Physics Maths Engineering
Yang Liu
It is widely believed that Hawking radiation originates from excitations near the horizons of black holes [1,2,3]. However, Giddings [2] proposed that the Hawking radiation spectrum that characterizes evaporating semi-classical black holes originates from a quantum “atmosphere”, which extends beyond the horizon of a black hole. Although several research projects have been conducted in this field, they have not yet taken into account the effect of Rényi entropy. In the present article, we will therefore consider the effect of Rényi entropy on Hawking radiation power. We assume that if the effect of Rényi entropy is very small, we suggest that the Hawking radiation should originate from the quantum “atmosphere” which extends beyond the black hole’s horizon for finite dimensions. That is, that Giddings’ suggestion is the more likely of the above possibilities. However, for infinite dimensions, both suggestions are equally credible. We briefly consider the very large effect of Rényi entropy on Hawking radiation power as well. We find that if the effect of Rényi entropy is very large and ω/TBH is very small, then the power spectral density SR is proportional to the power spectral density SBH.
This study investigates the impact of Rényi entropy on Hawking radiation, a crucial concept in black hole thermodynamics. The authors explore how modifying the entropy measure can affect the radiation emitted by black holes, providing new insights into the nature of quantum gravity and black hole dynamics.
Hawking radiation refers to the theoretical radiation emitted by black holes due to quantum effects near the event horizon. It is a fundamental concept in theoretical physics, demonstrating how quantum mechanics and general relativity interact in the presence of extreme gravitational fields.
Rényi entropy is a generalization of the Shannon entropy that measures the uncertainty or information content of a system. In the context of black holes, it provides an alternative way to quantify the entropy associated with the black hole's quantum state, which plays a key role in understanding the thermodynamics of black holes.
The study demonstrates that using Rényi entropy instead of the traditional Bekenstein-Hawking entropy leads to modifications in the emission rate of Hawking radiation. These modifications have potential implications for the study of black hole thermodynamics and could provide new insights into the behavior of black holes at the quantum level.
The authors show that the incorporation of Rényi entropy modifies the Hawking radiation spectrum. The study suggests that this modification could provide a more nuanced understanding of black hole entropy and radiation, potentially offering new paths to resolving puzzles in quantum gravity and black hole information paradoxes.
This study contributes to the ongoing efforts to understand the quantum aspects of black holes. By exploring the effect of Rényi entropy on Hawking radiation, it provides a new perspective on black hole entropy, which is crucial for understanding the ultimate fate of information inside black holes and the nature of quantum gravitational systems.
The results of this study suggest that alternative entropy measures, such as Rényi entropy, may offer valuable insights into the quantum properties of black holes. Future research could explore how these modifications impact the information paradox, the stability of black holes, and the integration of quantum mechanics with general relativity in extreme conditions.
Show by month | Manuscript | Video Summary |
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2025 April | 5 | 5 |
2025 March | 98 | 98 |
2025 February | 66 | 66 |
2025 January | 84 | 84 |
2024 December | 92 | 92 |
2024 November | 69 | 69 |
2024 October | 69 | 69 |
2024 September | 75 | 75 |
2024 August | 59 | 59 |
2024 July | 54 | 54 |
2024 June | 51 | 51 |
2024 May | 67 | 67 |
2024 April | 63 | 63 |
2024 March | 78 | 78 |
2024 February | 52 | 52 |
2024 January | 65 | 65 |
2023 December | 46 | 46 |
2023 November | 60 | 60 |
2023 October | 42 | 42 |
2023 September | 32 | 32 |
2023 August | 26 | 26 |
2023 July | 46 | 46 |
2023 June | 31 | 31 |
2023 May | 46 | 46 |
2023 April | 45 | 45 |
2023 March | 44 | 44 |
2023 February | 2 | 2 |
2023 January | 5 | 5 |
2022 December | 29 | 29 |
2022 November | 65 | 65 |
2022 October | 36 | 36 |
2022 September | 36 | 36 |
2022 August | 53 | 53 |
2022 July | 47 | 47 |
2022 June | 94 | 94 |
2022 May | 41 | 41 |
2022 April | 28 | 28 |
Total | 1901 | 1901 |
Show by month | Manuscript | Video Summary |
---|---|---|
2025 April | 5 | 5 |
2025 March | 98 | 98 |
2025 February | 66 | 66 |
2025 January | 84 | 84 |
2024 December | 92 | 92 |
2024 November | 69 | 69 |
2024 October | 69 | 69 |
2024 September | 75 | 75 |
2024 August | 59 | 59 |
2024 July | 54 | 54 |
2024 June | 51 | 51 |
2024 May | 67 | 67 |
2024 April | 63 | 63 |
2024 March | 78 | 78 |
2024 February | 52 | 52 |
2024 January | 65 | 65 |
2023 December | 46 | 46 |
2023 November | 60 | 60 |
2023 October | 42 | 42 |
2023 September | 32 | 32 |
2023 August | 26 | 26 |
2023 July | 46 | 46 |
2023 June | 31 | 31 |
2023 May | 46 | 46 |
2023 April | 45 | 45 |
2023 March | 44 | 44 |
2023 February | 2 | 2 |
2023 January | 5 | 5 |
2022 December | 29 | 29 |
2022 November | 65 | 65 |
2022 October | 36 | 36 |
2022 September | 36 | 36 |
2022 August | 53 | 53 |
2022 July | 47 | 47 |
2022 June | 94 | 94 |
2022 May | 41 | 41 |
2022 April | 28 | 28 |
Total | 1901 | 1901 |