Title: Probabilistic Logic with Wavefunction Collapse
Jincheng Zhang
Abstract
This paper explores the application of probabilistic logic to simulate wavefunction collapse, a fundamental process in quantum mechanics. We propose a novel logical system designed to explicitly model probabilities associated with quantum measurements, aiming to provide a deeper theoretical foundation for understanding the measurement problem. The core mechanism involves a shift from standard probabilistic models to a system that directly incorporates the dynamics of wavefunction evolution, allowing for a more complete and nuanced simulation of quantum phenomena. The paper details the design of this probabilistic logic system, its mathematical foundations, and preliminary results demonstrating its ability to reproduce key aspects of wave function collapse. Ultimately, this work seeks to bridge the gap between classical probability and the quantum realm, offering a new framework for analyzing measurement and its implications.