Nonextensive Entropy, Prior PDFs and Spontaneous Symmetry Breaking

TL;DR

This paper demonstrates that nonextensive entropy can induce spontaneous symmetry breaking in systems, even with symmetric priors, by analyzing how entropy maximization depends on a key parameter.

Contribution

It reveals that nonextensive entropy can cause symmetry breaking phenomena, providing physical insights and extending understanding of entropy's role in symmetry properties.

Findings

Nonextensive entropy can induce symmetry breaking.

Symmetric priors can lead to asymmetry when entropy is maximized.

Parameter changes influence symmetry properties in entropy-based models.

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.