# AP26 — DIVERGED, no source of record

**Checked 7 September 2026** by the paragraph-level test of record. The closest
candidate is `AP26_The_Surplus_FINAL.docx` (found in Formatted), and it is **not** the published
text: 2 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
AP26, 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 | `/AP26_The_Surplus.pdf` |
| sha256 | `0f1534bfa65ff9b0dbe33c13d1a2eef4fb6d6d12346f41198e74250a0725455d` |
| Closest candidate | `AP26_The_Surplus_FINAL.docx` (Formatted) — NOT of record |

## In the source, absent from the published paper

- For every L-record of the symmetric component, σ produces a corresponding P-record: these are the matter-antimatter pairs that annihilate. But the break ε has no corresponding P-record.
- Therefore: the energy E(ε) associated with the break has no P-sector counterpart. There is no antimatter for it to annihilate with. The surplus is topologically protected. ∎

## 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.*