Which Species Turns Around First? Threshold Crossing Order in a Cooling, Contracting Mixture of Neutrinos, Electrons and Nucleons

The crossing order is by mass, lightest first. The neutrino component crosses at an equivalent radiation temperature of 1.642e+13 K, the electron component at 3.712e+16 K, and the neutron component at 1.592e+18 K. Between the neutrino and electron crossings the density grows by a factor of 2.612e+13 while the scale factor shrinks by a factor of 0.000; between the electron and neutron crossings the density grows by 3.381e+06 with a scale-factor ratio of 0.023. The staging is therefore extremely uneven: the first crossing happens at a density so far below the last that, in a radiation-dominated contraction, the universe spends the overwhelming majority of its contracting history with only its lightest component in the torsion-softened regime. The study is a computation from stated assumptions, performed by the accompanying script; it is simulated, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123571
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Which Species Turns Around First? Threshold Crossing Order in a Cooling, Contracting Mixture of Neutrinos, Electrons and Nucleons

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

Which Species Turns Around First? Threshold Crossing Order in a Cooling, Contracting Mixture of Neutrinos, Electrons and Nucleons

William Alexander Aldred
article en

Abstract

The crossing order is by mass, lightest first. The neutrino component crosses at an equivalent radiation temperature of 1.642e+13 K, the electron component at 3.712e+16 K, and the neutron component at 1.592e+18 K. Between the neutrino and electron crossings the density grows by a factor of 2.612e+13 while the scale factor shrinks by a factor of 0.000; between the electron and neutron crossings the density grows by 3.381e+06 with a scale-factor ratio of 0.023. The staging is therefore extremely uneven: the first crossing happens at a density so far below the last that, in a radiation-dominated contraction, the universe spends the overwhelming majority of its contracting history with only its lightest component in the torsion-softened regime. The study is a computation from stated assumptions, performed by the accompanying script; it is simulated, not measured.

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