2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55033The nonadiabatic geometric phase in a time dependent quantum evolution is shown to provide an intrinsic concept of time having dual properties relative to the external time. A nontrivial extension of the ordinary quantum mechanics is thus obtained with interesting scaling laws. A fractal like structure in time is thus revealed.10 pages, Latex, email: dpd@nerist.ernet.in, To appear in Physics Letters AHigh Energy Physics - Theorytext