F-B1 — The Fork Decided
Year: 2026
Type: preprint
Abstract: Decision note (R&D Division, November 8, 2026), successor to the F-B1 Audit, which executed falsifier F-B1 of 'The Fifth Coordinate — the Bundle Construction' (DOI 10.5281/zenodo.24056572) and killed §3's identification of the corpus's torsion decomposition with the local form of a bare bundle connection. The audit left a fork: either the corpus's component pricing is error, or a distinguished structure exists relative to which the split is physical. This note decides: fork (iii) — the distinguished structure exists, and the theory itself posits both of its members. (a) The source current σ^ax, through the exact Cartan tie S^alg/T_A = σ^ax/s_A (FRONT-A §A1.2), defines S^alg pointwise as a tensor in every chart. (b) The home orientation — the phase's zero and sign fixed by law on the oriented axis worldsheet (Bounce Theory II §9) — seats the distinguished trivialization. Two further facts close the argument: θ is a dynamical field (the Nieh–Yan promotion, W12; paper #440), not a chart phase; and the action's only θ-redundancy is the constant shift (FRONT-A §A1.1), under which neither component moves — the nonconstant re-trivialization §3 priced is a map between distinct physical states, not a redundancy of this theory. The amended identification is printed, with replacement text for §3's two corollaries: a connection read in the physically distinguished trivialization; the split is physical bookkeeping, and both components are tensors relative to the posited structures. Checked against the amendment, all three class-3 complexes of the audit survive as stated and no number in the corpus changes; blueprint 92's strength gate stands entire; the sever condition stands at premise grade. A new falsifier is printed, F-B1′: the amendment dies if any corpus result treats a nonconstant re-trivialization as leaving the physics invariant, or if the Cartan tie is demoted from exact. Version 2 of the bundle construction carries the corrected §3.
Author: Aldred, William Alexander
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225593125