Classical Physics |
Authors: Lukas Saul
We present a kinetic analog model in which the moments of a spin-fluid distribution func-tion reproduce the structure of Maxwell's equations and the gravitational field equations. Theelectromagnetic gauge field is identified with the spin-squared current, and the gravitationalpotential is identified with the base pressure. We pose the reverse kinetic problem—given afield satisfying field equations, when does a kinetic system exist whose moments reproduce it?—and classify five structural classes of kinetic systems that reproduce Maxwell's equations. Thespin-fluid model is a Type II construction. Constitutive force laws, linear in the departure fromequilibrium, close the moment hierarchy and generate the coupling between the spin sector andthe gravitational sector. The analog fluid lives in a Galilean subspace frame; the physical metricof real space is reconstructed from the propagation of the gauge field, and the Lorentz transfor-mations of special relativity emerge from the physical meter and second. The vacuum state hasfixed parameters, including a translational velocity dispersion equal to the speed of light anda spin wave speed constrained to equal the speed of light. The model predicts a torque on atorsion pendulum placed at the midplane of two counter-rotating field coil sets, with a specificscaling, sign reversal, and Lorentzian frequency response set by the spin relaxation time.
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[v1] 2026-10-02 16:37:38
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