The Dewhirst Horizon Relation: Resolving Relativistic Singularities and Vacuum Energy Scaling Through Cosmological Horizon Ratios

This paper formally registers the conceptual framework, mathematical layout, and astrophysical implications of the Dewhirst Horizon Relation. Conceived independently by Richard Stephen Dewhirst, this framework introduces a dynamic alternative to standard mass-energy equivalence (E=mc²) by replacing the rigid speed of light squared constant (c²) with an evolving, self-balancing scalar modifier—the Dewhirst Coefficient (ΩD).Originating from a unique visual shorthand that nests macro-cosmological time horizons over infinitesimal quantum instants, the relation is formally balanced using spatial boundary horizons (Rcosmic𝑅cosmicand Lplanck𝐿planck) to achieve absolute dimensional consistency.This paper demonstrates two critical applications of the framework:At the time-zero epoch of the Big Bang, the dynamic scale factor collapses perfectly into a value of 1, revealing E=mc² as the initial starting seed of cosmic expansion rather than a static eternity rule.Within high-energy astrophysical event horizons, the relation eliminates classical General Relativity's infinite 'divide-by-zero' singularity traps. It establishes a stable, high-density quantum floor (a Planck Star core) and introduces an inversion metric where black hole interiors model isolated, expanding baby universes.By bridging macroscopic cosmological horizons directly with microscopic quantum limits, the Dewhirst Horizon Relation offers a novel approach to the Cosmological Constant Problem and the unification of quantum mechanics with large-scale relativity."