On Infinite Quon Statistics and "Ambiguous" Statistics

TL;DR

This paper critically analyzes the relationship between 'ambiguous' statistics and infinite quon statistics, demonstrating they are distinct and challenging previous claims about their applicability to extremal black holes.

Contribution

The paper clarifies the differences between 'ambiguous' and infinite quon statistics and refutes their equivalence in describing extremal black holes.

Findings

'Ambiguous' statistics are not equivalent to infinite quon statistics.

The description of extremal black holes using 'ambiguous' statistics is invalid.

The two statistical frameworks are fundamentally different.

Abstract

We critically examine a recent suggestion that "ambiguous" statistics is equivalent to infinite quon statistics and that it describes a dilute, nonrelativistics ideal gas of extremal black holes. We show that these two types of statistics are different and that the description of extremal black holes in terms of "ambiguous" statistics cannot be applied.