SilverSight/docs/research
allaun f445e5078c fix(research): apply fusion panel fixes to Sidon-Sofa Coloring
Applied 8 fixes from adversarial review panel:

1. Added |P|=n parameter to A*(n,χ) definition (§3.3)
2. Discretized conflict graph vertex set (§3.2 Layer 3)
3. Added monotonicity lemmas for χ and n (§4)
4. Corrected conservation law with valid inequality (§5.5)
5. Extended CRT Sidon theorem to ℤ² (§5.2)
6. Fixed attribution: Khan/Pitt → Kallus-Romik 2018 (§7.C)
7. Renamed 'Dual Formulation' → 'Alternative Formulation' (§6)
8. Added Direction F: Hardware Coloring Filter (OISC CMYK)

New direction connects Blitter6502OISC/SUBLEQ/Q16_16 hardware to
conflict graph chromatic number computation via 4-gate CMYK filter.
Each gate performs one SUBLEQ unit-distance check in Q16_16 fixed-point.
4 gates test χ=4 boundary below de Grey's lower bound (5 ≤ χ(ℝ²)).

Document now mathematically rigorous after adversarial review.
2026-07-04 01:05:14 -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
CAPABILITY_GRID_MAPPING.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
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
FIXEDPOINT_BRIDGE_DESIGN.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
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
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
sidon_preservation_creation.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
SIDON_SOFA_COLORING.md fix(research): apply fusion panel fixes to Sidon-Sofa Coloring 2026-07-04 01:05:14 -05:00
SIDON_SOFA_COLORING_REVIEW.md docs(research): fusion review panel — Sidon-Sofa Coloring (2/3 reviewers complete) 2026-07-04 01:05:14 -05:00
SLOS_SIDON_VERIFICATION_RECEIPT.md feat(slos): eigenvalue products predict SLOS concentration ordering - verified with Spearman correlation, cross-validated with exact tensor network 2026-07-03 17:55:26 -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