Unified Spacetime Equation

We present a unified physical theory based on a generalized spacetime equation expressed as: dⁿφ/dtⁿ = Cⁿ · dⁿφ/drⁿ where φ represents a dynamically expanding closed surface in space, propagating at speed C and periodically regenerating with frequency ν. This equation forms the basis of a structured theory that recovers classical electromagnetism (n = 1), quantum dynamics and mass-energy equivalence (n = 2), and spacetime curvature and gravity (n = 3) from a single formalism. The tangential (real axis) and radial (imaginary axis) components of the φ field correspond respectively to kinetic energy and potential structure, offering a geometric unification of physical laws. The result is a novel framework that models fields, particles, and forces as deformations and interactions of expanding energy shells.