Tidal Love Numbers Computed for a Homogeneous Earth and Corrected for Layering
This study computes the tidal Love numbers 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: effective modulus matching observed k2 140 GPa; homogeneous k2 at that modulus 0.309; homogeneous h2 at that modulus 0.515; observed h2 0.61; h2 shortfall attributable to layering and the fluid core 0.095. The standard geophysical account reproduces the measured behaviour of the bodily tide 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. Love numbers compress the whole radial structure into three decimals that gravimeters, tiltmeters, satellite altimetry, and GNSS all measure independently; their mutual agreement is one of the strongest cross-checks in geodesy, and the homogeneous calculation shows how much of each number is bulk elasticity and how much is the fluid core. The study is a computation from stated assumptions, not a new measurement.
Authors
- William Alexander Aldred (ORCID: https://orcid.org/0009-0000-1215-577X)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-12
- DOI
- https://doi.org/10.5281/zenodo.24147832
- Primary Topic
- Geophysics and Gravity Measurements
- Type
- article
- Field-Weighted Citation Impact
- 0.00