The Crossing in the Centre Plane
Year: 2026
Type: preprint
Abstract: All-Fields programme paper (All-Fields Run, Batch 17 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. AF-40 graded the extremal gap's zero set over the uncertainty plane at the record's measured centre and found the closed cone σ_wa/σ_w0 ≥ 4.411765. Its falsifier F-next carried the same question to the centre itself, which is a measurement and will move: the zero set as a function of the centre, over the (centre w0, centre wa) plane at the declared generations' uncertainties — where the extremal gap at the current generation vanishes and changes sign, and how far the present centre stands from that set in its own units. This paper grades that plane: 2,793 centres at each of the three declared generations, both candidates' minima computed by the port's closed-form extremum carried to a moved centre and cross-checked against the quotient's second closed form at every centre. The zero set's form is derived before the grid is read: because the candidates share their w0 point, both carry the centre's same standardized w0 offset A, and the gap max(A, Q) − max(A, P) vanishes exactly where A dominates both wa offsets — a wedge opening away from the candidates' w0 line — and on the midline be
Author: Aldred, William Alexander
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225661345
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