Nonextensive Entropy, Prior PDFs and Spontaneous Symmetry Breaking

Abstract

We 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.

arXiv commentSome typos and confusing lines have been fixed

References in corpus (3)

• Statistical mechanics in the context of special relativity II
• Field Theories for Learning Probability Distributions
• A New Nonextensive Entropy

Cited by in corpus (1)

• Generalized Entropy from Mixing: Thermodynamics, Mutual Information and Symmetry Breaking