Title: Non-Local Quantum Entanglement for Computational Geometry
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, offers an unprecedented capability for manipulating complex systems. This research explores the application of this phenomenon to computational geometry, specifically focusing on generating and manipulating geometric primitives within a dynamically evolving holographic space. We propose a novel quantum algorithm that leverages a dynamically responsive "quantum foam" layer to accelerate geometric computations, potentially revolutionizing CAD and simulation workflows. The core mechanism involves adjusting the entanglement network based on geometric properties, allowing for parallel processing and the creation of intricate 3D models. This paper details the algorithmic framework, demonstrates preliminary results through simplified geometric examples, and discusses the implications of this approach for advanced computational geometry.