Generalized Uncertainty Principle Removes The Chandrasekhar Limit

TL;DR

This paper explores how a generalized uncertainty principle affects white dwarf stars, showing that it leads to an infinite maximum mass, challenging the traditional Chandrasekhar limit.

Contribution

It introduces a modified Lane-Emden equation incorporating a generalized uncertainty principle and demonstrates that white dwarfs can have infinite mass.

Findings

White dwarf size remains finite under the generalized uncertainty principle.

Maximum mass of white dwarfs tends to infinity with the new principle.

Traditional Chandrasekhar limit does not hold under the generalized uncertainty principle.

Abstract

The effect of a generalized uncertainty principle on the structure of an ideal white dwarf star is investigated. The equation describing the equilibrium configuration of the star is a generalized form of the Lane-Emden equation. It is proved that the star always has a finite size. It is then argued that the maximum mass of such an ideal white dwarf tends to infinity, as opposed to the conventional case where it has a finite value.