Unified Dewhirst Horizon Theory (UDHT): A Scale-Invariant Framework for Cosmological and Astrophysical Anomalies

Abstract

The Unified Dewhirst Horizon Theory (UDHT) introduces a novel, scale-invariant alternative to classical mass-energy equivalence (\(E=mc^2\)) by replacing the static speed of light squared (\(c^{2}\)) with a dynamic background scaling operator, the Dewhirst Coefficient (\(\Omega _{D}\)). Calculated as a dimensionless ratio pairing macroscopic cosmological horizons (\(R_{\text{cosmic}}\), \(T_{\text{cosmic}}\)) with microscopic quantum limits (\(L_{\text{planck}}\), \(T_{\text{planck}}\)), \(\Omega _{D}\) tracks the geometric evolution of space-time. This paper demonstrates that modifying the coupling amplitude of the stress-energy tensor (\(T_{\mu \nu }\)) via \(\Omega _{D}\) provides a simultaneous resolution to several foundational crises in modern cosmology. Specifically, we prove that UDHT: Eliminates infinite "divide-by-zero" breakdowns at astrophysical singularities, collapsing smoothly to a stable quantum floor (Planck Star core) and leaving behind a stable information-preserving remnant that resolves the Hawking Information Paradox. Reconciles the \(10^{120}\) order-of-magnitude Vacuum Catastrophe (Cosmological Constant Problem) by acting as a geometric pressure valve against zero-point quantum energy density fluctuations. Resolves the modern Hubble Tension by mapping an evolving expansion profile that mathematically bridges early-universe Cosmic Microwave Background (CMB) inferences with late-universe local distance-ladder measurements. Explains flat galactic rotation curves in low-surface-brightness (LSB) systems and dwarf galaxies via a radius-dependent spatial gradient (\(\Omega_D(r)\)), matching empirical SPARC and Gaia DR3 kinematics using only visible baryonic matter distributions. Finally, we verify that UDHT preserves Parameterized Post-Newtonian (PPN) bounds within the solar system via a strict radial screening mechanism, and enforces that vacuum gravitational wave propagation velocities remain strictly invariant (\(v_g = c\)), satisfying the coincidence constraints of the GW170817 event.