Carrier Branches of the Aldred Limit: Which Fermion Sets the Bound in a Given Matter

The Aldred Limit density scales as the square of the mass of the fermion whose spin sources the torsion. That single scaling produces a family of bounds, one per carrier, spanning an enormous range: from 1.10e+35 g per cubic centimetre for a 0.1 eV neutrino to 9.72e+54 g per cubic centimetre for the neutron, a span of 3.16e+20 in density. This paper tabulates the branches for the neutrino, electron, up and down quarks, muon, proton, neutron, and tau, together with the torsion bound belonging to each branch, and states the criterion that decides which branch is operative in a given matter: the carrier must be confined with the collapsing matter at the relevant density, so that its spin density rises with compression. For neutron matter the neutron branch gives rho_A = 9.72e+54 g per cubic centimetre and a torsion bound of 1.35e+16 per metre; the electron branch lies a factor 2.96e-07 lower. Free-streaming carriers such as neutrinos in a collapsing core do not set an operative bound, because their spin density does not follow the compression. The table makes the carrier choice auditable rather than conventional. Computed from stated assumptions, not measured.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123409
Primary Topic
Relativity and Gravitational Theory
Type
article
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article

Carrier Branches of the Aldred Limit: Which Fermion Sets the Bound in a Given Matter

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Carrier Branches of the Aldred Limit: Which Fermion Sets the Bound in a Given Matter

William Alexander Aldred
article en

Abstract

The Aldred Limit density scales as the square of the mass of the fermion whose spin sources the torsion. That single scaling produces a family of bounds, one per carrier, spanning an enormous range: from 1.10e+35 g per cubic centimetre for a 0.1 eV neutrino to 9.72e+54 g per cubic centimetre for the neutron, a span of 3.16e+20 in density. This paper tabulates the branches for the neutrino, electron, up and down quarks, muon, proton, neutron, and tau, together with the torsion bound belonging to each branch, and states the criterion that decides which branch is operative in a given matter: the carrier must be confined with the collapsing matter at the relevant density, so that its spin density rises with compression. For neutron matter the neutron branch gives rho_A = 9.72e+54 g per cubic centimetre and a torsion bound of 1.35e+16 per metre; the electron branch lies a factor 2.96e-07 lower. Free-streaming carriers such as neutrinos in a collapsing core do not set an operative bound, because their spin density does not follow the compression. The table makes the carrier choice auditable rather than conventional. Computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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Carrier Branches of the Aldred Limit: Which Fermion Sets the Bound in a Given Matter — William Alexander Aldred · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS