The Hubble tension, representing a ∼ 8.4% discrepancy between early-universe and late-universe measurements of the Hubble constant H0, stands as one of the most significant challenges in modern cosmology. We present the Unified Appli cable Time (UAT) framework, which resolves this tension through quantum gravi tational effects derived from Loop Quantum Gravity (LQG). The UAT framework introduces a fundamental parameter kearly that modifies the early universe expan sion history, reducing the sound horizon rd by approximately 3.6% while maintain ing the locally measured H0 = 73.0 km/s/Mpc. Comprehensive Bayesian analy sis yields decisive evidence for UAT over ΛCDM (lnB01 = 12.64), with excellent f it to BAO data (χ2 = 48.47). This work provides a physically motivated so lution to the Hubble tension while maintaining consistency with all cosmological observations. Code and data available at: https://github.com/miguelpercu/ Resolviendo-la-Tension-de-Habble-con-UAT