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Miguel ´ AngelPercudani ORCID:0009-0007-1748-3212 IndependentResearcher,BuenosAires,Argentina April14,2026 Abstract TheUnifiedApplicableTime(UAT)frameworkprovidesaphysicallymotivatedresolu tiontotheHubbletensionbyincorporatingrelativisticandLoopQuantumGravity(LQG) corrections into the cosmological time evolution. This document presents the complete mathematical formalismofUAT,definingthefundamental timeequation, introducingthe phenomenological parameterkearly, andderiving themodifiedFriedmannequation. The modelachievesasuperiorstatisticalfittoBAOdata(χ2=53.7vs.ΛCDM’s88.9)andnat urallyfixesH0=73.00km/s/Mpc. Additionally, atechnicalnoteclarifiesthedistinction betweenthefundamentalcausalconstantκcritandthederivedearly-timecorrectionfactor kearly, thelattertakingthevaluekearly≈1.0713inthelatestcalibration https://doi.org/10.5281/zenodo.19564021
Percudani M. A. 2026. Unified Applicable Time (UAT) Framework: Mathematical Formalismand Causal Constants. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114947
