The Origin of Coherent Cosmic Magnetic Fields: Dynamic Magnetic Divergence and Continuum Vorticity in the LIFE Framework

The ubiquity of coherent, microgauss-scale () magnetic fields across galaxy clusters, cosmic filaments, and pristine high-redshift systems presents an enduring conundrum in modern astrophysics. Standard cosmological magnetogenesis relies on the Biermann battery mechanism to generate minuscule seed fields (), subsequently invoking turbulent astrophysical dynamos to amplify these seeds by 15 orders of magnitude. However, gamma-ray observations by the Fermi Large Area Telescope (LAT) of TeV blazars establish a universal lower bound on the intergalactic magnetic field (IGMF) of  even in deep, pristine cosmic voids, where no galactic dynamo could ever have operated. In this paper, we demonstrate that cosmic magnetism is not a secondary, delayed byproduct of stellar and galactic dynamos, but an intrinsic, foundational property of the Local Interaction Field Equilibrium (LIFE) continuum framework (). By formulating electrodynamics via first-order relativistic frame transformations (, ), we show that Term B-4 () natively incorporates dynamic magnetic divergence  generated by localized spacetime vorticity. In the turbulent primordial plasma, non-vanishing velocity curl () directly couples with Term B-5 (magnetic Lorentz curl) and Term B-6 (gravito-inertial mass-energy coupling), establishing a self-sustaining magnetohydrodynamic continuum equilibrium with baseline field strengths  at cosmic structure emergence. This completely resolves the primordial magnetogenesis crisis without invoking fine-tuned inflation-era symmetry breaking.

Keywords: Local Interaction Field Equilibrium (LIFE Theory); Cosmic Magnetism; Primordial Magnetic Fields; Intergalactic Magnetic Field; Magnetic Divergence; Plasma Vorticity; Dynamo Theory.