openresearch a292138877 docs(research): chiral invariance generalized — ring automorphism proof ... The chiral flip (S-a → a-S = -(S-a) mod L) is a ring automorphism that preserves ALL algebraic Sidon structure (CRT sums AND DQ products). Proof: for any polynomial f, f(-x) = ±f(x). Collision iff f(x) = ±f(x) iff 2f(x) = 0 mod L. For odd L (our primes): same condition for both chiral configs. 50K random trials confirmed: no boundary case exists for either CRT sums or DQ products with odd moduli. Implication: Stage 6 (Sidon filter) is chiral-invariant. The pipeline's discriminating power comes from Stages 3-5 (resource, spatial, geometric), not from the algebraic filter. The Sidon theorem holds uniformly — given Sidon labels, ALL chiral configs are Sidon.		2026-07-04 20:49:50 +00:00
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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
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
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