Generalized uncertainty principle and burning stars

Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence of a non-zero minimum for length which usually appears...

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Moradpour, H, Ziaie, A H, Sadeghnezhad, N
Format: Article
Language:English
Subjects:
De Broglie wavelengths
Equipartition theorem
Parameter estimation
Perturbation
Principles
Quantum gravity
Quantum mechanics
Quantum tunnelling
Uncertainty principles
Upper bounds
Online Access:Get full text
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Summary:Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence of a non-zero minimum for length which usually appears in quantum gravity scenarios and leads to the Generalized Uncertainty principle (GUP). Mathematically, in the framework of quantum mechanics, the effects of GUP are considered as perturbation terms. Here, generalizing the de Broglie wavelength relation in the presence of minimal length, GUP correction to the Gamow's temperature is calculated and in parallel, an upper bound for the GUP parameter is estimated.
ISSN:2331-8422
DOI:10.48550/arxiv.2206.13940