We systematically derive the Holographic Ring Theory (HRT) corrections to the fundamental equations of physics, recast within the Holographic Unit System (HUS). In this updated framework, all dimensionful quantities are expressed as integer combinations of holographic flux, phase, frequency, and cycle quanta, and all gauge couplings arise from integer weighted π-polynomials. We present enhanced versions of Newton’s laws, Maxwell’s equations, Schrödinger’s equation, Dirac’s equation, Einstein’s field equations, and the Standard Model Lagrangian, each containing additional terms arising from the τ -dimension, torsional coupling, and polynomial constraint structure.