Non-Linear Geometric Tensor Fusion and Topological Computation Framework

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the integration of non-linear geometric tensor fields into a topological computation framework, aiming for precise modeling and calculation of complex geometric shapes, particularly within the realms of topology and biomorphology. We propose a novel geometric tensor representation that intrinsically incorporates non-linear relationships through a dynamically evolving structure, utilizing quantum entanglement to achieve precise degree measurements and construct a quantum-based topological computation algorithm. The core mechanism centers on introducing a new geometric tensor, enabling the expression of non-linear relationships during computation, and leveraging quantum entanglement for precise computation. This research presents a fundamentally new approach to topology, offering the potential for more accurate and robust modeling of dynamic and complex geometric structures.

DOI: 10.5281/zenodo.22294231

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