Gravitational Baryogenesis at the Bounce, Where the Ricci Scalar Changes Fastest

Gravitational baryogenesis couples the derivative of the Ricci scalar to the baryon current, so that a changing spacetime curvature acts as a chemical potential for baryon number. The coupling is negligible in a slowly evolving universe and largest where curvature changes fastest: at a bounce. This paper computes the effect with the curvature scale set by the torsion density ceiling. The maximum expansion rate is H_max = 2.33e+24 per second, or 1.53e+00 GeV, giving a curvature-derivative scale Rdot of 3.61e+00 GeV^3. With the coupling suppressed by a scale M_star equal to the Planck mass, the yield at decoupling temperature 1e12 GeV is only 8.64e-53; matching the observed yield at that temperature requires M_star near 1.22e-02 GeV. The mechanism is therefore viable at a bounce only with a suppression scale well below the Planck mass, a requirement that any concrete model must justify. 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.24142508
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Gravitational Baryogenesis at the Bounce, Where the Ricci Scalar Changes Fastest

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

Gravitational Baryogenesis at the Bounce, Where the Ricci Scalar Changes Fastest

William Alexander Aldred
article en

Abstract

Gravitational baryogenesis couples the derivative of the Ricci scalar to the baryon current, so that a changing spacetime curvature acts as a chemical potential for baryon number. The coupling is negligible in a slowly evolving universe and largest where curvature changes fastest: at a bounce. This paper computes the effect with the curvature scale set by the torsion density ceiling. The maximum expansion rate is H_max = 2.33e+24 per second, or 1.53e+00 GeV, giving a curvature-derivative scale Rdot of 3.61e+00 GeV^3. With the coupling suppressed by a scale M_star equal to the Planck mass, the yield at decoupling temperature 1e12 GeV is only 8.64e-53; matching the observed yield at that temperature requires M_star near 1.22e-02 GeV. The mechanism is therefore viable at a bounce only with a suppression scale well below the Planck mass, a requirement that any concrete model must justify. Computed from stated assumptions, not measured.

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