Temporal Inconsistency of the Photon and Its Resolution in the Scale Duality Model (SDM)

This paper introduces and investigates the phenomenon of "Temporal Inconsistency of the Photon" (TIP) — a fundamental inconsistency within the framework of relativistic and quantum physics regarding the notion of proper time for massless particles. While photons possess energy, propagate through space, and carry information, their proper time is null, which creates paradoxes concerning causality, information transfer, and field coherence. We propose a resolution based on the Scale Duality Model (SDM), which replaces classical temporal evolution with topological progression in a twistor-like space structured by Planckian orbifolds. A new Hamiltonian formalism is introduced, and experimental consequences are suggested, including connections to temporal crystals and quantum optics near event horizons