Mathematical Derivation of the 13-fold Eddington Limit Exceedance in Field Ontology: Implications of Universal Matter Deficit and the Glushkov Switch Mechanism

Abstract: This paper provides a theoretical justification for the observed 13-fold exceedance of the Eddington limit in high-redshift objects, specifically the quasar eFEDS J084222. 9+001000 (ID830). Within the framework of "Field Ontology" and the "Indexed Model of Infinity, " we demonstrate that such phenomena are not transient anomalies but steady-state manifestations of matter influx from multidimensional field indices into the observed x, y, z manifold. We argue that the high expansion velocity of the Universe creates a fundamental "matter deficit, " preventing the formation of gravitational singularities (Black Holes). Instead, these objects function as "open ports" or transitional nodes in the field parenchyma. The coefficient k 13 is derived as a function of the permeability of the Sovereign Filters associated with index F (35, 145, 231).