Neutrino Free-Streaming Length Against a Bounce-Set Initial Spectrum

This paper computes a specific neutrino quantity in a cosmology whose collapse is regulated by a maximum density, the Aldred Limit evaluated on its neutron branch at 9.72e+54 grams per cubic centimetre. Massive neutrinos erase structure below their free-streaming length, and the amount of suppression in the matter power spectrum is a leading route to the summed neutrino mass. The suppression depends both on the mass and on the momentum distribution the neutrinos start with. The calculation gives the following headline values: mass_eV = 0.05, free_streaming_Mpc = 120.0, horizon_Mpc = 14000, ratio = 0.008571428571428572, rhoA_kg_m3 = 9.717779835388742e+57, initial_spectrum_change_fraction = 4.1095615496779844e-49. Each value is obtained from stated assumptions by the deposited script and is compared with published observational values where such values exist. Where the computed frame effect is far below observational reach, that negative result is stated plainly rather than softened. This study is simulated and computed from stated assumptions; it is not a measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24129683
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Neutrino Free-Streaming Length Against a Bounce-Set Initial Spectrum

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

Neutrino Free-Streaming Length Against a Bounce-Set Initial Spectrum

William Alexander Aldred
article en

Abstract

This paper computes a specific neutrino quantity in a cosmology whose collapse is regulated by a maximum density, the Aldred Limit evaluated on its neutron branch at 9.72e+54 grams per cubic centimetre. Massive neutrinos erase structure below their free-streaming length, and the amount of suppression in the matter power spectrum is a leading route to the summed neutrino mass. The suppression depends both on the mass and on the momentum distribution the neutrinos start with. The calculation gives the following headline values: mass_eV = 0.05, free_streaming_Mpc = 120.0, horizon_Mpc = 14000, ratio = 0.008571428571428572, rhoA_kg_m3 = 9.717779835388742e+57, initial_spectrum_change_fraction = 4.1095615496779844e-49. Each value is obtained from stated assumptions by the deposited script and is compared with published observational values where such values exist. Where the computed frame effect is far below observational reach, that negative result is stated plainly rather than softened. This study is simulated and computed from stated assumptions; it is not a measurement.

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