Case 05 — Derivation of the Proton Charge Radius as the $B=1$ Toroidal Resonance of the Vibrational Field Sₕ

The proton charge radius rₚ = 0.841 fm is derived from the Unified Vibrational Force Theory (UVFT) as the spatial extension of the $B=1$ toroidal stable resonance of the vibrational field Sₕ without any quark model or QCD parameters. The derivation rests on a single topological invariant, mₚ · rₚ = 4 c, following from the virial theorem applied to the $B=1$ soliton energy functional. This case also provides a first-principles resolution to the "Proton Radius Puzzle" by identifying the discrepancy between muonic and electronic measurements as a phase distortion induced by the muon's torsional mass residual (ε₂), establishing total consistency with Case 01.