The Rotational Energy Budget of the Earth Against Density and Shear Bounds

This study computes the rotational energy budget from stated inputs and places the result against both the published observational value and the density ceiling of Einstein-Cartan torsion gravity, in which spin-sourced torsion caps the effective density of neutron matter near 9.72e57 kilograms per cubic metre. The computation gives: rotational kinetic energy 2.14e+29 J; spin-down timescale at the present tidal loss 1.94e+09 years; tidal loss as a share of geothermal heat flow 7.4 percent; spin energy as a fraction of the ceiling energy scale 2.26e-67. The standard geophysical account reproduces the measured behaviour of the spin of the Earth within the uncertainty of its inputs, and the largest correction the ceiling could contribute at terrestrial densities is far below the precision of the observations, so the measurement is consistent with the frame while also naming the threshold at which it would cease to be. Energy bookkeeping disciplines rotational studies in the same way it disciplines climate studies: any proposed internal process that claims to brake or accelerate the Earth must find its power somewhere in a budget whose largest entries are already measured, and the ceiling comparison shows the spin is an utterly negligible draw on the frame's energy scale. The study is a computation from stated assumptions, not a new measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-12
DOI
https://doi.org/10.5281/zenodo.24147668
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
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article

The Rotational Energy Budget of the Earth Against Density and Shear Bounds

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

The Rotational Energy Budget of the Earth Against Density and Shear Bounds

William Alexander Aldred
article en

Abstract

This study computes the rotational energy budget from stated inputs and places the result against both the published observational value and the density ceiling of Einstein-Cartan torsion gravity, in which spin-sourced torsion caps the effective density of neutron matter near 9.72e57 kilograms per cubic metre. The computation gives: rotational kinetic energy 2.14e+29 J; spin-down timescale at the present tidal loss 1.94e+09 years; tidal loss as a share of geothermal heat flow 7.4 percent; spin energy as a fraction of the ceiling energy scale 2.26e-67. The standard geophysical account reproduces the measured behaviour of the spin of the Earth within the uncertainty of its inputs, and the largest correction the ceiling could contribute at terrestrial densities is far below the precision of the observations, so the measurement is consistent with the frame while also naming the threshold at which it would cease to be. Energy bookkeeping disciplines rotational studies in the same way it disciplines climate studies: any proposed internal process that claims to brake or accelerate the Earth must find its power somewhere in a budget whose largest entries are already measured, and the ceiling comparison shows the spin is an utterly negligible draw on the frame's energy scale. The study is a computation from stated assumptions, not a new measurement.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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