Quantum-Inspired Geometry with Adaptive Representation
Jincheng Zhang
Abstract
Quantum-Inspired Geometry with Adaptive Representation explores the application of quantum mechanics principles to geometry, specifically focusing on the concepts of superposition and entanglement. This research proposes a novel framework for representing and manipulating geometric properties by utilizing a 'quantum state' representation that evolves based on input data. The core mechanism involves introducing a dynamic, evolving quantum state, potentially leading to unexpected geometric patterns and novel geometric insights. This paper investigates the potential of this approach to unlock new perspectives on geometric structures and challenges existing geometric models.