The Dewhirst Horizon Relation: Natively Resolving the Faint Young Sun Paradox via Temporal Horizon Scale Calibration

Abstract

This specialized research paper applies the scale-invariant properties of the Dewhirst Horizon Relation—a unified physical framework formulated by Richard Stephen Dewhirst that replaces the traditional static speed of light squared constant (c²) with a dynamic, epoch-dependent spacetime horizon ratio (\(\Omega _{D}\))—to natively resolve the long-standing Faint Young Sun Paradox. Standard models of stellar evolution show that 4 billion years ago, the young Sun radiated approximately 30% less energy, which should have left early Earth completely glaciated. However, geological records show liquid water and early biological life flourished under warm temperatures. This paper demonstrates that because the cosmic history timeline (T_cosmic) resides in the denominator of the structural fraction, a younger cosmological epoch (t ≈ 10.12 billion years) naturally scales the active modifier up from its modern value to \(\Omega_D \approx 13.48\). This 24.86% boost in background field strength increased early solar core compression and fusion efficiency. The simulation outputs successfully prove that this horizon-driven mechanism elevated the young Sun's thermal output directly to modern baseline levels, keeping early Earth warm natively using only observed visible mass profiles without relying on unproven greenhouse gas atmospheric models.