A Generalised Torsion Coupling: The Window Between a Bounce Above the Nucleosynthesis Density and Below the Planck Density

For an electron fluid the allowed coupling range runs from beta = 2.787e-46, set by the Planck ceiling, to beta = 1.048e+26, set by the nucleosynthesis floor at density 1.524e+08 kg/m^3: a window 71.6 orders of magnitude wide. For a neutron fluid the range runs from 9.422e-40 to 3.544e+32, a window 71.6 orders of magnitude wide. In both cases the standard Einstein-Cartan value beta = 1 lies comfortably inside the window, far from either edge. The window is wide because the two physical bounds are themselves separated by an enormous density range; the coupling would have to be wrong by many orders of magnitude, in either direction, before the bounce collided with nucleosynthesis or with the Planck scale. 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.24123388
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

A Generalised Torsion Coupling: The Window Between a Bounce Above the Nucleosynthesis Density and Below the Planck Density

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

A Generalised Torsion Coupling: The Window Between a Bounce Above the Nucleosynthesis Density and Below the Planck Density

William Alexander Aldred
article en

Abstract

For an electron fluid the allowed coupling range runs from beta = 2.787e-46, set by the Planck ceiling, to beta = 1.048e+26, set by the nucleosynthesis floor at density 1.524e+08 kg/m^3: a window 71.6 orders of magnitude wide. For a neutron fluid the range runs from 9.422e-40 to 3.544e+32, a window 71.6 orders of magnitude wide. In both cases the standard Einstein-Cartan value beta = 1 lies comfortably inside the window, far from either edge. The window is wide because the two physical bounds are themselves separated by an enormous density range; the coupling would have to be wrong by many orders of magnitude, in either direction, before the bounce collided with nucleosynthesis or with the Planck scale. 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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