2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50260We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. We apply this framework in the model with a big negative non-minimal coupling, which incorporates a recently proposed low energy (GUT scale) mechanism of the quantum origin of the inflationary Universe and study the effects of the quantum inflaton mode.Talk at the E.S. Fradkin Memorial Conference (Moscow, June 2000); 10 pages, LaTeXHigh Energy Physics - Theorytext