The Crossing in the Rival Plane
Year: 2026
Type: preprint
Abstract: All-Fields programme paper (All-Fields Run, Batch 19 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. The extremal gap's zero set as a function of ΛCDM's own point — the last of the configuration's points to be moved — is the boundary of a rectangle: ΛCDM w0 in [−1.00, −0.66], ΛCDM wa in [−1.3875, −0.1125], at the record centre and the current generation's uncertainties, with the frame standing at its own point and its minimum frozen at 2.125000, set by its w0 term. The gap — the rival's extremal distance less that frozen value — stands negative exactly inside the rectangle, at zero exactly on its boundary, and positive everywhere outside it: the candidate plane's closed boundary with its sign reversed, confirmed at every one of the plane's 2,793 graded points with zero exceptions. ΛCDM's banked point (−1.0, 0.0) stands outside the rectangle at the record gap +0.375000, and its standardized distance to the zero set is 0.375000 — the gap entire, the mirror of the candidate plane's banked distance — attained at the rectangle's corner (−1.00, −0.1125), the one point of the set that shares the banked point's w0. With this grading the four planes stand complete at the current generation:
Author: Aldred, William Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225641687
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