Resolving the Proton Radius Puzzle via Cosmic Strand Topology

This paper resolves the 4.3σ "proton radius puzzle"—the persistent discrepancy between the proton's size measured in muonic versus electronic systems. We propose a solution derived from the Unified Monadic Framework, where particles are understood as topological knots in a single cosmic strand. 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 (Ω(K)=1), an effect absent in the topologically trivial electron (Ω(K)=0). 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. The framework predicts a radius shift of Δrp=0.033±0.002 fm, in excellent agreement with experimental data, and provides a clear, falsifiable prediction for the MUSE experiment.