Title: Non-Linear Harmonic Analysis of Quantum State Collapse

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the mathematical framework for analyzing the collapse of quantum states, extending the concept of harmonic analysis to quantum systems. We propose a novel non-linear harmonic operator that describes the evolution of the system's energy and phase as it approaches the state of collapse. This operator allows for the prediction of specific outcomes, offering a rigorous and mathematically grounded approach to understanding quantum phenomena. The core mechanism involves introducing a dynamically evolving operator that captures the intricate interplay between quantum mechanics and the concept of collapse. We demonstrate the framework's efficacy through simulations and theoretical analysis, highlighting its potential to provide a more precise understanding of quantum state dynamics.

DOI: 10.5281/zenodo.22291087

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