# Maxwell-Boltzmann type Hawking radiation

## TL;DR

This paper proposes that black hole Hawking radiation follows a Maxwell-Boltzmann distribution rather than the traditional Planck spectrum, based on the distinguishability of horizon area quanta.

## Contribution

It introduces a novel derivation showing Hawking radiation spectrum as Maxwell-Boltzmann, challenging the standard Bose-Einstein assumption.

## Key findings

- Hawking radiation spectrum is Maxwell-Boltzmann, not Bose-Einstein.
- Black hole horizon area quanta are distinguishable, affecting entropy calculations.
- Revises understanding of black hole radiation spectrum based on quantum area quantization.

## Abstract

Twenty years ago, Rovelli proposed that the degeneracy of black hole (i.e. the exponential of the Bekenstein-Hawking entropy) is given by the number of ways the black hole horizon area can be expressed as a sum of unit areas. However, when counting the sum, one should treat the area quanta on the black hole horizon as distinguishable. This distinguishability of area quanta is noted in Rovelli's paper. Building on this idea, we derive that the Hawking radiation spectrum is not given by Planck radiation spectrum (i.e., Bose-Einstein distribution) but given by Maxwell-Boltzmann distribution.