Generalized uncertainty principle and burning stars

TL;DR

This paper explores how the Generalized Uncertainty Principle (GUP), stemming from quantum gravity theories, modifies Gamow's theory of stellar burning by calculating GUP corrections to the temperature and estimating bounds for the GUP parameter.

Contribution

It generalizes the de Broglie wavelength relation under GUP and derives the resulting correction to Gamow's temperature, providing an upper bound for the GUP parameter.

Findings

GUP introduces perturbation corrections to Gamow's temperature.

An upper bound for the GUP parameter is estimated.

The results suggest measurable effects of quantum gravity on stellar processes.

Abstract

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.