The classical essence of black hole radiation

TL;DR

This paper demonstrates that black hole radiation can be understood through classical Fourier analysis of redshifted wave modes, providing a new perspective on deriving the blackbody spectrum for various black hole types.

Contribution

It introduces a classical interpretation of Hawking radiation using Fourier analysis, deriving the Planckian spectrum for multiple black hole solutions.

Findings

Derived the Planckian power spectrum for Schwarzschild, Reissner-Nordstrom, and Kerr black holes.

Showed that Hawking radiation can be interpreted as a classical scattering process.

Provided a unified classical framework for understanding black hole radiation.

Abstract

We show that the mathematics of Hawking process can be interpreted classically as the Fourier analysis of an exponentially redshifted wave mode which scatters off the black hole and travels to infinity at late times. We use this method to derive the Planckian power spectrum for Schwarzchild, Reissner-Nordstrom and Kerr black holes.