Electromagnetic Waves as Φ–Ψ Resonance Modes in Fractal Spacetime: Unified Fractal Quantum Field Theory (UFQFT) Approach

This work presents a novel interpretation of electromagnetic waves within the framework of Unified Fractal Quantum Field Theory (UFQFT). In this approach, electromagnetic radiation emerges as resonance modes of the unified energy (Φ) and charge (Ψ) fields propagating through a fractal spacetime geometry. We establish a mathematical formalism that links wave dynamics to variations in local fractal dimension D(x), demonstrating how gravitational effects naturally arise as a response to fractal density gradients. Unlike the curvature-based description of General Relativity, UFQFT interprets light bending, lensing, and Shapiro delay as manifestations of resonance propagation in a medium with spatially varying fractal dimension. The framework provides a testable alternative to classical field theories, with implications for high-energy astrophysics, gravitational lensing, and quantum gravity phenomenology.