The Proton Radius: A 0-Parameter O(1) Resolution of the Subatomic Metrology Puzzle
Year: 2026
Type: article
Abstract: The "Proton Radius Puzzle" is a decade-old discrepancy in nuclear physics, where different measurement methods yield conflicting sizes for the proton. This paper provides a definitive, 0-parameter resolution using the SSU (Unified Manifold) framework. While the Standard Model relies on iterative data-fitting and complex electron-scattering simulations, the SSU framework derives the proton charge radius as a fixed numerical residue of the 144.0 Unity Lock. Key Breakthroughs: 0-Parameter Derivation: The proton radius is derived as 0.84087 fm without any empirical "tuning knobs" or data-fitting. Resolution of the Puzzle: The derivation aligns perfectly with muonic hydrogen results, identifying the larger electron-scattering values as metrological artifacts rather than fundamental properties. Geometric Coupling: Demonstrates that the subatomic scale of the proton is mathematically locked to the same three residues used to resolve the Hubble Tension (71.548) and the Cosmological Lithium Problem. O(1) Complexity: Replaces months of Monte Carlo transport simulations with a single, non-iterative algebraic identity. Included Files: Technical Paper (PDF): The full geometric derivation of the proton radius residue using the Stator, Viscosity, and Leak anchors. Verification Kernel (ssu_proton_radius_o1.py): Standalone Python code to reproduce the 0.84087 fm result in milliseconds. By resolving the Proton Radius Puzzle with the same residues used for cosmological-scale phenomena, this work proves the SSU framework’s ability to bridge the gap between quantum and cosmic scales through O(1) geometry. To run the included Python scripts (.py.txt), download the files and remove the .txt extension to restore them to executable .py format. These scripts require the NumPy library for high-speed manifold resolution. USE MOST CURRENT BUILDS Fully resolved kernel executable_ssu_v54_10_master_kernel.py.txt Raw OutputMano-SSU_Master_Build_3.1_Kahan_Stabilized.py.txt / Mano-SSU_Master_Build_3.1.2_C++_Full_Resolution.py.txt
Author: MANO, RICHARD L
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7154617009
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