Entropy of the Relic Neutrino Background Carried Through a Bounce

The neutrino entropy is comparable to, and slightly below, the photon entropy today, and adiabatic transport preserves the ratio through the bounce. If re-coupling occurred at the bounce temperature the background would be reprocessed rather than preserved, which would erase the decoupling signature; the preservation result therefore doubles as a statement about which bounce temperatures are compatible with an intact relic background. The computation is performed from stated assumptions in a density-limited bounce, in which the neutron-branch limit density sets a maximum density, a finite bounce temperature, and a minimum horizon size. Headline values from the deposited calculation are: T_nu_K = 1.95; n_nu_per_m3 = 3.36e+08; S_nu_kB = 3.78e+89; T_bounce_K = 3.28e+22; Tnu_over_Tbounce = 5.93e-23. The study is simulated and computed, not measured, and its conclusions are stated at the precision the stated assumptions support.

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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.24129398
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Entropy of the Relic Neutrino Background Carried Through a Bounce

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

Entropy of the Relic Neutrino Background Carried Through a Bounce

William Alexander Aldred
article en

Abstract

The neutrino entropy is comparable to, and slightly below, the photon entropy today, and adiabatic transport preserves the ratio through the bounce. If re-coupling occurred at the bounce temperature the background would be reprocessed rather than preserved, which would erase the decoupling signature; the preservation result therefore doubles as a statement about which bounce temperatures are compatible with an intact relic background. The computation is performed from stated assumptions in a density-limited bounce, in which the neutron-branch limit density sets a maximum density, a finite bounce temperature, and a minimum horizon size. Headline values from the deposited calculation are: T_nu_K = 1.95; n_nu_per_m3 = 3.36e+08; S_nu_kB = 3.78e+89; T_bounce_K = 3.28e+22; Tnu_over_Tbounce = 5.93e-23. The study is simulated and computed, not measured, and its conclusions are stated at the precision the stated assumptions support.

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