Area Entropy and Quantized Mass of Black Holes from Information Theory
1
College of Physics & Electronic Engineering, Xianyang Normal University, Xianyang 712000, China
2
School of Information and Communication Engineering, Hainan University, Haikou 570228, China
3
State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
4
Peng Huanwu Center for Fundamental Theory, Hefei 230026, China
*
Author to whom correspondence should be addressed.
Academic Editor: Hideo Iguchi
Entropy 2021, 23(7), 858; https://doi.org/10.3390/e23070858
Received: 31 May 2021
/
Revised: 25 June 2021
/
Accepted: 30 June 2021
/
Published: 3 July 2021
(This article belongs to the Special Issue Advances in Black Hole Thermodynamics)
In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.
View Full-Text
Keywords:
black hole entropy; information theory; Rayleigh criterion
▼
Show Figures
Figure 1
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
He, D.; Cai, Q. Area Entropy and Quantized Mass of Black Holes from Information Theory. Entropy 2021, 23, 858. https://doi.org/10.3390/e23070858
AMA Style
He D, Cai Q. Area Entropy and Quantized Mass of Black Holes from Information Theory. Entropy. 2021; 23(7):858. https://doi.org/10.3390/e23070858
Chicago/Turabian StyleHe, Dongshan, and Qingyu Cai. 2021. "Area Entropy and Quantized Mass of Black Holes from Information Theory" Entropy 23, no. 7: 858. https://doi.org/10.3390/e23070858
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
