No generalized statistics from dynamics in curved spacetime

TL;DR

This paper investigates how quon statistics evolve in a curved spacetime with flat regions before and after a gravitational event, concluding that consistent evolution restricts the statistics to fermionic or bosonic types.

Contribution

It demonstrates that generalized quon commutation relations cannot evolve consistently through curved spacetime unless they are standard fermionic or bosonic.

Findings

Consistent evolution of quon statistics requires q = ±1.

Gravitationally induced particle creation affects quantum statistics.

Generalized statistics cannot smoothly transition in curved spacetime.

Abstract

We consider quon statistics in a dynamically evolving curved spacetime in which prior to some initial time and subsequent to some later time is flat. By considering the Bogoliubov transformations associated with gravitationally induced particle creation, we find that the consistent evolution of the generalized commutation relations from the first flat region to the second flat region can only occur if $q = \pm 1$.