Errata

Purpose

This page records substantial corrections to the published 2nd Edition of the Panta Rhei monograph series and its public companion surfaces. A correction appears here when it changes a registered theorem, a definition used downstream, a registry object, a citation target, or a public verification claim.

Purely typographical fixes are intentionally excluded from this page. The purpose is not to make ordinary copy-editing visible; it is to keep the public mathematical and verification record citeable.

Issued Errata

ERRATUM-001 — Book I, Chapter 27; Definition I.D19a; Theorem I.T05

Corrects the published prime-polarity definition. The original growth-comparison clauses do not partition the primes; the corrected classifier uses the Legendre symbol (2/p), aligning Book I with the Book III bipolar classifier.

Correction. Replace Definition I.D19a and the proof of I.T05 with the Legendre-symbol polarity definition and the corresponding partition theorem. Treat the former growth-rate discussion as heuristic motivation, not as the theorem’s classifier.

Book-specific errata page

ERRATUM-002 — Book III, Chapter 18; Definition III.D23; Theorem III.T13

Corrects the Jacobi-symbol convention used in the internal bipolar classifier derivation. Under the classical Jacobi convention, zero factors do not reduce to a single Legendre factor.

Correction. Introduce an explicit spectral Legendre convention for the CRT-local readout. The classifier and label-convergence conclusion remain unchanged; the derivation is reformulated.

Book-specific errata page

ERRATUM-003 — Book I, Chapter 24; Theorem I.T04

Tightens the Hyperfactorization Theorem statement. Conditions (i)-(iii) alone do not uniquely specify the ABCD tuple; maximal tetration height must be part of the admissibility condition.

Correction. Add the maximality clause already used by the greedy-peel construction and uniqueness proof. The theorem’s intended canonical decomposition remains unchanged.

Book-specific errata page

ERRATUM-004 — Panta Rhei Conspectus v1.1 PDF; TauLib trust-budget disclosure

Corrects the Conspectus PDF’s pre-refactor TauLib trust-budget language. The downloadable v1.1 PDF still describes the interim peer-review state; the pinned public TauLib release has since landed the refactor.

Correction. Read the current trust budget as 3 custom axioms and 0 sorry at the pinned TauLib release, with the former Book VII methodological markers represented as inspectable Commitment definitions. The Release Manifest is authoritative for current machine-checkable counts.

ERRATUM-005 — Book V Chapters 41, 50, 51, 53, and 56; QNM and cycle-delay Results pages

Corrects QNM and ringdown public language. The Kerr primary ringdown depends on remnant mass and spin; the tau prediction is the leading-order T² ratio f_(0,1)/f_(1,0)=ιτ^-1. The former echo/no-echo language is split into two categories: no exotic reflective-surface ECO echoes, but released T² cycle-delay/ringdown observables remain as topology-readout candidates. It also repairs generated-page contamination on QNM and cycle-delay prediction/falsification pages.

Correction. Update Book V source text, TauLib comments/projection labels, Corpus registry/results data, and public pages so QNM ratio direction, cycle-delay ratio direction, and echo terminology are consistent. Remove CKM/Wolfenstein and proton-radius bleed-through from QNM and cycle-delay pages. Public status remains released-corrected, not hidden or validated.

Book-specific errata page

Status Convention

• Active means the correction is citeable and should be used when reading or quoting the affected material.
• Superseded means a later erratum refines or replaces the correction while preserving the historical record.
• Applied means the correction has landed in a later print run, registry release, or verification artifact.

Citation Guidance

When citing affected material, cite the original book location and the relevant erratum ID together. Example: Book I, Theorem I.T05, as corrected by ERRATUM-001.

Projection Source

This page is rendered from Corpus governance metadata. The Publications repository mirrors generated errata snapshots for cloneable artifact provenance, but Corpus owns the semantic errata source.