Magnetic Monopole as a Three-Vortex Structure: A Vortex-Based Framework for Magnetic Force Generation

The magnetic monopole—an isolated magnetic charge—has long been proposed to restore the symmetry of Maxwell’s equations, yet it has never been observed as a free particle. This paper presents a new theoretical model describing the magnetic monopole as a tri-vortex excitation of a superfluid vacuum. Building on the Quark Vortex Theory and the Mushroom Model of the nucleon, the proton and neutron are shown to represent confined monopoles of opposite magnetic polarity, formed by three coupled vortices: two centrifugal and one centripetal. The same geometry, when unconfined, produces an open magnetic flux corresponding to a free monopole. Within this hydrodynamic framework, magnetic permeability μ₀ is reinterpreted as the shear response of the vacuum, and magnetic charge arises from a circulation imbalance quantified by $g=\left({\Gamma }_{\text{eff}}/2\pi \right)\sqrt{\rho /{\mu }_0}$ , linking magnetism directly to vacuum density ρ and vortex dynamics. The pressure gradient between interacting vortices yields the inverse-square magnetic force, identical in form to gravitation, which is shown to originate from large-scale vortex structures in the same medium. Energy analysis demonstrates that monopole self-energies range from sub-MeV for nucleon-sized cores to eV for causality-limited vortices, eliminating singularities inherent in point-charge models. The tri-vortex monopole satisfies all theoretical requirements for magnetic charge—quantized flux, finite energy, topological stability, and dynamic equilibrium—while unifying magnetic, electric, gravitational, and nuclear forces under a single physical principle: the self-organized rotation and pressure balance of the superfluid vacuum.