Refined Calculation of Critical Velocity for Quantum-Classical Transition: An Energy-Based Approach

This thesis introduces a highly refined calculation of the Arrabal Critical Velocity for quantumclassical transitions, incorporating relativistic kinetic energy, quantum energy corrections, and environmental factors. Unlike previous models, which relied on arbitrary parameters, this refined model derives the critical velocity using a precise α\alphaα-parameter that includes contributions from de Broglie wavelength, temperature effects, field interactions, and higher-order quantum corrections. The resulting calculation provides a more accurate prediction of when quantum coherencecollapses into classical behavior, with applications in quantum computing, cosmology, and highenergy physics. Experiments at CERN using the Large Hadron Collider (LHC) are proposed to validate the predictions.