Title: Quantum Geometry – Geometric Quantum State Collapse
Jincheng Zhang
Abstract
Quantum Geometry – Geometric Quantum State Collapse Core Claim: Quantify the geometric properties of quantum states – specifically, the 'collapse' of quantum states – by developing a mathematical model where the state's geometry directly influences its collapse. Core Mechanism: Model the collapse as a phase transition – where the state's geometry changes drastically, triggering a change in the quantum state. This will be based on a new understanding of entanglement and the relationship between geometry and quantum mechanics. Why It Is New: Current quantum mechanics models often treat quantum states as purely probabilistic. This proposes a direct, geometric connection.