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International Journal of Theoretical & Computational Physics

Fractal Time Dynamics in Quantum Systems Using the McGinty Equation

Published Apr 19, 2025• 0 citations
Publisher

Abstract

This hypothesis investigates the application of the McGinty Equation to fractal time dynamics in quantum systems. It proposes that the evolution of quantum states exhibits fractal properties in time, affecting the behavior and interactions of quantum particles. The primary objective is to understand the implications of fractal time on quantum mechanics, providing new insights into time-dependent phenomena and the nature of time in quantum theory.

DOI
10.47485/2767-3901.1064

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This paper introduces a unified fractal wavefunction model by incorporatinga dynamic fractal dimension Df (t), providing novel explanations for wavefunc?tion geometrization, decoherence, and time irreversibility in quantum mechanics.By reinterpreting the physical essence of the wavefunction from the perspectiveof fractal geometry, we propose a fractal Schr¨odinger equation and demonstratethe extensive applicability of fractal wavefunctions in quantum systems throughexperimental validation and numerical simulations. The primary innovations in?clude the introduction of dynamic fractal dimensions, mathematical modeling offractal wavefunctions, and a geometric interpretation of decoherence and time irre?versibility. With supplementary theoretical foundations, experimental designs, andnumerical analyses, this work enhances the academic rigor and credibility of theproposed model.
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