Title: Recursive Quantum State Collapse with Adaptive Thresholds
Jincheng Zhang
Abstract
Abstract: Quantum state collapse is a fundamental process in quantum mechanics, where a system transitions from a superposition of states to a definite state. This paper explores a novel recursive approach to this process, extending the concept of collapse to a continuous refinement of a system's state. We introduce a mechanism for calculating an "effective" collapse threshold based on the system's internal dynamics and dynamically adjusts the collapse rate to optimize the state's evolution. This design offers a departure from traditional static collapse theories, potentially leading to a more robust and dynamic understanding of quantum systems. The paper details the core mechanism, its mathematical underpinnings, and presents preliminary results demonstrating the effectiveness of this approach in a simplified quantum simulation.