The Liquid Spinor Vacuum Framework: Architecture of Leptomagnetism - Rigorous derivation of anomalous magnetic moments of leptons from barotropic nonlinearity and inertial resistance of the Supersolid

This paper presents an analytical solution to the problem of anomalous magnetic moments of leptons through the formalism of retardative elastodynamics. Utilizing the Substrate evolution Lagrangian, we derive two fundamental corrections from first principles: the Palla-McCulloch Inertial Correction, arising from the hydrodynamic drag (Added Mass) of the ETOM lattice, and the Palla Barotropic Correction, describing the deflection in external magnetic fields. We demonstrate that the hierarchy of lepton masses and anomalies is enforced by the boundary conditions of the Kirchhoff rod at quantized resonance scales 10^n. The work presents a possible explanation for the divergent results of electron measurements (Cesium vs. Harvard) and proposes an explanation for the Fermilab results for the muon, offering an alternative approach to probabilistic QED.