2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184391We discuss a general method of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry. Starting from the commuting algebra in the conventional gauge, it is possible to obtain a noncommuting algebra in a nonstandard gauge. The change of variables relating the algebra in the two gauges is systematically derived using gauge/reparametrisation transformations.Title changed, manuscript modified, appendix added, references added,14 pages, LaTeXHigh Energy Physics - Theorytext