Classical Physics |
Authors: Lukas Saul
We extend the spin-fluid kinetic analog gravity model of Paper I to massive charged particles.We show that the collision term in the spin-squared sector generates the quantum potential of the Madelung equations, reproducing the Schrödinger equation and yielding a formula for ħ in terms of the model's collision parameters. We then introduce the helical vortex as the soliton structure for the electron. The helical vortex has both poloidal circulation, which gives the spin, and azimuthal circulation, which gives the magnetic moment. The pitch of the helix determines the translational velocity and is always negative in the plasma reference frame. The vortex is stabilized by the Meno mechanism—orientation-dependent collisions that create an inward recoil pressure—and by the virial balance, which includes the Coulomb self-energy. We derive formulas for the electron charge, mass, and ħ in terms of the analog parameters. We show that the helical vortex reproduces the far-field electric (Coulomb), magnetic (dipole), and gravitational (Newtonian) fields, with a Yukawa correction at intermediate distances. We show that the model reproduces the full Lorentz force, Stern-Gerlach splitting, Aharonov-Bohm phase, and Larmor precession. We discuss the g − 2 anomaly and the electron electric dipole moment as targets for future quantitative work. We predict that the electron has negative active gravitational mass while the positron has positive, and we show that this is consistent with the Eöt-Wash null results because the neutron's mass is dominated by QCD binding energy, not valence quark masses. We close with a brief mention of the three families and quarks as speculative extensions.
Comments: 18 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
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[v1] 2026-10-02 16:40:22
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