Derivation of the Universal Relativistic Gravitational Constant via the Hubble Radius and Cauchy-Friedmann Cosmological Formalism

Abstract

This work establishes a novel universal gravitational relativistic constant (G*) through backward derivation from Hubble radius measurements. Using the Cauchy residue theorem analogy applied to supermassive black holes as cosmological singularities and incorporating ΛCDM parameters within modified Friedmann equations, we derive G* = 2.75 × 10⁻¹² m³kg⁻¹s⁻². This constant emerges as a fundamental parameter unifying relativistic gravity and cosmic expansion dynamics, resolving the Hubble tension while maintaining compatibility with Planck mission data.