Unified Theory of Non-Equilibrium Fields: The Four Fundamental Interactions as Projections of a 4-Vector Force via the ⋆ Operator

This paper presents a complete unification of the four fundamental interactions by redefining them as the four components of a single non-equilibrium force vector F. We demonstrate that the hierarchy problem―the extreme disparity in strength between gravity and electromagnetism―stems from a geometric mismatch between the temporal localization of mass and the spatial localization of other charge-like properties. By introducing a first-order four-dimensional operator ⋆ (where ⋆ · ⋆ = □), we describe the universe as a dynamic restorative system where the "forces" are simply different manifestations of a 4-vector information source projected onto the observer’s 3D spatial manifold.