A Microscopic Statistical-Mechanical Refutation of the Geodynamo Hypothesis: Thermal Entropic Dissipation of Free Electrons and the Generality of Self-Reversal Remanent Magnetization

The macroscopic geodynamo hypothesis assumes that self-sustaining magnetic fields are generated and reversed by fluid convection within planetary cores. However, this mean-field approximation overlooks the microscopic quantum statistical dynamics of free electrons as discrete charge carriers, thereby conflicting with non-equilibrium thermodynamic constraints. The dimensionless microscopic entropic dissipation number, Sμ, which quantifies the ratio between the thermal entropic energy of Fermi velocity and the organizing Coriolis force, demonstrates rapid phase-space isotropization. Furthermore, the microscopic magnetic dissolution number, Dμ, evaluated at the electron mean free path scale, establishes that the conventional macroscopic magnetic freezing condition is microscopically invalidated. To account for the observed geomagnetic field fluctuations and paleomagnetic reversals recorded in basaltic stripes, a generalized macroscopic extension of Louis N'eel's self-reversal remanent magnetization framework is formulated based on differential entropic relaxation rates between multi-phase spinodal decomposition structures. This non-equilibrium relaxation framework provides a fundamental theoretical basis for the intrinsic thermodynamic stability of multi-phase magnetic domain configurations under macroscopic thermal gradients. Finally, a quantitative asymptotic critique of non-dimensional scaling limits in magnetohydrodynamic (MHD) formulations reveals that artificial viscosity exaggerations damp microscopic turbulent entropy production, generating non-physical laminar artifacts.