2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/17408In the present work is presented some considerations for a possible generalization of the Microcanonical thermoestatics (M.Th) of D.H.E. Gross.The same reveals a geometric aspect that commonly it has been disregarded so far: the local reparametrization invariance . This new characteristic leads to the needing of generalizing the methods of M.Th to be consequent with this property.4pages, RevTeX. Revised versionCondensed Mattertext