# AP05 — DIVERGED, no source of record

**Checked 7 September 2026** by the paragraph-level test of record. The closest
candidate is `AP05_The_Break_FINAL.docx` (found in Formatted), and it is **not** the published
text: 3 paragraph(s) in the source are absent from the
published PDF, and 1 published sentence(s) are absent from
the source.

**Until a matching source is produced, the published PDF's text is the source for
AP05, and the AP30 republish procedure is not available to it.** No file is
copied into this folder, so nothing here can be harvested by mistake.

| | |
|---|---|
| Published PDF | `/AP05_The_Break.pdf` |
| sha256 | `3185b76ba1f70139ac7fe18a156cbf33a40ee96d774439b8df57ae466211889b` |
| Closest candidate | `AP05_The_Break_FINAL.docx` (Formatted) — NOT of record |

## In the source, absent from the published paper

- The specific empirical mapping from [K] = (ε/lΣ) · h on Σ to the post-expansion curvature perturbation spectrum PR(k) is itself an open derivation, held without claiming a separate debt (see section 0.7). Once B-JP is solved, the mapping becomes derivable; once the mapping is derived, KS-B.2 becomes operationally testable against the measured spectrum (CMB anisotropies, near-scale-invariance, tilt
- The spectrum mapping from [K] to PR(k). Even with B-JP solved, the explicit mapping from the boundary mismatch [K] = (ε/lΣ) · h on Σ to the post-expansion curvature perturbation spectrum PR(k) is open derivation work. KS-B.2 is staged on this mapping. Until the mapping is derived, KS-B.2 cannot be operationally tested.
- The spectrum mapping from [K] = (ε/lΣ) · h on Σ to the post-expansion curvature perturbation spectrum PR(k). Open derivation downstream of B-JP. KS-B.2 staged on this mapping.

## In the published paper, absent from the source

- curvature mismatch (ε/ Σ) · h - not by dynamical evolution through Σ.

*Each item is either a pre-publication draft difference, which is nothing, or a paragraph G edited after publication, which becomes a dated note. That is G's reading to make.*