Author's Note (Preface to Version 6): "Please accept my apologies for the accidental release of the incorrect Version 5. 0; an unedited draft was uploaded in error. This corrected Version 6. 0 represents the intended and verified state of the Unified Age Theory (UAT). Based on the Friedmann equations derived from Einstein's field theory, this paper presents the Unified Age Theory (UAT), which proposes that the universe is spatially closed (k =+1). We demonstrate that the cosmic age t0 acts as a fundamental physical invariant, while the cosmic radius R and the expansion rate 𝐻0 function as adaptive geometric parameters. By liberating the FLRW metric from the zero-curvature constraint and adopting the standard matter density Omegaₘ=0. 315, we identify a Universal Equilibrium Point at of 𝐻0 = 71. 18 km/s/Mpc and a cosmic radius of 𝑅 = 33. 97 Gly. This configuration, characterized by a density ratio of rho/rhoc = 1. 1375 and a period of Tp = 77. 59 Gyr, achieves near-perfect numerical stability with the observed age of t0 ≈ 13. 79 Gyr. Our solution effectively resolves the Hubble tension by transforming it from a measurement discrepancy into a predictable property of a closed, non-Euclidean geometry.
Tibor Mazúch (Sat,) studied this question.