Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle

TL;DR

This paper addresses the divergence issue of the Chandrasekhar limit caused by the generalized uncertainty principle (GUP) by deriving a field-dependent parameter that explains the negative sign's role in limiting momentum uncertainty, restoring a finite white dwarf mass limit.

Contribution

It introduces a field-dependent GUP parameter that explains the negative sign and prevents divergence in the white dwarf mass limit, providing a deeper theoretical understanding.

Findings

Negative GUP parameter limits momentum uncertainty.

Field-dependent parameter explains sign change.

Restores finite Chandrasekhar mass limit.

Abstract

The usual generalized uncertainty principle will lead to a divergent mass limit of white dwarf, and this divergence should be prevented for both scenarios including positive and negative parameters of generalized uncertainty principle. Although it has been shown that negative parameter can directly restore the mass limit, the underlying reason is not given to explain why the negative sign appears under the condition of white dwarf. In order to solve this problem, we derive a field-dependent parameter expression whose sign can change depending on the species of spin fields. Besides, we find that the actual physical effect of the negative sign is aimed at limiting the exorbitant uncertainty of momentum.