# AP08 — DIVERGED, no source of record

**Checked 7 September 2026** by the paragraph-level test of record. The closest
candidate is `AP08_The_Identity_FINAL.docx` (found in Formatted), and it is **not** the published
text: 5 paragraph(s) in the source are absent from the
published PDF, and 0 published sentence(s) are absent from
the source.

**Until a matching source is produced, the published PDF's text is the source for
AP08, 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 | `/AP08_The_Identity.pdf` |
| sha256 | `1d28235296d1c04902119dc1de7722da7461a28abda9a4d9c44d570017b1d6d4` |
| Closest candidate | `AP08_The_Identity_FINAL.docx` (Formatted) — NOT of record |

## In the source, absent from the published paper

- Axiom S (Symmetry). Two disjoint sectors L and P with order-reversing involution σ. Underwrites the eye topology of section 7 (two curves meeting at the common point) and the structural framing of the condensate as the manifold that emerges from the symmetric/asymmetric structure.
- Axiom B (Unique Breaking). One element ε ∈ L with no σ-image; ν(ε) = 1. Under The Lock identification, ε = electron. Underwrites the matter-density identification at section 3.2 (every record involves an electron coupling event), the coefficient identification at section 5 (G = 2κ/me2), and the strong-field leakage at section 6.3 (the electron appears at the horizon).
- S (Symmetry). Two disjoint sectors L and P with order-reversing involution σ. Q(L) = Q(P) in the unbroken case.
- B (Unique Breaking). One element ε ∈ L with no σ-image. ν(ε) = 1. The break. Under The Lock: ε = electron.
- Two curves (the two sectors L and P from Axiom S, related by the involution σ) meet at a common point.

## In the published paper, absent from the source

*(none)*

*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.*