Aether Field Theory from Coherence Gradients: Dual-Charge Dynamics and Wave Propagation in QMU

This work develops a field-theoretic extension of the Aether Physics Model (APM) within the framework of Quantum Measurement Units (QMU). Previous work established that the fundamental constants of physics arise from a closed system of Aether substrate relations. The present work constructs the corresponding dynamical field theory. A scalar coherence field is introduced to represent the volumetric--chronovibrational persistence of the Aether substrate. The governing equation for this field is a coherence-gradient relation in which mass loading acts as a source of curvature:\[\nabla^2 \Psi = -\kappa \rho,\]with\[\kappa = \frac{G}{{\lambda_C}^2}.\] In the static limit, this equation reproduces the classical gravitational field equation under the projection\[\Phi = \frac{\Psi}{{\lambda_C}^2},\qquad\nabla^2 \Phi = -G\rho.\] Directional decomposition of the scalar field generates two vector modes corresponding to expansive and torsional transport. These fields satisfy a closed set of coupled equations incorporating both electrostatic and magnetic charge densities: \[\nabla \cdot \Pi = \rho_e,\qquad\nabla \cdot \tau = \rho_m,\] \[\nabla \times \Pi=-\frac{\partial \tau}{\partial t}- j_m,\qquad\nabla \times \tau=\frac{1}{c^2}\frac{\partial \Pi}{\partial t}+ j_e.\] \] Wave equations follow directly from this system, showing that electromagnetic propagation corresponds to coupled transmission of expansive and torsional coherence modes with propagation speed\[c = \lambda_C F_q.\] A Lagrangian formulation is constructed for the coherence field,\[\mathcal{L}=\frac{1}{2c^2}\left(\frac{\partial \Psi}{\partial t}\right)^2-\frac{1}{2}|\nabla \Psi|^2+\kappa \rho \Psi,\]from which the field equations follow by application of the Euler--Lagrange equations. This establishes the coherence field as a dynamical quantity governed by a variational principle. The resulting framework unifies gravitational and electromagnetic phenomena within a single field description. Observable physical laws emerge as projections of a unified volumetric--chronovibrational structure, in which force, charge, and wave propagation arise from coherence variation and transport within the Aether substrate.