The Hubble Tension (H0) stands as one of the most significant anomalies in modern cos mology, representing an ∼ 8.4% discrepancy between early-universe constraints (Planck, H0 ≈ 67.4 km/s/Mpc) and local measurements (SH0ES, H0 ≈ 73.0 km/s/Mpc). We present the Unified Applicable Time (UAT) Framework, a novel investigation that resolves this tension by incorporat ing quantum gravitational corrections, specifically derived from Loop Quantum Gravity (LQG), into the early universe expansion history. The core of UAT is condensed into a single fundamen tal phenomenological parameter, kearly, which modifies the expansion rate before recombination. Through a comprehensive Bayesian MCMC analysis (CMB + BAO), our results demonstrate a decisive and consistent solution: we constrain H0 = 73.00±0.82 km/s/Mpc with a reduced sound horizon rd = 141.00 ± 1.1 Mpc. The optimal fit requires kearly = 0.967 ± 0.012, corresponding to an effective 3.3% reduction in early-time density. Bayesian evidence is decisive (lnB01 = 12.64) in favor of UAT over ΛCDM. Crucially, we show the statistical incompatibility of UAT with simple ΛCDM extensions (e.g., PBHs), suggesting the need for a fundamental re-evaluation of the entire ΛCDM paradigm under this new physics