Coherent Versus Incoherent Spin: The Rescaling of the Aldred Limit When Spins Align

The standard Aldred Limit assumes randomly oriented spins. If spins align coherently inside domains, the spin density that sources torsion is enhanced, and the bound density falls in inverse proportion to the number of coherently aligned spins per domain. This paper computes the rescaling: a domain of a million aligned neutron spins lowers the bound from 9.72e+54 to 9.72e+48 g per cubic centimetre, and a domain of a trillion lowers it to 9.72e+42 g per cubic centimetre. The physical size of such domains at the bound density is also computed: a million-spin domain has radius 3.45e-27 m and a trillion-spin domain 3.45e-25 m. The conclusion is twofold. Coherence is the only mechanism within the framework that can move the operative bound by large factors, so it deserves scrutiny; but the domains required to bring the bound anywhere near astrophysical densities are far beyond any known ordering mechanism in hot dense matter. The incoherent bound stands unless such ordering is independently established. Computed from stated assumptions, not measured.