The Unified Wave Equation in the Non-Equilibrium Unified Theory: Derivation, Source Term, and Relation to Conventional Wave Equations

In the Non-Equilibrium Unified Theory, gravity and electromagnetism are unified through

a single scalar medium — the complexity/environmental factor D. The time evolution of D

obeys a wave-like equation that is derived directly from the non-equilibrium force F and the

condition dF/dt = a (constant).

This paper focuses exclusively on the unified wave equation. We present the exact deriva-

tion, show that it is inherently non-linear and contains an explicit source term (vibra-

tion source), and demonstrate that the conventional linear wave equation ∂

2ϕ/∂t2 = c

2∇2ϕ

emerges only as a special limiting case when the source vibration is neglected. The physical

implication is that real gravitational and electromagnetic waves are always driven by mat-

ter/energy, while the familiar free-propagation form is merely an idealised approximation.

Keywords: Non-Equilibrium Unified Theory, unified wave equation, D-field, source term,

non-linear wave, gravity–electromagnetism unification