +00:00
TOROIDAL_POLOIDAL_REFINEMENT.md feat: import photonic Sidon search from special branch 2026-07-04 02:27:40 -05:00
unified_crt_torus_dag.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
UNIFIED_THEORY.md docs(research): THE UNIFIED THEORY — definitive synthesis 2026-07-04 21:14:34 +00:00