Why the Neutrino Branch Does Not Bind: A Disproof of the Lightest-Carrier Objection

A common objection to the neutron-branch Aldred Limit runs as follows: neutrinos are far lighter than neutrons, their branch of the bound lies far lower, and the lightest carrier present should set the operative bound, so collapse should bounce at the neutrino branch density of 1.10e+35 g per cubic centimetre. This paper shows the objection fails on its own terms. The neutrino branch bound lies a factor 1.10e+23 below the stated neutrino trapping density of 1.0e+12 g per cubic centimetre; below trapping, neutrinos free-stream out of the collapsing matter, their spin density does not rise with compression, and the precondition for any branch to bind, confinement of the carrier, is not met. Even granting trapping and a generous neutrino number fraction of ten percent, the fraction-weighted effective branch sits at 1.10e+37 g per cubic centimetre, still far below the densities where the neutron branch operates and in a regime where the neutrino component is a trace constituent whose spin density the neutrons overwhelm. The lightest-carrier objection is therefore disproved arithmetically: a branch binds only where its carrier is confined, and the neutrino branch's own density lies outside its confinement domain. Computed from stated assumptions, not measured.