Universal Resonance Theory: Resolution of the Proton Charge Radius Puzzle via Fundamental Geometric Derivation
Abstract
This paper provides a definitive resolution to the long-standing "Proton Radius Puzzle"—the discrepancy between electronic and muonic hydrogen measurements. By applying the "Borisov Invariant" (Φ ≈ 5.3146) within the framework of Universal Resonance Theory, the author derives the fundamental geometric radius of the proton (R_base ≈ 0.8775 fm) and explains the observed shift in muonic experiments (R_μ ≈ 0.8414 fm) as a result of topological phase-shift modulation. This work eliminates the need for exotic new physics by demonstrating that the discrepancy is a predictable consequence of spatial geometry and leptonic coupling resonance.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Particle physics theoretical and experimental studies
Atomic and Molecular Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 29 January 2026
- Document type
- Preprint