The Crossing in the Candidate Plane

All-Fields programme paper (All-Fields Run, Batch 18 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. AF-41 graded the extremal gap's zero set over the centre plane and found a wedge with the candidates' midline in it besides. Its falsifier F-next carried the same question to the last of the configuration's points that had not been moved: the frame's own point, itself a landing that will be re-derived as the record improves. This paper grades that plane: 2,793 frame points over the (frame w0, frame wa) plane at the record centre (−0.83, −0.75) and the current generation's uncertainties (0.080, 0.300), the frame's minimum at every point computed by the port's closed-form extremum carried to a moved candidate and cross-checked against the quotient's second closed form. The zero set's form is derived before the grid is read. With the centre frozen, ΛCDM's minimum is a single number — 2.500000, its wa term standing outside its w0 term — and the gap is that number less the frame's extremal distance max(A_f, P): positive exactly where both of the frame's standardized offsets stand below 2.5, which is the open rectangle about the centre with half-widths 0.2 in w0 and 0.75 in wa — in the sta

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24086647
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Crossing in the Candidate Plane

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Crossing in the Candidate Plane

William Alexander Aldred
preprint en

Abstract

All-Fields programme paper (All-Fields Run, Batch 18 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. AF-41 graded the extremal gap's zero set over the centre plane and found a wedge with the candidates' midline in it besides. Its falsifier F-next carried the same question to the last of the configuration's points that had not been moved: the frame's own point, itself a landing that will be re-derived as the record improves. This paper grades that plane: 2,793 frame points over the (frame w0, frame wa) plane at the record centre (−0.83, −0.75) and the current generation's uncertainties (0.080, 0.300), the frame's minimum at every point computed by the port's closed-form extremum carried to a moved candidate and cross-checked against the quotient's second closed form. The zero set's form is derived before the grid is read. With the centre frozen, ΛCDM's minimum is a single number — 2.500000, its wa term standing outside its w0 term — and the gap is that number less the frame's extremal distance max(A_f, P): positive exactly where both of the frame's standardized offsets stand below 2.5, which is the open rectangle about the centre with half-widths 0.2 in w0 and 0.75 in wa — in the sta

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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