Is the Rindler horizon energy nonvanishing ?

TL;DR

This paper proposes that the Rindler horizon has a nonzero energy, analogous to the Schwarzschild horizon, using a formula similar to Padmanabhan's, suggesting a deeper connection between horizon energies.

Contribution

It introduces a novel analogy between Rindler and Schwarzschild horizons, deriving a nonzero energy expression for the Rindler horizon based on established Schwarzschild results.

Findings

Rindler horizon energy is given by E = α/2.

The formula matches that of Schwarzschild horizon energy.

Supports the idea of horizon energy being nonvanishing.

Abstract

A nonvanishing value for the Rindler horizon energy is proposed, by an analogy with the "near horizon" Schwarzschild metric. We show that the Rindler horizon energy is given by the same formula $E = \alpha/2$ obtained by Padmanabhan for the Schwarzschild spacetime, where $\alpha$ is the gravitational radius.