# Republish AP28 — The Constant — FINAL v1.0 · dated notes 7 and 11 September 2026

The locked body is untouched. The notes of 11 September are appended under the notes of 7 September, after the section that closes the argument. Verified after the build: the source of record placed beside this note reproduces the new PDF paragraph for paragraph, **every body sentence of the paper as published before these notes were appended is present in the new PDF** — 0 lost, checked sentence by sentence with running heads, page numbers and Contents stripped — and each of the 15 Contents entries names the page its heading prints on.

## The published files, all kept

*Beside, never replaced* applies to the rendered PDF as well as the text.

| | file | sha256 | pages |
|---|---|---|---|
| **published 7 – 10 Sep 2026 (notes 1–3)** | `proofs/instruments/AP28/AP28_The_Constant_FINAL_v1_0_notes_1to3_published_2026-09-07.pdf` | `f16358472e4a316d179ae82c6a1de35c2e302fbd7d63adaae83179fc7cd9922e` | 34 |
| **published from 11 Sep 2026 (notes 1–9)** | `/AP28_The_Constant.pdf` | `b0fb5f4c7cd3cfa393d2533163f6801abe174a348b48386a3afba0d6c920b2a3` | 35 |

**The outgoing digest is cited by:** `proofs/instruments/AP28/NOTE_REPUBLISH_2026-09-07.md`, `proofs/instruments/AP28/SOURCE_OF_RECORD.md` — frozen files where they are frozen, not edited. The digest resolves to the preserved file above, kept at a stable path for that reason.

## The notes, for the record

> 11 September 2026. Six further matters of record, from the four papers locked this day (AP50–AP53). None alters the body above.
>
> 4. §4's sentence “This is not a physical assumption. It is a mathematical fact about independent events” is withdrawn. The conjunction at the neck (product over sum) and the completed exchange (α, not a single vertex) go in. The worth α is named as the identification (AP50 §5).
>
> 5. §5, Proposition 4: Steps 2 to 4 are superseded. The neck is not a puncture through the actualised side; it is a ring, by ruling. The conclusion stands on AP50 §2, with its debt paid.
>
> 6. §0.7, §5 (the note under Proposition 4), KS-R.9 and the conditionality footer: “the 0.69% agreement supports it” is withdrawn at each locus. The sub-debt is paid on the identity of the neck with the grain and the grain’s radius as the unit. The elimination table of AP50 §2 is entered beside it as record, its order disclosed.
>
> 7. §5, Proposition 1, Reading 5: c² = α/β is corrected to c² = β/α.
>
> 8. §6: “the one measured input is α_em itself” is narrowed to one measured dimensionless input.
>
> 9. KS-R.8b, KS-R.8c and KS-R.8d are sharpened, as the Master Kill Switch Registry v5.31 prints them.
>

Listing line: **AP28 · The Constant · FINAL v1.0 · dated notes 7 and 11 September 2026**

Ruled at the author's word, 11 September 2026 (`05_Dated_notes.md`, the wave of the four).

*A locked body is never edited, replaced or removed — corrections go beside it by dated note. A lemma that must be rewritten becomes v2.0 with v1.0 kept beside it.*