The Density Bound Inside a Neutron Star: A Computed Negative Result for Crust Physics

This study tests whether the Aldred density bound, 9.72e57 kg per cubic metre on the neutron branch, has any consequence inside a neutron-star crust, by computing the size of the torsion correction to crust physics directly. At the crust base the ratio of crust density to the bound is 1.3e-41, so the fractional correction the bound's spin-torsion term makes to the crust's hydrostatic balance is of that order, forty-one orders of magnitude below unity and 28 orders of magnitude below the best fractional precision pulsar timing can reach. A correction large enough for timing to detect, one part in 1e13, would require a density of 9.7e+44 kg per cubic metre, and a correction of one part in a million would require 9.7e+51 kg per cubic metre, both far above any density in any star. The conclusion is a negative result stated plainly: the density bound supplies no crust observable, no crust correction and no crust test, and crust physics neither confirms nor challenges it. The two subjects meet only in the early universe, not in neutron stars. This study is simulated and computed from stated assumptions; it is not a measurement.