2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172315We show that using nonextensive entropy can lead to spontaneous symmetry breaking when a parameter changes its value from that applicable for a symmetric domain, as in field theory. We give the physical reasons and also show that even for symmetric Dirichlet priors, such a defnition of the entropy and the parameter value can lead to asymmetry when entropy is maximized.Some typos and confusing lines have been fixedStatistical MechanicsAdaptation and Self-Organizing SystemsData Analysis, Statistics and Probabilitytext