The Fundamental Differences between Protons and Neutrons: From Quark Vortex Morphology to Nucleon Mushroom Geometry

Protons and neutrons—though both sharing a “mushroom” vortex geometry in a superfluid vacuum—exhibit fundamentally different interactions with electrons and each other. In our Quark Vortex Theory, each nucleon comprises a two-vortex cap and a single-vortex stem: Proton (uud): two up-quark “tornado” vortices atop a down-quark “whirlpool” stem produce net +e charge, an asymmetric form factor, and the orbital angular momentum needed to resolve the spin crisis. Incoming electrons are drawn into a stable equilibrium orbit where centripetal pull from the stem balances centrifugal throw-off from the cap. Neutron (udd): one up-quark “tornado” and one down-quark “whirlpool” in its cap generate dual centrifugal flows that repel electrons, yielding apparent neutrality, while its vortex dynamics reproduce the measured μn = −1.91μN and negative squared charge radius. Extending this picture to the deuteron, we show how proton and neutron vortex funnels couple—via up-down quark connections—to produce a coherent rotating system whose binding energy and characteristic radius follow directly from vortex circulation and vacuum density. We derive quantitative predictions for electron-nucleon equilibrium radii, nucleon-nucleon separations (uₙ-dₚ), 2(dₙ-uₚ) and deuteron binding, all grounded in vortex hydrodynamics. This unified framework clarifies the fundamental differences between protons and neutrons, their distinct electron interactions, and the vortex-mediated origin of nuclear cohesion.