Modular Topology for Quantum State Collapse
Jincheng Zhang
Abstract
Quantum state collapse is a fundamental aspect of quantum mechanics, where a superposition of states abruptly transforms into a definite state. This phenomenon has long puzzled physicists and researchers, prompting the exploration of alternative models. This paper investigates the application of modular topology as a framework to understand and potentially predict this collapse process. We propose a model where quantum states are represented by topological spaces, and the topology itself dictates the collapse path. The core mechanism relies on the observation that the topology's structure influences the probability distribution of the final state, offering a novel perspective on the collapse mechanism. This work aims to provide a robust mathematical model for this complex process, potentially revealing deeper insights into the nature of quantum reality.