The Splits as One Object

All-Fields programme paper (All-Fields Run, Batch 17 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. AF-40's eighth arm itemized the quartic row at the inert point as one object and closed with its F-next: the ninth arm — the inert sector's C splits, remainder object (3), the one object no arm had held in a single itemization. The splits are the per-flavour coefficients beneath the gauge betas' declared aggregate C = (17/10, 3/2, 2): where the bench's running carries one coefficient per gauge row, multiplying a single Y2, the full structure carries one coefficient per row, sector and generation — c_{i,s,g} — together with the generation-mixing products the matrices generate between sectors. The third arm itemized the splits at sector resolution (nine entries) and the fourth at generation resolution (twenty-seven entries, the thirty-six products as entries in their own right); the census itself never graded them — its closing block prints them as what remains uncertified, and its inventory carries the C row in aggregate form alone. This paper joins the arms' pieces as the eighth arm joined the row's: one numbered list of sixty-three items, graded as a set in the audit's two parts, wi

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24086618
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

The Splits as One Object

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

The Splits as One Object

William Alexander Aldred
preprint en

Abstract

All-Fields programme paper (All-Fields Run, Batch 17 (AF)), November 2026. Written November 2026; publicly deposited 9 November 2026. AF-40's eighth arm itemized the quartic row at the inert point as one object and closed with its F-next: the ninth arm — the inert sector's C splits, remainder object (3), the one object no arm had held in a single itemization. The splits are the per-flavour coefficients beneath the gauge betas' declared aggregate C = (17/10, 3/2, 2): where the bench's running carries one coefficient per gauge row, multiplying a single Y2, the full structure carries one coefficient per row, sector and generation — c_{i,s,g} — together with the generation-mixing products the matrices generate between sectors. The third arm itemized the splits at sector resolution (nine entries) and the fourth at generation resolution (twenty-seven entries, the thirty-six products as entries in their own right); the census itself never graded them — its closing block prints them as what remains uncertified, and its inventory carries the C row in aggregate form alone. This paper joins the arms' pieces as the eighth arm joined the row's: one numbered list of sixty-three items, graded as a set in the audit's two parts, wi

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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