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Published February 20, 2026 | Version 1.0
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Resonance Theory I: The Bridge Was Already Built: Fractal Geometric Classification Reveals the Unification of Quantum Mechanics and General Relativity Within Einstein's Original 1915 Formulation

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  • 1. The Emergence

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Description/Abstract: Einstein's field equations have been solved, confirmed, and extended for over a century. They have never been reclassified. This paper demonstrates that Einstein's field equations satisfy the formal criteria for classification as fractal geometric equations — a mathematical taxonomy developed in the 1970s but never applied to general relativity — and that this reclassification reveals the bridge between quantum mechanics and general relativity that Einstein spent his last thirty years seeking. The classification is established through five formal criteria applied to the equations themselves, not their solutions, with computational demonstrations spanning 80 orders of magnitude in mass. The unification of quantum mechanics and general relativity does not require a new equation. It requires the recognition that Einstein's existing equations, properly classified as fractal geometric, already contain the self-similar structure that connects both regimes.

Keywords: general relativity, fractal geometry, Einstein field equations, quantum gravity, unification, self-similarity, power-law scaling, nonlinear dynamics, BKL dynamics, Schwarzschild solution

 

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Preprint: 10.5281/zenodo.18723787 (DOI)
Preprint: 10.5281/zenodo.18724585 (DOI)
Preprint: 10.5281/zenodo.18725698 (DOI)

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2026-02-20
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