Consistency Conditions for Astrons

We reassess the consistency conditions for a hypothetical population of primordial, electrically charged compact objects, here called astrons. This paper formulates astrons not as a completed model, but as a set of quantitative consistency tests for a primordial large-charge compact-object scenario. The fiducial phenomenological parameters, MA∼1012M⊙, QA∼4×1032C, and megaparsec-scale separations, are treated as a benchmark to be tested rather than as an established outcome of the model. We show explicitly that ordinary accretion-driven charge separation produces charges only of order 1011–1014C for this mass, leaving an 18–21 order-of-magnitude gap relative to the fiducial branch. Thus the large-charge branch, if it exists, must arise from a primordial charge-concentration mechanism not supplied by the minimal capture model. Likewise, the failure of linear Debye–Hückel screening in the enormous electrostatic potential of an astron does not demonstrate charge survival; it identifies a nonlinear neutralization and kinetic-transport problem. Finally, a cosmologically relevant abundance of 1012M⊙ compact objects requires mean separations of several megaparsecs and must satisfy discreteness, Poisson-power, clustering, and dynamical constraints. The homogeneous Coulomb interaction energy scales as a−4, so it cannot by itself act as a late-time cosmological constant. Moreover, the Lorentz force acts directly only on charged astrons, not on the no-net-charge population of galaxies, photons and neutral dark matter. Any viable cosmological implementation must therefore derive a metric-level or domain-averaged acceleration shared by the neutral cosmic flow, rather than merely a pairwise repulsion among charged sources.