---
id: paper-5-status-2026-05
type: paper_status
title: Paper 5 — Current Status (May 2026)
date_published: 2026-05-12
date_updated: 2026-05-12
project: paper_5
status: active
log_subtype: paper_revision_status
tags: [paper-5, status, cipher-v9, cipher-v12, revision-pending]
author: Jonathan Shelton
see_also:
  - fibonacci-to-tribonacci-c-ladder-correction
  - cipher-corrections-hurt-accuracy
  - c-ladder-correction-trail
attachments:
  - path: papers/paper-5/index.html
    role: paper
    description: Paper 5 as currently published — pre-correction baseline
---

## Author notes

Paper 5 was drafted against the cipher v9 framework. Two refinements since
publication require the paper to either be revised in place or to publish a
status note that points readers to the corrected derivations. This entry is
the status note.

### What in the paper is still solid

- **The cipher methodology** — building cycle-specific predictions from
  geometric expressions rather than from external fitting parameters — is
  unchanged. v12 sharpens the implementation but the *approach* is the
  same.
- **Cycle 1 (dims 1–3) c-values** — `c₁ = 0.250`, `c₂ = 0.625`, `c₃ = 1.000`
  — derived correctly in the paper and remain canonical.
- **The 96.9% property-match result** for the cipher v7/v8 sweep across
  the periodic table. The corrections changed individual misses but the
  bulk-match statistics held through v12.
- **The {2,3} organizing pair**, the crystallographic restriction theorem
  consistency, the Cycle 1 closure at φ — all unchanged.

### What in the paper is now stale

- **Dims 4–6 c-values.** The paper quotes the Fibonacci/8 ladder (1.625,
  2.625, 4.25). The correct cycle-2 values are 1.707 (Tribonacci substrate),
  1.750 (early Tribonacci ratio), 1.839 (Tribonacci limit τ). See the
  [c-ladder correction note](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)
  for the full derivation.
- **Any prediction at d ≥ 4** that *quoted* a c-value to one decimal will
  shift slightly under the corrected ladder. Predictions that used cycle-1
  framerates (the bulk of the paper) are unaffected.
- **Cipher v9 corrections** — the paper references cipher v9 as the
  best-performing version at time of writing. v12 beats v11 (and v9) on
  the same 107-element bench (82/107 clean vs 71/107 corrected, per the
  [cipher-corrections-hurt-accuracy note](/research/notes/cipher-corrections-hurt-accuracy.html)).
  v9's specific correction layers are documented stale.

### Revision plan

Two paths under consideration:

| Path | Description | Trade-off |
|---|---|---|
| **A. Revise in place** | Re-publish Paper 5 with v12 ladder and a "what changed" appendix | Most thorough but requires full re-typeset; could take 2-3 days |
| **B. Status-note approach** | Leave Paper 5 as-is, publish this status note as the canonical reference for what's stale and what's solid | Faster, preserves the audit trail of how the work evolved |

Current lean: **Path B**, on the same intellectual-honesty principle that
keeps the cipher v9 documents preserved-and-stale-tagged rather than
rewritten. Critics get the original paper, the correction note, and the
audit trail; the historical record is the data.

If a reviewer or collaborator needs Paper 5 numerically updated for a
specific calculation, Path A becomes the priority and gets executed for
that calculation's scope.

### Downstream impact

- The Hubble-tension headline calculation (d_CMB ≈ 2.95, cycle 1) is
  unaffected.
- UHECR-as-d=5 analysis touches the corrected zone and will be rerun.
- Magic-numbers derivation strengthens under the correction (the √7
  structural factor in 5D interference is the geometric mechanism for
  the {7,9,11,13} intruder set).

### Open question for the reader

If you are evaluating Paper 5 *as a standalone artifact*: the cycle-1
results (the bulk) stand. The cycle-2 quotations (a small section) should
be read alongside the c-ladder correction note. The paper's *method* is
intact.

If you are evaluating Paper 5 *as a load-bearing reference for a
prediction at d ≥ 4*: cross-check against the
[c-ladder correction](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)
and the [audit trail](/research/audits/c-ladder-correction-trail.html)
before quoting numbers.

## Summary

Paper 5 was written against cipher v9. Two refinements since publication —
the cipher v9→v12 progression (corrections hurt accuracy, pure geometry
beats imposed adjustments) and the Fibonacci → Tribonacci c-ladder
correction at dims 4–6 — leave most of the paper standing but mark a
specific section stale.

**Solid:** cipher methodology, cycle-1 c-values (dims 1–3), 96.9% property
match, the {2,3} organizing pair, crystallographic-restriction consistency.

**Stale:** dims-4–6 c-values (the paper quotes the Fibonacci/8 ladder; the
cycle-2 values from Tribonacci are 1.707 / 1.750 / 1.839), any prediction
at d ≥ 4 that pinned a specific c-value, and references to cipher v9
correction layers that v12 dropped.

**Revision approach (provisional):** publish this status note as the
canonical reference for what changed, rather than re-typesetting the paper.
Same intellectual-honesty principle that keeps the historical cipher v9
documents preserved-and-stale-tagged rather than rewritten. The audit
trail *is* the record.

Readers using the paper as a load-bearing reference for any d ≥ 4
prediction should cross-check against the linked correction note and
audit before quoting numbers. The cycle-1 (d ≤ 3) results stand as
published.