Quantum Topology: Adaptive Geometry Optimization for Biological Morphogenesis

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum Topology, a novel approach to geometry optimization, leverages quantum entanglement and topological structures to model and guide the evolution of complex biological forms. This paper introduces a framework for constructing a quantum geometry optimization model designed to achieve adaptive evolution in organisms. Traditional optimization methods often struggle with the intricate and dynamic nature of biological morphology, necessitating a fundamentally different algorithmic strategy. We propose a model centered around quantum entanglement, exploring how this entanglement can be harnessed to create a dynamic landscape that subtly adjusts the initial geometric configuration, ultimately fostering evolutionary adaptation. The core mechanism involves manipulating quantum states through entanglement to iteratively refine the topology, leading to complex and self-organizing biological structures. The model's potential lies in its ability to mimic the complex, self-directed evolution observed in biological systems. This research explores the theoretical foundations and potential practical implementations of this quantum-guided geometry optimization approach.

DOI: 10.5281/zenodo.22448857

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