Title:Velocity-Enhanced Decoherence: A Criterion for the Quantum-to-Classical Transition with Proton Energy Calculations.

Abstract:This thesis explores the role of velocity in the quantum-to-classical transition, focusing on how increased particle velocity accelerates quantum decoherence. While traditional models emphasize environmental factors like temperature and pressure, they overlook the influence of velocity on the lossof quantum coherence. This research proposes a velocity-dependent criterion for decoherence, derived from the relationship between particle velocity and de Broglie wavelength. Proton systems are used as a model to calculate critical velocities at which quantum coherence vanishes, supported by both theoretical and experimental data.The study incorporates relativistic corrections to assess the effect of high velocities on decoherence andcalculates the critical velocity for protons, which is approximately 1.34 × 10⁶ m/s. Additionally, proton energy in high-temperature systems is analyzed, showing that even sub-relativistic velocities can lead to rapid decoherence. The experimental setup involves measuring proton energy and velocity using advanced techniques such as spectroscopy and time-of-flight measurements.The findings have important implications for quantum computing, where controlling velocity could help stabilize qubits by reducing decoherence rates. Furthermore, the model offers insights into cosmological phenomena, suggesting that velocity-enhanced decoherence played a role in the early universe’s quantum-to-classical transition. Future research will extend this framework to other particlesand further explore the cosmological impacts of velocity-enhanced decoherence