Neutrino Mass Bound Implied by the Density Limit Carrier Ladder

This paper computes a specific neutrino quantity in a cosmology whose collapse is regulated by a maximum density, the Aldred Limit evaluated on its neutron branch at 9.72e+54 grams per cubic centimetre. The limiting density depends on the square of the carrier mass, so each neutrino mass corresponds to a branch of the ladder far below the neutron branch. Asking which branch is operative for neutrino matter, and what mass the cosmological bound implies for that branch, turns an abstract ladder into a statement about the lightest carriers. The calculation gives the following headline values: m_0.01_eV_rhoA_kg_m3 = 1.1008116198850626e+36, m_0.05_eV_rhoA_kg_m3 = 2.7520290497126564e+37, m_0.12_eV_rhoA_kg_m3 = 1.5851687326344899e+38, m_0.3_eV_rhoA_kg_m3 = 9.907304578965563e+38, sum_mass_bound_eV = 0.12, rhoA_neutron_kg_m3 = 9.717779835388742e+57. Each value is obtained from stated assumptions by the deposited script and is compared with published observational values where such values exist. Where the computed frame effect is far below observational reach, that negative result is stated plainly rather than softened. This study is simulated and computed from stated assumptions; it is not a measurement.