Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics

Resumo

An Abelian group of three-dimensional Havrda–Charvat–Daroczy entropy vectors that depend on three distributions is defined, and the composition law of vectors with quadratic nonlinearity is determined. A geometric representation of the group in global four-dimensional Finsler space is considered. Properties of nonextensive entropy vectors that depend on three distributions are derived. An additive angular measure and a three-dimensional angular vector parameter are defined.