The Aldred Density Bound Applied to Icy-Moon Interiors: A Negative Result at Planetary Densities

This study applies the Aldred Limit density bound, rho_A equal to rho_Pl times (m over m_Pl) squared divided by (8 pi C), to the interiors of icy moons and reports a plain negative result. On the neutron branch with C equal to one eighth the bound is 9.72 times ten to the fifty-fourth grams per cubic centimetre, while central densities in icy moons are only about 2 to 3 grams per cubic centimetre. The ratio for Europa's centre is 3.09e-55, a gap of 54.51 orders of magnitude. Torsion corrections at planetary densities are therefore suppressed beyond any conceivable measurement, and icy-moon interiors neither test nor are affected by the bound. Stating that exclusion cleanly is the purpose of this paper. Computed from stated assumptions, not measured.