Entropic Unification of Forces of Nature and Resolving the Hierarchy Problem

This paper presents a unified entropic framework in which gravity, vacuum structure, and the strengths of the fundamental forces arise from the entropy content of the universe. In the Entropic Cosmological Model (ECM), geometric units of length, time, and mass are determined by the entropy density of the vacuum. This leads to an emergent gravitational constant that scales inversely with cosmic time, G(t)∝1/t, because the 2D temporal boundary ("Now") decreases in curvature as the universe expands and gains entropy. This scaling implies that gravity was dramatically stronger in the early universe—comparable to the other fundamental interactions—offering a thermodynamic resolution to the hierarchy problem. ECM also predicts a natural transition to Modified Newtonian Dynamics (MOND) when vacuum-entropy saturation prevents further 3D displacement, forcing excess entropy into the 2D temporal boundary. The resulting MOND acceleration a0 arises without tuning and agrees with the observed value. The paper derives an equation of state for the entropic vacuum, introduces natural entropic units that match early-universe Planck scales, and shows how gravitational effects emerge from spatial gradients in vacuum entropy density. The overall result is a conceptually simple, thermodynamically motivated framework that connects gravity, cosmology, and quantum-scale unification in a single entropic picture.