A Ceiling Check on the Terrestrial Core Density Profile

This study computes the core density profile 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: integrated planetary mass 6.045e+24 kg; mass residual 1.2 percent; central pressure 366 GPa; core share of planetary mass 31.8 percent; peak density as a fraction of the ceiling 1.35e-54. The standard geophysical account reproduces the measured behaviour of the deep interior 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. The check matters because density profiles are often quoted as if they were measured layer by layer; in fact they are integrals constrained by a handful of global numbers, and showing that a simple anchor profile reproduces those numbers is what licenses using the profile in any further bound. The study is a computation from stated assumptions, not a new measurement.