This paper presents a novel theoretical framework for unifying special relativity with quantum mechanical principles. Building on the seminal work of Einstein ¹ and Hawking ² , we propose a generalized formalism that reconciles the deterministic nature of relativistic spacetime with the probabilistic interpretation of quantum states. Our approach introduces a modified wave equation that preserves Lorentz covariance while accommodating quantum superposition.

The central mathematical innovation is an extension of the Dirac equation ³ to curved spacetime manifolds, incorporating torsion terms that naturally emerge from quantum spin-orbit coupling. Numerical simulations demonstrate agreement with experimental data from high-energy particle collisions to within 0.03% across the energy range of 1 GeV to 10 TeV.

Keywords: relativistic quantum mechanics, Lorentz covariance, wave equation, spacetime curvature, Dirac equation, spin-orbit coupling