Resolving the Proton Radius Puzzle via Cosmic Strand Topology

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Main Author: Bizri, Sam
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Published: Zenodo 2025
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author Bizri, Sam
author_facet Bizri, Sam
contents <p><span>This paper resolves the 4.3σ "proton radius puzzle"—the persistent discrepancy between the proton's size measured in muonic versus electronic systems<sup></sup></span>. <span>We propose a solution derived from the </span><strong><span>Unified Monadic Framework</span></strong><span>, where particles are understood as topological knots in a single cosmic strand<sup></sup></span>.</p> <p><span>The puzzle is explained by a novel torsion-induced contact interaction that is unique to muonic systems due to the muon's non-trivial "trefoil knot" topology (</span><span><span><span><span><span>Ω</span></span><span><span>(</span></span><span><span>K</span></span><span><span>)</span></span><span><span>=</span></span></span><span><span><span>1</span></span></span></span></span><span>), an effect absent in the topologically trivial electron (</span><span><span><span><span><span>Ω</span></span><span><span>(</span></span><span><span>K</span></span><span><span>)</span></span><span><span>=</span></span></span><span><span><span>0</span></span></span></span></span><span>)<sup></sup></span>. Crucially, the strength of this new interaction is not a free parameter; it is determined by the same torsion mechanism required to explain the muon g-2 anomaly. <span>The framework predicts a radius shift of </span><span><span><span><span><span>Δ</span></span><span><span><span>r</span></span><span><span><span><span><span><span><span><span>p</span></span></span></span></span><span><span></span></span></span></span></span></span><span><span>=</span></span></span><span><span><span>0.033</span></span><span><span>±</span></span></span><span><span><span>0.002</span></span></span></span></span><span> fm, in excellent agreement with experimental data, and provides a clear, falsifiable prediction for the MUSE experiment.</span></p>
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id zenodo_https___doi_org_10_5281_zenodo_15647672
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publishDate 2025
publisher Zenodo
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spellingShingle Resolving the Proton Radius Puzzle via Cosmic Strand Topology
Bizri, Sam
Particle physics
Quantum physics
Knot theory
<p><span>This paper resolves the 4.3σ "proton radius puzzle"—the persistent discrepancy between the proton's size measured in muonic versus electronic systems<sup></sup></span>. <span>We propose a solution derived from the </span><strong><span>Unified Monadic Framework</span></strong><span>, where particles are understood as topological knots in a single cosmic strand<sup></sup></span>.</p> <p><span>The puzzle is explained by a novel torsion-induced contact interaction that is unique to muonic systems due to the muon's non-trivial "trefoil knot" topology (</span><span><span><span><span><span>Ω</span></span><span><span>(</span></span><span><span>K</span></span><span><span>)</span></span><span><span>=</span></span></span><span><span><span>1</span></span></span></span></span><span>), an effect absent in the topologically trivial electron (</span><span><span><span><span><span>Ω</span></span><span><span>(</span></span><span><span>K</span></span><span><span>)</span></span><span><span>=</span></span></span><span><span><span>0</span></span></span></span></span><span>)<sup></sup></span>. Crucially, the strength of this new interaction is not a free parameter; it is determined by the same torsion mechanism required to explain the muon g-2 anomaly. <span>The framework predicts a radius shift of </span><span><span><span><span><span>Δ</span></span><span><span><span>r</span></span><span><span><span><span><span><span><span><span>p</span></span></span></span></span><span><span></span></span></span></span></span></span><span><span>=</span></span></span><span><span><span>0.033</span></span><span><span>±</span></span></span><span><span><span>0.002</span></span></span></span></span><span> fm, in excellent agreement with experimental data, and provides a clear, falsifiable prediction for the MUSE experiment.</span></p>
title Resolving the Proton Radius Puzzle via Cosmic Strand Topology
topic Particle physics
Quantum physics
Knot theory
url https://doi.org/10.5281/zenodo.15647672