{
  "id": "c-ladder-correction-trail",
  "type": "audit",
  "title": "Audit \u2014 c-Ladder Correction Trail (Fibonacci \u2192 Tribonacci)",
  "status": "confirmed",
  "project": "cipher_v12",
  "date_published": "2026-05-11",
  "date_updated": "2026-05-12",
  "tags": [
    "audit",
    "cipher",
    "c-ladder",
    "Tribonacci",
    "correction-trail",
    "stale-tagging"
  ],
  "author": "Jonathan Shelton",
  "log_subtype": "internal_audit",
  "url": "https://prometheusresearch.tech/research/audits/c-ladder-correction-trail.html",
  "source_markdown_url": "https://prometheusresearch.tech/research/_src/audits/c-ladder-correction-trail.md.txt",
  "json_url": "https://prometheusresearch.tech/api/entries/c-ladder-correction-trail.json",
  "summary_excerpt": "This audit closes the loop on the c-ladder correction. The research note explains *what* changed (cycle-specific recurrence engines replace a universal Fibonacci/8 formula for dims 4-6). The audit checks *whether the historical record is clean* now that the correction is adopted \u2014 stale sources tagg...",
  "frontmatter": {
    "id": "c-ladder-correction-trail",
    "type": "audit",
    "title": "Audit \u2014 c-Ladder Correction Trail (Fibonacci \u2192 Tribonacci)",
    "date_published": "2026-05-11",
    "date_updated": "2026-05-12",
    "project": "cipher_v12",
    "status": "confirmed",
    "log_subtype": "internal_audit",
    "tags": [
      "audit",
      "cipher",
      "c-ladder",
      "Tribonacci",
      "correction-trail",
      "stale-tagging"
    ],
    "author": "Jonathan Shelton",
    "audited_entry": [
      "fibonacci-to-tribonacci-c-ladder-correction"
    ],
    "see_also": [
      "fibonacci-to-tribonacci-c-ladder-correction",
      "cipher-corrections-hurt-accuracy"
    ],
    "attachments": []
  },
  "body_markdown": "\n## Author notes\n\nThis audit traces the c-ladder correction from first identification through\ndocumentation hand-off. The audit's purpose is not to relitigate the\ncorrection (that's already settled \u2014 see the\n[research note](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html))\nbut to verify that the *historical record* is clean: every stale source is\ntagged, every canonical source has a forward pointer to the correct\nderivation, and no downstream paper or simulation script silently uses the\nold values.\n\n### Findings\n\n| # | Finding | Severity | Status |\n|---|---|---|---|\n| F1 | cipher_v9 \u00a7III propagates Fibonacci/8 c-values for dims 4-6 (1.625, 2.625, 4.25) \u2014 these are wrong under the cycle-specific framework | High | Documented stale; preserved as audit trail |\n| F2 | `tlt notes/theory/dimensional_formulas_extrapolated.txt` extends Fibonacci/8 universally \u2014 same root cause as F1 | High | Documented stale |\n| F3 | cipher v10 and v11 carried the same stale ladder forward through inheritance from v9 | High | Marked superseded; v12 uses corrected ladder |\n| F4 | Hubble-tension analysis touches cosmic-epoch dimensions; verified d_CMB \u2248 2.95 stays in cycle 1 so headline calculation does not need rerun | Low | Cleared |\n| F5 | UHECR analysis as d=5 events DOES touch the correction zone | Medium | Pending rerun against corrected ladder |\n| F6 | Paper drafts that referenced cipher v9 \u00a7III numerically need a sync pass | Medium | Tracked in `CORRECTIONS_2026-05-11_c_ladder_and_dim_ratios.md`; paper 2, 3, 5 candidates |\n| F7 | The framework absorbed the correction as a *refinement* not a fit \u2014 cycle orders themselves being Fibonacci is the unifying principle | Positive | Confirms intellectual-honesty discipline |\n\n### Resolution criteria\n\nFor the audit to close cleanly:\n1. \u2705 Stale-source list published with forward pointers (done \u2014 `CORRECTIONS_2026-05-11_c_ladder_and_dim_ratios.md`)\n2. \u2705 Cipher v12 in canonical use; older versions visibly tagged superseded\n3. \u23f3 Paper revision sync \u2014 papers 2, 3, 5 reviewed and either re-published with correction notes or marked status-pending\n4. \u23f3 UHECR (F5) analysis rerun against corrected cycle-2 ladder\n5. \u2705 Magic-numbers derivation re-checked under new framework \u2014 confirmed: {7,9,11,13} intruders still yield 28, 50, 82, 126 because {7} is now the *first* frustration overtone in cycle 2 and \u221a7 emerges as the 5D structural factor (this strengthens the result rather than weakening it)\n\n### Process notes\n\nThe correction was caught not by external review but by the act of\ncompleting the 5D and 6D ratio derivations *from scratch*. The framework\ndiscipline of \"derive each cycle's recurrence engine independently rather\nthan extrapolating a universal formula\" is what produced the catch. This\nis an instance of the design pattern working as intended: the rule against\nimposing corrections, paired with the rule of cycle-specific derivation,\nsurfaces stale extrapolations as a side-effect of doing the work properly.\n\nThe historical Fibonacci-ladder documents are **preserved unchanged** and\ntagged stale rather than rewritten silently. The audit trail is the\nintellectual-honesty record \u2014 what we believed, when we believed it, what\nmade us change our minds. Future critics get the full provenance.\n\n## Summary\n\nThis audit closes the loop on the c-ladder correction. The\n[research note](/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html)\nexplains *what* changed (cycle-specific recurrence engines replace a\nuniversal Fibonacci/8 formula for dims 4-6). The audit checks *whether\nthe historical record is clean* now that the correction is adopted \u2014\nstale sources tagged, canonical sources pointed to, downstream impact\nmapped.\n\nSix findings, four cleared, two pending. The two pending items are\n(a) syncing paper revisions to reference the corrected ladder and (b)\nrerunning the UHECR analysis (which sits at d=5 and therefore lives in\ncycle 2). Neither blocks current work \u2014 the headline Hubble-tension\ncalculation lives in cycle 1 and is unaffected.\n\n**The positive finding:** the correction *strengthened* the magic-numbers\nderivation. The \u221a7 structural factor in 5D interference, combined with {7}\nbeing the first frustration overtone in cycle 2, explains *why* {7} appears\nfirst in the {7,9,11,13} intruder set that produces nuclear magic numbers\n28, 50, 82, 126. The cycle framework gives a geometric mechanism for the\nmagic numbers, where before there was only a numerical match.\n\nThis audit confirms the framework's discipline: corrections don't get\nimposed, mechanisms get replaced, and when a replacement lands the result\nshould be a *sharper* derivation \u2014 not a patch.\n",
  "body_html": "<h2>Author notes</h2>\n<p>This audit traces the c-ladder correction from first identification through documentation hand-off. The audit's purpose is not to relitigate the correction (that's already settled \u2014 see the <a href=\"/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html\">research note</a>) but to verify that the *historical record* is clean: every stale source is tagged, every canonical source has a forward pointer to the correct derivation, and no downstream paper or simulation script silently uses the old values.</p>\n<h3>Findings</h3>\n<table class=\"entry-table\">\n<thead><tr>\n<th>#</th>\n<th>Finding</th>\n<th>Severity</th>\n<th>Status</th>\n</tr></thead>\n<tbody>\n<tr>\n<td>F1</td>\n<td>cipher_v9 \u00a7III propagates Fibonacci/8 c-values for dims 4-6 (1.625, 2.625, 4.25) \u2014 these are wrong under the cycle-specific framework</td>\n<td>High</td>\n<td>Documented stale; preserved as audit trail</td>\n</tr>\n<tr>\n<td>F2</td>\n<td><code>tlt notes/theory/dimensional_formulas_extrapolated.txt</code> extends Fibonacci/8 universally \u2014 same root cause as F1</td>\n<td>High</td>\n<td>Documented stale</td>\n</tr>\n<tr>\n<td>F3</td>\n<td>cipher v10 and v11 carried the same stale ladder forward through inheritance from v9</td>\n<td>High</td>\n<td>Marked superseded; v12 uses corrected ladder</td>\n</tr>\n<tr>\n<td>F4</td>\n<td>Hubble-tension analysis touches cosmic-epoch dimensions; verified d_CMB \u2248 2.95 stays in cycle 1 so headline calculation does not need rerun</td>\n<td>Low</td>\n<td>Cleared</td>\n</tr>\n<tr>\n<td>F5</td>\n<td>UHECR analysis as d=5 events DOES touch the correction zone</td>\n<td>Medium</td>\n<td>Pending rerun against corrected ladder</td>\n</tr>\n<tr>\n<td>F6</td>\n<td>Paper drafts that referenced cipher v9 \u00a7III numerically need a sync pass</td>\n<td>Medium</td>\n<td>Tracked in <code>CORRECTIONS_2026-05-11_c_ladder_and_dim_ratios.md</code>; paper 2, 3, 5 candidates</td>\n</tr>\n<tr>\n<td>F7</td>\n<td>The framework absorbed the correction as a *refinement* not a fit \u2014 cycle orders themselves being Fibonacci is the unifying principle</td>\n<td>Positive</td>\n<td>Confirms intellectual-honesty discipline</td>\n</tr>\n</tbody></table>\n<h3>Resolution criteria</h3>\n<p>For the audit to close cleanly: 1. \u2705 Stale-source list published with forward pointers (done \u2014 <code>CORRECTIONS_2026-05-11_c_ladder_and_dim_ratios.md</code>) 2. \u2705 Cipher v12 in canonical use; older versions visibly tagged superseded 3. \u23f3 Paper revision sync \u2014 papers 2, 3, 5 reviewed and either re-published with correction notes or marked status-pending 4. \u23f3 UHECR (F5) analysis rerun against corrected cycle-2 ladder 5. \u2705 Magic-numbers derivation re-checked under new framework \u2014 confirmed: {7,9,11,13} intruders still yield 28, 50, 82, 126 because {7} is now the *first* frustration overtone in cycle 2 and \u221a7 emerges as the 5D structural factor (this strengthens the result rather than weakening it)</p>\n<h3>Process notes</h3>\n<p>The correction was caught not by external review but by the act of completing the 5D and 6D ratio derivations *from scratch*. The framework discipline of \"derive each cycle's recurrence engine independently rather than extrapolating a universal formula\" is what produced the catch. This is an instance of the design pattern working as intended: the rule against imposing corrections, paired with the rule of cycle-specific derivation, surfaces stale extrapolations as a side-effect of doing the work properly.</p>\n<p>The historical Fibonacci-ladder documents are <strong>preserved unchanged</strong> and tagged stale rather than rewritten silently. The audit trail is the intellectual-honesty record \u2014 what we believed, when we believed it, what made us change our minds. Future critics get the full provenance.</p>\n<h2>Summary</h2>\n<p>This audit closes the loop on the c-ladder correction. The <a href=\"/research/notes/fibonacci-to-tribonacci-c-ladder-correction.html\">research note</a> explains *what* changed (cycle-specific recurrence engines replace a universal Fibonacci/8 formula for dims 4-6). The audit checks *whether the historical record is clean* now that the correction is adopted \u2014 stale sources tagged, canonical sources pointed to, downstream impact mapped.</p>\n<p>Six findings, four cleared, two pending. The two pending items are (a) syncing paper revisions to reference the corrected ladder and (b) rerunning the UHECR analysis (which sits at d=5 and therefore lives in cycle 2). Neither blocks current work \u2014 the headline Hubble-tension calculation lives in cycle 1 and is unaffected.</p>\n<p><strong>The positive finding:</strong> the correction *strengthened* the magic-numbers derivation. The \u221a7 structural factor in 5D interference, combined with {7} being the first frustration overtone in cycle 2, explains *why* {7} appears first in the {7,9,11,13} intruder set that produces nuclear magic numbers 28, 50, 82, 126. The cycle framework gives a geometric mechanism for the magic numbers, where before there was only a numerical match.</p>\n<p>This audit confirms the framework's discipline: corrections don't get imposed, mechanisms get replaced, and when a replacement lands the result should be a *sharper* derivation \u2014 not a patch.</p>",
  "see_also": [
    "fibonacci-to-tribonacci-c-ladder-correction",
    "cipher-corrections-hurt-accuracy"
  ],
  "cited_by": [
    "cipher-version-progression-audit",
    "paper-5-status-2026-05",
    "paper-revision-sync-audit",
    "tribonacci-refinement-audit"
  ],
  "attachments": [],
  "schema_version": "1.0",
  "generated_at": "2026-05-12T03:27:18.533879Z"
}