Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities

TL;DR

This paper explores how a negative parameter in the generalized uncertainty principle can resolve conflicts between quantum gravity effects and astrophysical observations of white dwarfs and black holes, providing insights into Planck scale physics.

Contribution

It demonstrates that choosing a negative GUP parameter restores the Chandrasekhar limit and aligns quantum gravitational corrections with astrophysical data.

Findings

Negative GUP parameter preserves the Chandrasekhar limit.

Quantum corrections lead to finite black hole remnants.

Planck scale physics implications discussed.

Abstract

It is often argued that quantum gravitational correction to the Heisenberg's uncertainty principle leads to, among other things, a black hole remnant with finite temperature. However, such a generalized uncertainty principle also seemingly removes the Chandrasekhar limit, i.e., it permits white dwarfs to be arbitrarily large, which is at odds with astrophysical observations. We show that this problem can be resolved if the parameter in the generalized uncertainty principle is negative. We also discuss the Planck scale physics of such a model.