Dynamic Geometry Topology: A Novel Approach to Adaptive Geometric Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Dynamic Geometry Topology explores the convergence of geometric transformations through the lens of quantum entanglement. This paper introduces a novel algorithm, termed "Quantum Morphing," that leverages the instantaneous correlations inherent in quantum entanglement to dynamically adjust geometric transformations during computation. We demonstrate that this approach significantly enhances the computational efficiency of complex geometric operations, offering a paradigm shift in the field of topology. The core mechanism relies on establishing a 'quantum-aware' topology, where geometric changes are influenced by subtle, real-time adjustments induced by entangled particles. This allows for the exploration of intricate geometric structures with dramatically reduced computational overhead.

DOI: 10.5281/zenodo.22183440

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