Quantum Physics

    

The Consilience of Constants Deriving Fundamental Physics from Hydrogen and the Entropic Microstate Count

Authors: Steve P. Smith

This work posits that the fundamental constants of nature, including the gravitational constant G, are not independent parameters but emergent properties of quantum vacuum statistics. We demonstrate that the ratio of the Bohr radius to the Planck length defines a fundamental number of microstates, Ω=2N_A e for a molar system. This entropic scaling factor Ω serves as the cornerstone of a new axiomatic framework. From only the ground-state properties of the hydrogen atom (a_0 , m_e , α) and Ω, we derive the complete set of Planck units and fundamental constants with precision exceeding current experimental uncertainty in G. This framework renders gravity an entropic force—a thermodynamic consequence of the information content at the Planck scale—and provides a unified, first-principles derivation of physical law from quantum mechanics to cosmology.

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[v1] 2025-08-28 15:46:09

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