Standard magnetohydrodynamic (MHD) simulations of the Earth’s core struggle to reconcile thevast discrepancy between the theoretical Ekman number (E ∼ 10−15), which governs the ratioof viscous to Coriolis forces, and the values required for numerical stability (E ∼ 10−4). This“Viscosity Paradox” implies that the geodynamo possesses an intrinsic suppression mechanismfor small-scale turbulence that standard fluid dynamics cannot explain without arbitrary “eddyviscosity” parameters. We propose that the outer core fluid interacts with a non-associative vac-uum manifold governed by Axiomatic Physical Homeostasis (APH). We introduce a fractionalLaplacian drag term, characterized by a vacuum stiffness index β ≈ 1.91, into the Navier-Stokesequation. This “Geometric Viscosity” naturally suppresses high-wavenumber turbulence, act-ing as a low-pass filter on the fluid dynamics. Furthermore, we model Geomagnetic Jerks asdiscrete flux-tube interchange events analogous to magnetospheric substorms, and we proposethat geomagnetic reversals represent “Zero Divisor” topological resets in the underlying Sede-nion algebra of the vacuum. Numerical simulations confirm that the APH stiffness parameterreproduces the observed spectral slope of geomagnetic fluctuations.