Title: Adaptive Geometric Topological Fields

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Adaptive Geometric Topological Fields (AGTF) represents a novel approach to modeling complex systems, particularly within the realms of nonlinear dynamics and quantum information. This research investigates the potential of utilizing quantum entanglement to generate dynamic geometric structures within mathematical fields, enabling the capture of information previously inaccessible through conventional methods. The core mechanism centers around a quantum field description that responds to correlated observations, dynamically altering the field state to reveal underlying complexities. This paper explores the implications of this framework, highlighting its potential for revolutionizing various fields through the integration of quantum mechanics and topology. The research aims to establish the foundational principles and preliminary results supporting the concept and its potential impact.

DOI: 10.5281/zenodo.22622496

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