# 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.