Unlocking the Quantum-Classical Boundary: The Magnetic Key to Accelerating Protons at the Critical Velocity of Arrabal.

In a groundbreaking exploration of the quantum-to-classical transition, this thesis reveals the magnetic field intensity required to propel a proton to the Arrabal critical velocity—a theoretical threshold where quantum systems begin to exhibit classical behavior. By harnessing the power of Lorentz’s lawand Newton’s second law, we compute the acceleration, magnetic force, and field intensity necessary to achieve this velocity within one second. The calculated magnetic field intensity of 1.04×10−8 T1.04 \times 10^{-8} \, \text{T}1.04×10−8T offers a fresh perspective on controlling quantum decoherence, potentially reshaping the future of quantum computing and particle physics. This research opens new doors for particle acceleration, challenging established paradigms, and paving the way for advancements in high-energy physics and next-generation quantum technologies.