Derivation of the Rydberg Constant in the Ω-Model Natural Unit System

In the Ω-model, a dual-curvature framework based on toroidal and poloidal dynamics leads naturally to a redefinition of physical constants and natural units. In this work we derive a geometric expression for the Rydberg constant. By replacing traditional SI definitions with Ω-units, the model defines a natural length unit, time unit, mass unit, and charge unit.