2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119075I describe the footprints of the classical chaos of the Yang-Mills fields in the quantum description. I also review the behavior of the BKL chaotic approach to the classical singularity on the basis of the Loop Quantum Gravity.15 pages, based on the invited talk to the MG11 meeting in Berlin, Germany, July 23-29, 2006High Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - Phenomenologytext