Adaptive Topological Geometry: A Novel Approach to Geometric Computation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces Adaptive Topological Geometry, a novel framework that leverages quantum entanglement to construct and manipulate topological spaces. The core mechanism centers around establishing a dynamic, self-adjusting topology, achieved through controlled entanglement of quantum states. This approach promises unprecedented precision in geometric transformations and offers a fundamentally different perspective on computational geometry. We explore the potential of this method to overcome limitations of traditional techniques in complex geometric modeling and exploration. The paper presents a conceptual overview of the system, detailing the core claim, mechanism, and potential applications.

DOI: 10.5281/zenodo.22279735

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