# Apeiron AP1 – G32A precision-aware convergence preflight

**Updated UTC:** 2026-09-03T04:45:46Z  
**Classification:** `M1_BALANCED_COUPLED_PRECISION_AWARE_ORDER_PREFLIGHT_PASS_PILOT_RETRY_OPEN_PHYSICAL_KERNEL_BLOCKED`  
**AP1 status:** ORANGE

G32A keeps the G32 equations, physics, parameters, numerical operator settings,
counterterms, and every registered threshold unchanged.  It closes two gate-
semantics ambiguities before any pilot retry.

## Frozen interpretation

- Minimum observable Richardson order remains `0.5`.
- Background component floor remains `1e-10`.
- Source component floor remains `1e-09`.
- Finite monotonicity is mandatory at every scale.
- If both nested differences are below their inherited family floor, the order
  is not numerically identifiable; monotonicity remains the pass condition.
- At or above the floor, the unchanged Richardson-order gate is mandatory.
- Runtime transport must be exactly
  `dimensionless_pivoted_R_Q_charts_with_determinant_one_RK4_transfer` and retain every G31 quality gate.
- G31 remains the hash-bound proof of pole-crossing capability.  A dynamic chart
  switch is not forced when a particular coupled trajectory never reaches the pole.

## Fail-closed audit

The prior developmental attempt used
`3` background-resolution
runs, produced no stored pilot report, and supplied no seed or metric input.
This revision is explicitly data-informed.  Therefore the retry must recompute
all three pilot levels from scratch, while the registered disjoint heldout remains
unseen.

## Boundary

This is a structural numerical-contract PASS only.  It is not an accepted
background pilot or production background.  No tolerance is frozen, no
trajectory or seed is released, and the physical two-time response kernel,
present anchor, AP2/AP3, curves, fits, observables, and significances remain
locked.