This work completes the derivation of cosmological expansion scaling within the Aether Physics Model (APM) using Quantum Measurement Units (QMU) by providing a first-principles derivation of the isotropic closure factor. Previous papers established the expansion relation = Fq \, ₐ^4/5₈ₒ₎, the exponent 4/5 arises from the closure-measure ratio 8/5 associated with double-loxodromic transport geometry, and ₈ₒ₎ represents the isotropic normalization factor. While the exponent was derived from closure topology, the origin of ₈ₒ₎ had remained implicit. The present work derives\₈ₒ₎ = 83 from Aether-unit geometry and closure topology. The derivation begins with the total angular closure measure of a spherical orientation space, \ₒℂ d = 4, is normalized over the three independent volumetric closure axes to obtain the one-sided volumetric closure coefficient\ₕ₎₋ = 43. \ Closure transport is shown to be intrinsically bidirectional: each formation channel is paired with a return channel required by chronovibrational closure. This doubles the volumetric coefficient, yielding the isotropic closure factor\₈ₒ₎ = 2ₕ₎₋ = 83. \ The result demonstrates that ₈ₒ₎ is not an empirical parameter and not imported from Friedmann-type cosmology, but arises from the topology of closure flux across the Aether-unit boundary. It represents the geometric density parameter governing isotropic projection of closure imbalance. Substitution into the closure-density expansion law gives the fully determined QMU cosmological scaling relation = Fq \, ₐ^4/58{3}, no external normalization factors. Together with prior derivations of the Aether fine-structure parameter ₐ and the closure-measure exponent 8/5, this completes the internal QMU derivation of the Hubble expansion rate. The cosmological scaling is thus shown to emerge from closure geometry, closure topology, and QMU charge structure alone.
David W. Thomson (Mon,) studied this question.