Fractal–Fractional Time and a Nine-Dimensional Framework for Mass, Energy, and Fields
Year: 2025
Type: article
Abstract: This research proposes a unified Fractal–Fractional Time Framework that extends classical field theory into nine interrelated dimensions connecting mass, energy, and fields. The study demonstrates how fractal geometry and fractional calculus together provide a mathematical foundation for temporal and spatial scaling in physical systems. The nine-dimensional representation allows for the integration of electrical, gravitational, and quantum interactions under a single generalized formulation. Analytical results reveal consistent behavior across load flow, harmonics, and stability domains, supported by system simulations using modern electrical modeling tools. This framework offers a new interpretation of continuity, nonlinearity, and energy conservation—bridging electrical engineering and theoretical physics through time-dependent fractal dynamics. The findings are relevant to both theoretical physics and electrical engineering, especially in the areas of power system stability, energy field interaction, and fractal modeling of temporal behavior in dynamic systems.
Author: Abdel Aziz Abdalla, Mahamoud Abdel Gadir
Institution: University of Reading
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7101642178
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