Comment on "Quantum Tunneling Beyond Semiclassical Approximation" by R. Banerjee and B. R. Majhi (and many others!)

TL;DR

This paper critically examines recent claims of higher-order corrections to Hawking temperature via tunneling methods, arguing that such corrections are not supported when proper definitions are used.

Contribution

The paper clarifies misconceptions in recent tunneling approach studies and demonstrates that no higher-order Hawking temperature corrections exist under correct assumptions.

Findings

No higher-order corrections to Hawking temperature from tunneling methods

Highlights issues with energy definitions in tunneling derivations

Critiques recent claims of corrections in the literature

Abstract

We discuss recent work which has found, using a tunneling approach, higher-order terms in the Hawking temperature. We highlight a few important issues in the derivation, such as a misleading definition of energy, and criticize some of the conclusions that have been reached. In particular, we conclude that contrary to many recent claims, the tunneling method yields no higher-order corrections to the Hawking Temperature.