Horizon Entropy at the Bounce Point Compared with the Present Epoch

The bounce horizon entropy is smaller than the present value by an enormous factor, and the minimum radius is microscopic by cosmological standards while remaining far above the Planck length. The bounce temperature is correspondingly high but finite, which is the thermodynamic content of a density limit: no divergence appears in any of the three quantities. 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: R_min_m = 1.29e-16; S_bounce_kB = 1.99e+38; S_today_kB = 2.33e+123; ratio_today_to_bounce = 1.17e+85; T_bounce_K = 3.28e+22; rho_A_kg_m3 = 9.72e+57. 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.24129295
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Horizon Entropy at the Bounce Point Compared with the Present Epoch

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

Horizon Entropy at the Bounce Point Compared with the Present Epoch

William Alexander Aldred
article en

Abstract

The bounce horizon entropy is smaller than the present value by an enormous factor, and the minimum radius is microscopic by cosmological standards while remaining far above the Planck length. The bounce temperature is correspondingly high but finite, which is the thermodynamic content of a density limit: no divergence appears in any of the three quantities. 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: R_min_m = 1.29e-16; S_bounce_kB = 1.99e+38; S_today_kB = 2.33e+123; ratio_today_to_bounce = 1.17e+85; T_bounce_K = 3.28e+22; rho_A_kg_m3 = 9.72e+57. 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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