Generalized Statistics and Dynamics in Curved Spacetime

TL;DR

This paper explores how different quantum statistics can emerge in curved spacetime depending on dynamical models, using a generalized quon algebra and Bogoliubov transformations.

Contribution

It introduces a generalized momentum-dependent quon algebra in curved spacetime and analyzes the conditions for various statistics to occur based on dynamical models.

Findings

Different quantum statistics can occur in curved spacetime regions.

Statistics depend on Bogoliubov coefficients and dynamical evolution.

The framework generalizes previous models to include momentum dependence.

Abstract

We consider the generalized momentum-depending quon algebra in a dynamically evolving curved spacetime and perform a type of analysis similar to that of J.W.Goodison and D.J.Toms. We find that, at least in principle, all kinds of statistics may occur in some regions, i.e. phases in momentum space, depending on Bogoliubov coefficients determined by a specific dynamical model.