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Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature |
| Rami Ahmad El-Nabulsi1,2,4,† and Waranont Anukool1,2,3 |
1 Center of Excellence in Quantum Technology, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, Thailand;
2 Quantum-Atom Optics Laboratory and Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand;
3 Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand;
4 Institute of Hydrobiology, Biology Centre of the Czech Academy of Sciences, České Budějovice, Czech Republic |
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Abstract We prove the existence of an analogy between spatial long-range interactions, which are of the convolution-type introduced in non-relativistic quantum mechanics, and the generalized uncertainty principle predicted from quantum gravity theories. As an illustration, black hole temperature effects are discussed. It is observed that for specific choices of the moment's kernels, cold black holes may emerge in the theory.
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Received: 16 October 2022
Revised: 27 November 2022
Accepted manuscript online: 16 December 2022
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PACS:
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03.65.-w
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(Quantum mechanics)
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61.50.Ah
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(Theory of crystal structure, crystal symmetry; calculations and modeling)
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Corresponding Authors:
Rami Ahmad El-Nabulsi
E-mail: el-nabulsi@atiner.gr,nabulsiahmadrami@yahoo.fr
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Cite this article:
Rami Ahmad El-Nabulsi and Waranont Anukool Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature 2023 Chin. Phys. B 32 090303
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