Title: Non-Linear Harmonic Oscillator – Quantum Field Theory Insights

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper investigates the application of non-linear harmonic oscillators within the framework of quantum field theory, seeking to provide a deeper understanding of fundamental forces and their dynamics. The core focus is to develop a novel method, termed the "quantum-geometric" algorithm, that leverages geometric properties to represent and model quantum fields. Traditional approaches often struggle with the inherent complexities of quantum mechanics, and this research proposes a shift towards a more intuitive and geometric representation, potentially offering new insights into the nature of quantum phenomena. We present a preliminary algorithm and discuss its implications for both theoretical modeling and the potential for future advancements in quantum field theory.

DOI: 10.5281/zenodo.22157095

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