# n195 — The Fierz–Pauli gate: the eighth critique adopted as the radiative sector's frozen program

**Date:** 2026-07-11 · **Source:** eighth external critique — the ten-point program "from polarization counting to complete dynamical equations." **Action:** accepted in full; formalized as `gates/fierz-pauli.json` (sha256 `c87a8d19…bfed8`, frozen before any leg is attempted). The critique's boxed statement is adopted verbatim as the sector's epigraph: **two modes ≠ a relativistic theory.**

## Triage of the ten points against standing assets

| # | Demand | What exists | What is owed (all of it) |
|---|---|---|---|
| 1 | δk → g_μν with h₀₀, h₀ᵢ, h_ij | h₀₀: the clock sector (mechanism 4); h_ij: the edge sector | the map itself, stated first; h₀ᵢ constructed or their absence derived — **nothing on gravito-magnetism exists** |
| 2 | linearized diffeos from the audit-dark directions; 10−4−4=2 | dark space = {+,×} exactly (n166); gauge = billing differences (in-model) | the closure of constraints under evolution; the covariant counting |
| 3 | continuum quadratic action ≡ FP | n147's attempt: Euclidean ratio −8.9, non-Lorentz form, INCONCLUSIVE (recorded) | the honest continuum limit — analytic work, not another lattice fit |
| 4 | massless pole, positive norm, no ghost, c_g = c | C1 (n175): positive norm, no tachyon, bubble level | **c_g² = 0.46 must be resolved, not subtracted** — the sector's standing failure |
| 5 | ½h_μν T^μν universal | C3 (n177): the identity, lattice, 10% | promotion to continuum; one conserved T^μν for all model matter |
| 6 | G, γ, ρ_G from one (g,Δ,κ) | the knot named (n179) — **still three named constraints, zero written equations** | the equations, then the solution, judged at 1.3×10⁻⁴ |
| 7 | Lindblad global time covariant or undetectable | n139: static margin (k·w/γ)² ~ 10⁻⁴⁹ | the **dynamical** frame test — radiative sector, where the static argument does not reach |
| 8 | universal matter coupling | — | blocked on the absent matter sector (status page, unchanged) |
| 9 | controlled continuum limit + SI units | ζQ bridge (class B); n181 functional | G normalization, mass scale, regulator independence |
| 10 | nonlinear completion, PPN derived, strong field, FRW | β calibrated on Mercury (admitted); Λ sign only | **explicitly OUT of this gate** — owed after it, stated so no pass gets rounded up |

## What the gate changes

The triple-consistency knot (n179) stops being a free-floating promise: it is now **leg 6 of a seven-leg frozen gate**, alongside the field map, the gauge derivation, the FP comparison, the propagator (with the c_g resolution), the coupling promotion, and the dynamical frame test. Failure conditions are pre-registered — including the one that matters most: *the raw c_g² = 0.46 surviving the honest continuum limit kills via GW170817* (condition B), and *a knot with no solution kills numerically* (condition C). Per the house pattern, a failed leg is reported as failed; the interval is never widened.

## Order of work (unchanged priorities, one addition)

(c) the ζ family sweep → **(e) the FP gate, legs 1–3 first** (the field map and gauge structure are prerequisites to everything; they are analytic, not computational — the critique is right that no new 1/r simulation helps). The noise-gate follow-ups (quadrature-gain classification; the driven-pump model) remain queued as Wing A maintenance.

**Class: organizational; the gate spec is the content. No claim is advanced by this note; one promise (the knot) is converted into a frozen, failable structure.**