Title: Quantum Entanglement Dynamics in Cellular Automata
Jincheng Zhang
Abstract
Quantum entanglement, a phenomenon where two or more particles become linked and share the same fate, has captivated physicists and philosophers alike. While established in quantum mechanics, its application to complex systems, particularly cellular automata, presents a fascinating challenge and opportunity. This paper explores the potential of extending the concept of quantum entanglement beyond individual particles to propose a dynamic, multi-level entanglement structure within cellular automata simulations. We hypothesize that this approach, driven by chaotic behavior observed in cellular automata, could yield emergent phenomena, including "quantum foam" behavior, offering novel insights into the fundamental nature of reality. The core mechanism involves introducing a novel evolution rule based on chaotic dynamics, incorporating feedback loops and probabilistic branching to generate complex entanglement patterns. This work aims to advance our understanding of entanglement's role in complex systems and potentially lead to new computational models.