Version 1
: Received: 3 September 2024 / Approved: 4 September 2024 / Online: 4 September 2024 (08:29:56 CEST)
Version 2
: Received: 5 September 2024 / Approved: 6 September 2024 / Online: 6 September 2024 (09:41:16 CEST)
How to cite:
Sonnino, G. Harmonizing Quantum Gravity with Thermodynamics: Determination of the EUP Parameter by Prigogine’s Law. Preprints2024, 2024090298. https://doi.org/10.20944/preprints202409.0298.v2
Sonnino, G. Harmonizing Quantum Gravity with Thermodynamics: Determination of the EUP Parameter by Prigogine’s Law. Preprints 2024, 2024090298. https://doi.org/10.20944/preprints202409.0298.v2
Sonnino, G. Harmonizing Quantum Gravity with Thermodynamics: Determination of the EUP Parameter by Prigogine’s Law. Preprints2024, 2024090298. https://doi.org/10.20944/preprints202409.0298.v2
APA Style
Sonnino, G. (2024). Harmonizing Quantum Gravity with Thermodynamics: Determination of the EUP Parameter by Prigogine’s Law. Preprints. https://doi.org/10.20944/preprints202409.0298.v2
Chicago/Turabian Style
Sonnino, G. 2024 "Harmonizing Quantum Gravity with Thermodynamics: Determination of the EUP Parameter by Prigogine’s Law" Preprints. https://doi.org/10.20944/preprints202409.0298.v2
Abstract
In 1974, Stephen Hawking made the groundbreaking discovery that black holes emit thermal radiation, characterized by a specific temperature now known as the Hawking temperature. While his original derivation is intricate, retrieving the exact expressions for black hole temperature and entropy in a simpler, more intuitive way without losing the core physical principles behind Hawking's assumptions is possible. This is obtained by employing the Heisenberg uncertainty principle which is known to be connected to the the vacuum fluctuation. This exercise allows us to easily perform more complex calculations involving the effects of quantum gravity. This work aims to answer the following question: \textit{Is it possible to reconcile Prigogine's second law of thermodynamics for open systems and the second law of black hole dynamics with Hawking radiation}? Due to the effects of quantum gravity, the Heisenberg uncertainty principle has been extended to the Generalized Uncertainty Principle (GUP) and successively to the Extended Uncertainty Principle (EUP). The expression for the EUP parameter is obtained by conjecturing that Prigogine's second law of thermodynamics and the second law of black holes are not violated by Hawking thermal radiation mechanism.
Keywords
Hawking radiation mechanism; Vacuum fluctuations; Physics of black holes
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright:
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.
