Resonance Theory III: The Room Is Larger Than We Thought — Seven Fundamental Problems Resolved by Fractal Geometric Classification

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Authors: Lucian Randolph
Cited by: 3

Abstract

Description/Abstract: In the companion papers "The Bridge Was Already Built" (Resonance Theory I) and "One Light, Every Scale" (Resonance Theory II), the author demonstrated that both Einstein's field equations and the Yang-Mills gauge field equations satisfy the formal criteria for classification as fractal geometric equations, that this classification unifies quantum mechanics and general relativity, that all four fundamental forces are expressions of one fractal geometric structure, and that five cosmological "mysteries" are manifestations of the harmonic phase structure that fractal geometric equations must produce. This paper extends the Resonance Theory framework to seven additional fundamental problems in physics: the measurement problem (quantum wave function collapse), quantum entanglement, the arrow of time, the black hole information paradox, matter-antimatter asymmetry, the strong CP problem, and the smallness of neutrino masses. Each is resolved — without modification to any existing equation and without the introduction of any new particle, field, or dimension — as an inherited property of the fractal geometric classification. The resolution follows a single pattern: phenomena that appear mysterious in an integer-dimensional, scale-independent framework become natural and expected in a fractal geometric, scale-dependent one. Together, the three Resonance Theory papers form a complete framework for fundamental physics. Not a single equation is modified. Not a single particle is proposed. The equations written by Einstein, Yang, Mills, Weinberg, Glashow, Salam, and the builders of the Standard Model are complete. They always were. The only thing missing was the light. Keywords: Resonance Theory, fractal geometry, measurement problem, wave function collapse, quantum entanglement, arrow of time, black hole information paradox, matter-antimatter asymmetry, strong CP problem, neutrino masses, harmonic structure, Bell theorem, Hawking radiation, baryogenesis

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Advanced Mathematical Theories Cold Fusion and Nuclear Reactions

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
21 February 2026
Document type
Preprint