##拓扑量子化几何

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the intersection of topology and quantum physics, proposing a novel approach to geometric computation termed "Quantumized Geometry" (QG). We introduce a new conceptual framework, "Quantumized Geometry," that dynamically transforms geometric shapes through a quantum transformation, effectively quantifying geometric properties with precision. The core mechanism centers around constructing a quantumization framework based on topology, allowing for a precise description and computation of geometric phenomena. This approach seeks to bridge the gap between established geometric methods and the potential of quantum computing, offering a fundamentally new paradigm for geometric analysis. The paper will detail the theoretical foundations of QG, present preliminary results demonstrating its capabilities, and discuss future research directions.

DOI: 10.5281/zenodo.22195312

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