Can the Quantization of Black Hole be detected?

TL;DR

This paper proposes a novel method using Carnot cycles to detect black hole quantization by observing quantized work output, providing an indirect verification approach for a fundamental quantum property of black holes.

Contribution

It introduces a new approach to verify black hole quantization through thermodynamic cycles, linking quantum properties with observable work quantization.

Findings

Work W is quantized if black holes have quantized energy levels

The second law of thermodynamics holds under black hole quantization assumptions

Contrast with classical Carnot cycle supports quantum black hole properties

Abstract

As a mysterious celestial body predicted by General Relativity, black holes have been confirmed by observations in recent years. But there are still many unknown properties waiting for us to discover, one of the famous problems is the quantization of black holes. The quantization of black holes gives new research significance to black holes, but the quantization of black holes is difficult to prove. Here we propose a new method to verify the quantization of black holes: Carnot cycle. Our results show that if the black holes have quantized energy levels, the work W they impose to us via the Carnot cycle should also be quantized. We indirectly verify the quantization of black holes by detecting the quantization of W, and contrast it with the classic Carnot cycle. In addition, we have also verified the correctness of the second law of thermodynamics under the premise of considering the quantization of black holes.