# n193 — Matter cannot leak: the topological baryon adjudicates the neutron-lifetime anomaly

**Date:** 2026-07-11 · **Method:** not a new mechanism — the *forced* consequence of the handle branch (n120–n121), aimed at the sharpest live anomaly it touches. This is the strongest kind of statement the framework can make: one it has no freedom to avoid.

## The structural commitment, restated

In the topological branch, baryon number is a homotopy class (a non-orientable handle), and changing a topological class requires **surgery** — which the cold vacuum cannot perform (surgery lives at crystallization temperatures; that is *why* the proton never decays, prediction 25). The consequence is broader than proton decay and has not been stated in full: **no baryon can transfer its class to any other sector, visible or dark, at any rate, in the cold vacuum.** The framework's own dark matter offers no loophole: windings (k-field topology) and handles (matter topology) are distinct families (n134), and inter-family conversion is surgery again. Matter cannot leak. Not "rarely" — the rate is structurally zero.

## The live anomaly this adjudicates: beam vs bottle

The neutron-lifetime discrepancy [numbers from training knowledge — verify against PDG before public use]: beam experiments (count decay protons) give τ ≈ 888.0 ± 2.0 s; bottle experiments (count surviving neutrons) give τ ≈ 877.75 ± 0.34 s. Gap: **10.25 s, 1.17%, ~5σ** — and its *sign* is exactly the dark-decay pattern: if ~1.15% of neutrons decayed invisibly (Fornal–Grinstein class, n → χ + …), bottles would see the faster total rate and beams the slower proton-only rate. This is a real, published new-physics interpretation of a standing anomaly.

**The framework is forced to bet against it — directionally and numerically:**

1. **There is no invisible branch (BR_dark = 0 exactly).** The true lifetime is the bottle value.
2. **The beam value will converge *downward* to ≈ 877.8 s** when its proton-counting systematics are found — not the bottle upward, not a split difference. (BL3 and successor beam experiments adjudicate this within a few years.)
3. Independent support the bet inherits: the axial coupling route (PERKEO III λ = |g_A/g_V| = 1.2756 with CKM unitarity) independently prefers τ_n ≈ 878–879 s — the bottle side. The framework did not choose this; it is forced to the side the g_A data already favors.

**Kills, pre-declared:** a confirmed invisible neutron-decay branch at any BR; equivalently, beam and bottle both confirmed correct with the gap intact. Either kills the topological baryon — and with it predictions 19, 25, the handle branch, and the fermion sector's architecture (T^l = −I, the regression suite's T3). This bet wagers a full wing of the theory.

## The family this generalizes to (matter-leak nulls, all forced by the same surgery argument)

- **n–n̄ oscillations: null forever** (class change ΔB = 2 is still surgery) — HIBEAM/NNBAR will tighten bounds and find nothing.
- **Mirror-neutron / hidden-sector portals (n → n′): null forever** — all disappearance searches.
- **Proton decay: null forever** (25, unchanged).
- **Dark-matter–baryon conversion (windings ↔ handles): zero** — no "dark baryogenesis" channel operates today.
- Contrast that makes it non-trivial: the framework *hosts* a dark sector and still forbids these — most dark-sector frameworks must tune portals away; here the absence is structural.

## Why this is the strong one

It is (i) **forced** — no parameter, no choice, the topology either conserves classes or the branch dies; (ii) **live** — a ~5σ anomaly with an active new-physics interpretation and funded experiments en route; (iii) **directional** — it names which number moves, which way, and to what value (beam ↓ to 877.8 s); (iv) **expensive if wrong** — it stakes the entire matter-topology wing, not a peripheral claim.

**Class: [speculative · pre-resolution] as a bet (the anomaly is post-data, the resolution direction is pre-data); the surgery argument [B — in-model theorem, cited premises]; numbers flagged for primary-source verification.**