# AP23 — DIVERGED, no source of record

**Checked 7 September 2026** by the paragraph-level test of record. The closest
candidate is `AP23_The_Single_Record_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 0 published sentence(s) are absent from
the source.

**Until a matching source is produced, the published PDF's text is the source for
AP23, 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 | `/AP23_The_Single_Record.pdf` |
| sha256 | `72432989bfbe83d8409388f29288586244841ea080d0725fb1f598551c688f27` |
| Closest candidate | `AP23_The_Single_Record_FINAL.docx` (Formatted) — NOT of record |

## In the source, absent from the published paper

- HA ⊗ HB - the tensor product of Hilbert spaces. Combines degrees of freedom algebraically; does not embed them into spacetime.
- The tensor product HA ⊗ HB combines degrees of freedom; it does not embed them into spacetime. Spatial separation is a property of the manifold, not of the Hilbert space.
- Proposition 1 (Single Record). Let |AB⟩ ∈ HA ⊗ HB be an entangled (non-separable) state. Then the actualisation of |AB⟩ is a single record-writing event. The record determines the outcomes for all subsystems simultaneously.

## 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.*
