This paper presents a conditional derivation of the static Newtonian gravitational force law within the Aether Physics Model (APM), using native Quantum Measurement Units (QMU). Newtonian Gforce coupling between matter loads is formulated separately from the Aether space-density gradients associated with Einstein-type propagation geometry. Starting from the force scale Gforce=mₐλC Fq², the normalized mass loadings and separation are defined by μᵢ=Mᵢ/mₐ, R=r/λC. Separate mass extensivity and continuity establish bilinear dependence on the interacting masses. Conserved isotropic radial transmission through three-dimensional spherical surfaces establishes inverse-square dependence on separation. A Unit Boundary-Coupling Postulate fixes the remaining dimensionless coefficient, while an Attractive-Coupling Assumption selects the inward force direction. Together, these inputs give F₁₂Gforce=μ₁μ₂/ R², or equivalently, F2←1=-GforceM₁M₂mₐ²λC²r² r̂1→2. The conventional Newtonian coefficient is introduced downstream: G=GforceλC²mₐ²=λC³Fq²mₐ,\,Gforce=c⁴,=λC Fq. With an additional Pairwise Superposition Principle and appropriate source and boundary conditions, the construction yields the many-body law, continuous-density potential, Poisson equation, shell theorem, and binding energy. Gravitational–inertial mass equality and ordinary Newtonian mechanics additionally give acceleration, circular-orbit motion, escape speed, and circular test-body Kepler scaling. The manuscript explicitly distinguishes mathematical consequences from physical principles, coupling postulates, and empirical calibration. It does not independently predict the numerical value of G when mₐ is calibrated from gravitational measurements. It also relates the static force formulation to the published QMU Gravitational Field Theory series, the physical-primitive foundation, and the matter-formation-induced local expansion model. Microscopic justification of the stated coupling assumptions and dynamical matching between these formulations remain identified research questions.
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David J. Thomson (2026) studied this question.
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