MUT Theory v6.7: A Unified Field Framework for Mass Generation, Force Scaling, and Cosmological Dynamics

MUT 6.7 presents the complete Mass–Energy–Topology–Expansion framework as a unified scalar field theory centered on the Mass Curvature Rate (MCR) field. The theory defines mass as an emergent local minimum of a fundamental curvature frequency and derives the speed of light through the relation �.By coupling the MCR ground state to Planck-scale physics, the framework reproduces the gravitational constant � and the fine-structure constant �, demonstrating a unified mathematical origin for electromagnetic, gravitational, and quantum interaction strengths.The hierarchy problem is resolved by showing that gravitational weakness arises naturally from the mass ratio �. Furthermore, spatial variations of the MCR frequency provide a mechanism for dark matter (enhanced effective mass under reduced frequency) and dark energy (repulsive expansion under elevated frequency).MUT 6.7 establishes a single scalar frequency field as the regulator of physical constants across particle, force, and cosmological scales.