title: Possible physical meaning of the Tsallis entropy parameter.
abstract: Since the proposal of the Tsallis generalized entropy, the general explanation of the role played by the parameter q that defines which specific entropy to pick among a whole family, remained somewhat partial and tentative, although some particular examples were taken into account specifically. The purpose of the present paper is to present a rigorous formal derivation of a mathematical expression giving the parameter q in terms of the momentum fluctuations of a stochastic process, thus furnishing at least one of its possible physical origins.
authors.affiliation: Universidade de Brasilia-UnB, Instituto de Fisica, 70919-970, Caixa Postal 04455 Brasilia, Distrito Federal, Brazil.
authors.forename: L S
authors.initials: LS
authors.lastname: Olavo