Relativity and Cosmology

    

Geometric Foundations: a Unified Field Theory From Hypersphere Rotations

Authors: Jason Robert Leonard

This paper presents a novel geometric model that derives both quantum mechanical and relativisticphenomena from first principles of nested rotating higher-n fractal hyperspheres. Through a series of mathematical analyses, we establish the fundamental premises, including the stereographic projection of rotating hyperspheres onto the complex plane, tracing out helical worldlines characterized by anangular velocity ω and radii r1, r2. Key results include deriving the velocity of light, gravitational and quantum constants from geometric ω/r ratios, formulating uncertainty principles and wave phenomena from ω/r fluctuations, and scale recursion relations connecting different levels.

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[v1] 2024-03-15 19:16:37

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