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:\[∇^2 Ψ = -κ ρ,\]with\[κ = {G}{{λ_C}^2}.\] In the static limit, this equation reproduces the classical gravitational field equation under the projection\[Φ = {Ψ}{{λ_C}^2},∇^2 Φ = -Gρ.\] 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: \[∇ · Π = ρ_e,∇ · τ = ρ_m,\] \[∇ × Π=-∂ τ/∂ t- j_m,∇ × τ=1/c^2∂ Π/∂ t+ j_e.\] \] Wave equations follow directly from this system, showing that electromagnetic propagation corresponds to coupled transmission of expansive and torsional coherence modes with propagation speed\[c = λ_C F_q.\] A Lagrangian formulation is constructed for the coherence field,\[L=1/2c^2(∂ Ψ/∂ t)^2-1/2|∇ Ψ|^2+κ ρ Ψ,\]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.