SilverSight/docs/research
openresearch 2f0328602f fix: agent-reviewed Lean fixes + reorganize rejected theories
Three agents reviewed and repaired:

1. CacheSieve.lean (7 errors fixed):
   - Rewrote shouldAdmit (removed head!/match, both branches were true)
   - Fixed evictVictim type mismatch (Option CacheLine → Option ℕ)
   - Removed sorry from evict_prefers_reset (proved properly)
   - Removed excess omega calls (simp already closed goals)

2. HCMR.lean (3 errors fixed):
   - Removed excess omega after simp (no goals to solve)
   - Downgraded ring_fastest_subleq_avx from > to ≥ (theorem was FALSE
     for baseRate=1 due to integer truncation: 0 > 0 fails)
   - Used Nat.div_le_div_right instead of omega (nonlinear division)

3. Blitter6502OISC.lean (2 issues fixed):
   - Removed redundant rw [if_pos rfl] (simp already closed)
   - Downgraded ring_faster_than_subleq_blitter from > to ≥

4. CRTSidonN.lean (2 issues fixed):
   - Fixed wrong lemma name (Nat.sub_le_sub_left → direct omega)
   - Replaced nlinarith with Nat.mul_le_mul_left

5. YangMillsPerformance.lean: 1 sorry flagged (compression_overhead_bounded)
   nlinarith-on-division fragility flagged but not fixed

6. WorkloadTestbench.lean: depends on CacheSieve (now fixed)
   excess omega flagged but not fixed

Reorganized docs:
- 7 rejected theory docs moved to docs/research/failed/
  (dual quaternion, chiral batch, BraidStorm×TreeBraid×COUCH,
   HCMR multiplexer, spherical chiral, QUBO/QAOA, rendering equation)
- Each has STATUS: REJECTED header with reason and receipt
- failed/README.md created with inventory
- SIX_STAGE_SEARCH_ENGINE.md: added C3-kill note

Rejected because:
- Dual quaternion algebra wrong (integers ≠ unit quaternions)
- Chiral discrimination of Sidon FALSE (C3: position-invariant)
- 'Degree on S²' invented (Rossby drift is scalar sum)
- QUBO/QAOA bridge entirely speculative
- Rendering equation analogy not theorem
- 'n/2 channels' is renamed Sidon, not new
2026-07-04 22:28:09 +00:00
..
failed fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
ATTACK_PLAN.md docs(research): attack plan — from suspect to receipt 2026-07-04 21:23:01 +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
CAPABILITY_GRID_MAPPING.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
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
COMPLETE_TEST_MATRIX.md docs(research): complete test matrix — 42 tests, every assumption 2026-07-04 21:34:17 +00:00
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
ENCODE_ENGINE_NECESSITY.md docs: encode engine necessity + modularity principle 2026-07-04 21:30:32 +00:00
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
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
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 fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +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
UNIFIED_THEORY.md docs(research): THE UNIFIED THEORY — definitive synthesis 2026-07-04 21:14:34 +00:00
UNIFIED_THEORY_ADVERSARIAL_REVIEW.md docs(research): adversarial review of unified theory — ~30% correct 2026-07-04 21:19:34 +00:00