Unified age of the universe hypothesis vs Hubble tension

Instead of searching for systematic errors in Hubble constant (H0 ) measurements, this paper proposes a unification through a universal parameter: the unified age of the universe. By applying the Friedmann equations in their full form—without the a priori assumption of flatness—and assigning a specific Radius to each measured H0 value, we demonstrate that the perceived "Hubble tension" vanishes. Our results show a drastic reduction in the age estimation error: from a discrepancy of 1.14 billion (109) years in the standard flat LCDM model to a mere 2,000 years (0.000002 Gyr - Giga years) in the proposed model. This stability (99.937% consistency) suggests that the universe's age is an invariant physical constant, while curvature and radius are dynamical parameters of a "cosmic wardrobe." The presented calculation is transparent and can be easily verified by anyone using standard numerical tools.