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.
\ngeometric expressions rather than from external fitting parameters \u2014 is unchanged. v12 sharpens the implementation but the *approach* is the same.
\nc\u2081 = 0.250, c\u2082 = 0.625, c\u2083 = 1.000\u2014 derived correctly in the paper and remain canonical.
\nthe periodic table. The corrections changed individual misses but the bulk-match statistics held through v12.
\nconsistency, the Cycle 1 closure at \u03c6 \u2014 all unchanged.
\n2.625, 4.25). The correct cycle-2 values are 1.707 (Tribonacci substrate), 1.750 (early Tribonacci ratio), 1.839 (Tribonacci limit \u03c4). See the c-ladder correction note for the full derivation.
\nshift slightly under the corrected ladder. Predictions that used cycle-1 framerates (the bulk of the paper) are unaffected.
\nbest-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). v9's specific correction layers are documented stale.
\nTwo paths under consideration:
\n| Path | \nDescription | \nTrade-off | \n
|---|---|---|
| A. Revise in place | \nRe-publish Paper 5 with v12 ladder and a \"what changed\" appendix | \nMost thorough but requires full re-typeset; could take 2-3 days | \n
| B. Status-note approach | \nLeave Paper 5 as-is, publish this status note as the canonical reference for what's stale and what's solid | \nFaster, preserves the audit trail of how the work evolved | \n
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.
\nIf 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.
\nunaffected.
\nstructural factor in 5D interference is the geometric mechanism for the {7,9,11,13} intruder set).
\nIf 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.
\nIf you are evaluating Paper 5 *as a load-bearing reference for a prediction at d \u2265 4*: cross-check against the c-ladder correction and the audit trail before quoting numbers.
\nPaper 5 was written against cipher v9. Two refinements since publication \u2014 the cipher v9\u2192v12 progression (corrections hurt accuracy, pure geometry beats imposed adjustments) and the Fibonacci \u2192 Tribonacci c-ladder correction at dims 4\u20136 \u2014 leave most of the paper standing but mark a specific section stale.
\nSolid: cipher methodology, cycle-1 c-values (dims 1\u20133), 96.9% property match, the {2,3} organizing pair, crystallographic-restriction consistency.
\nStale: dims-4\u20136 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 \u2265 4 that pinned a specific c-value, and references to cipher v9 correction layers that v12 dropped.
\nRevision 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.
\nReaders using the paper as a load-bearing reference for any d \u2265 4 prediction should cross-check against the linked correction note and audit before quoting numbers. The cycle-1 (d \u2264 3) results stand as published.
", "see_also": [ "fibonacci-to-tribonacci-c-ladder-correction", "cipher-corrections-hurt-accuracy", "c-ladder-correction-trail" ], "cited_by": [ "paper-revision-sync-audit" ], "attachments": [ { "path": "papers/paper-5/index.html", "role": "paper", "description": "Paper 5 as currently published \u2014 pre-correction baseline" } ], "schema_version": "1.0", "generated_at": "2026-05-12T03:27:18.533879Z" }