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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
..
BRAIDSTORM_TREEBRAID_COUCH.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
CHIRAL_BATCH_ENCODING.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
CHIRAL_CRT_MULTIPLEXING.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
CHIRAL_QUBO_QAOA.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
HCMR_CRT_MULTIPLEXER.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
README.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
RENDERING_EQUATION_OBSERVERLESS.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00
SPHERICAL_CHIRAL_CRT.md fix: agent-reviewed Lean fixes + reorganize rejected theories 2026-07-04 22:28:09 +00:00

README.md

failed/ — Rejected or Disproven Research Docs

This directory holds research notes whose central claims have been rejected or disproven by measurement or by the adversarial review. They are kept here (rather than deleted) so the reasoning, and the reason it failed, stays in the record.

Each file has a rejection header at the top of the form:

**STATUS: REJECTED** — moved to failed/ on 2026-07-04
**Reason:**   <specific finding that killed it>
**Receipt:**  <which test / review section produced the kill>

What killed most of these

The single most decisive result is the C3 run 019f2f07: across 64 chiral configurations, the Sidon output was identical in every case. In other words, chiral permutation is position-invariant — chirality does not discriminate Sidon sets. This collapses an entire family of "chiral multiplexing / chiral batch / chiral CRT" theories, because their putative multiplexing gain (n/2 channels, 256 configs, etc.) reduces to one channel.

See ../ENCODE_ENGINE_NECESSITY.md and ../CHIRAL_INVARIANCE_FINDING.md for the measured result, and ../UNIFIED_THEORY_ADVERSARIAL_REVIEW.md for the full review.

Inventory

File Reason
CHIRAL_BATCH_ENCODING.md Chiral discrimination of Sidon is FALSE — position-invariant (C3 receipt).
BRAIDSTORM_TREEBRAID_COUCH.md Pipeline throughput numbers are GUESSES; chiral invariance kills the premise (C3 receipt).
HCMR_CRT_MULTIPLEXER.md "Degree on S²" is INVENTED — Rossby drift is scalar, not a winding number; no receipt.
SPHERICAL_CHIRAL_CRT.md "Labels on S²" is FALSE — CRT labels are integers in Z, not points on S².
CHIRAL_QUBO_QAOA.md QUBO/QAOA bridge is ENTIRELY SPECULATIVE — no experiment, no circuit.
RENDERING_EQUATION_OBSERVERLESS.md Rendering-equation correspondence is an ANALOGY, not a theorem (fixed-point triviality).
CHIRAL_CRT_MULTIPLEXING.md "n/2 orthogonal channels" is RENAMED Sidon; "CRT replaces mixer" UNTESTED (C3 receipt).

Not here (kept in ../ — these stand)

These docs contain measured results or proven theorems and were not moved:

  • CHIRAL_INVARIANCE_FINDING.md — measured, 50K trials
  • CHIRAL_INVARIANCE_GENERALIZED.md — proven, ring automorphism
  • ENCODE_ENGINE_NECESSITY.md — measured, C3 receipt
  • UNIFIED_THEORY_ADVERSARIAL_REVIEW.md — the review itself
  • ATTACK_PLAN.md — the test plan
  • COMPLETE_TEST_MATRIX.md — the test matrix
  • TOROIDAL_POLOIDAL_REFINEMENT.md — measured, q-profile sweep
  • PIPELINE_MATH_REFINEMENT.md — external repo analysis
  • GERVER_SIDON_DESIGN.md — design doc, honestly assessed as "long shot"
  • SIX_STAGE_SEARCH_ENGINE.md — design (with a note that C3 kills the chiral stages)

Note on DUAL_QUATERNION_SIDON_FILTER.md

This file was listed for rejection but does not exist in the repository. The dual-quaternion claim lives in ../UNIFIED_THEORY.md §I.3, which the adversarial review flags as FALSE (integers ≠ unit quaternions). It is not moved here because UNIFIED_THEORY.md is the parent doc and was not in the move list — its §I.3 should be treated as rejected in place.