A Universal Equation for Quantum-Classical Transition: The Arrabal-Schrödinger Modification

This thesis presents a novel extension of Schrödinger's equation, referred to as the ArrabalSchrödinger Modification, by introducing a collapse term that facilitates the quantum-to-classical transition. The proposed equation includes a dynamic collapse term λ(m,V,t)\lambda(m, V, t)λ(m,V,t), which depends on mass, volume, and time, providing a unified framework for understanding both microscopic quantum systems and macroscopic classical systems. Through mathematical derivations and numerical simulations, the research explores the behavior of systems before, during, and after collapse, bridging the gap between quantum mechanics and classical physics. The thesis also discusses potential experimental setups for testing the validity of the proposed model and its implications for quantum computing and cosmology.