This work develops a density-gradient operator derivation of cosmological scaling within the Aether Physics Model (APM) using Quantum Measurement Units (QMU). The paper constructs a density-weighted closure operator for the closure field \ ( (x, t) \), with the local Aether density \ (A (x) \) acting as the weighting function for the closure medium. Linearization about a stable closure state gives a self-adjoint density-weighted core operator, while loxodromic transport introduces directed closure dynamics. Reducing the operator locally along closed loxodromic paths yields a periodic eigenvalue spectrum, \ₙ n². result shows that the eigenvalue spacing determines the allowed closure modes, but does not itself produce the cosmological exponent. The fractional exponent arises instead from the density-weighted closure measure. The Aether unit contains eight directed loxodromic transport arcs constrained by five independent volumetric--chronovibrational closure conditions, giving₂₋=85. \ The closure imbalance therefore scales as\₂₋=ₐ^8/5, \ (ₐ\) is the Aether fine-structure parameter. The paper derives \ (ₐ\) from QMU charge relations, \ₐ=e²8 {eₐ²}, \ (eₐ²\) determined by the maximum Aether magnetic charge. Numerically, \ₐ 2. 0345684859 10^-48. \ Combining the closure-measure exponent with the isotropic volumetric closure factor\₈ₒ₎=83 the fully determined cosmological scaling relation=Fqₐ^4/58{3}. \ Usingq 1. 235589965 10^20\ s^-1, predicted expansion rate is 2. 5131 10^-18\ s^-1, 77. 55\ km\, s^-1\, Mpc^{-1}. \ This result connects Aether density gradients, closure-field eigenmodes, QMU charge structure, and cosmological expansion in a single measure-theoretic framework.
David W. Thomson (Mon,) studied this question.