Arrabal-Schrödinger-Einstein Equation: Unifying Arrabal Critical Velocity, Quantum Mechanics, and Relativity for the Quantum-to-Classical Transition

This thesis presents the Arrabal-Schrödinger-Einstein equation, a novel mathematical framework that unifies the Arrabal critical velocity model with Schrödinger's equation and Einstein's energy-mass equivalence. The Arrabal critical velocity governs the transition of quantum particles, such as protons, from quantum behavior to classical decoherence. By integrating quantum mechanical and relativistic principles, this work proposes a new criterion for understanding decoherence based on velocity, refining the boundary between quantum and classical physics, with applications in particle physics, quantum computing, and cosmology