Dynamic Fractal Theory: Mathematical Modeling and Numerical Simulation of the Multiscale Structure of the Universe

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Abstract

mic fractal theory provides a unified framework for explaining the mul?tiscale structure of the universe. Based on the concept of dynamic fractals, thispaper constructs a systematic mathematical and physical framework, detailing therecursive processes and dynamic characteristics of fractals. Through theoreticaladvancements, dynamic fractals are connected to general relativity, serving as low?dimensional projections to describe macroscopic scales. To validate the theory andenable multiscale modeling, a numerical simulation framework is developed, includ?ing the discretization, temporal evolution, and recursive implementation of fractaldynamics. Finally, the paper explores future directions to refine the theory andexpand its practical applications.

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