Super-Chandrasekhar limiting mass white dwarfs as emergent phenomena of noncommutative squashed fuzzy spheres

TL;DR

This paper proposes that super-Chandrasekhar white dwarfs can be explained as emergent phenomena from noncommutative geometry, specifically using squashed fuzzy spheres, providing a novel theoretical framework without ad-hoc assumptions.

Contribution

It introduces a model based on noncommutative squashed fuzzy spheres to explain super-Chandrasekhar white dwarfs, avoiding previous model drawbacks.

Findings

Super-Chandrasekhar white dwarfs can be explained by noncommutative geometry.

The noncommutative length-scale is an emergent phenomenon.

The model self-consistently accounts for observed massive white dwarfs.

Abstract

The indirect evidence for at least a dozen massive white dwarfs violating the Chandrasekhar mass-limit is considered to be one of the wonderful discoveries in astronomy for more than a decade. Researchers have already proposed a diverse amount of models to explain this astounding phenomenon. However, each of these models always carries some drawbacks. On the other hand, noncommutative geometry is one of the best replicas of quantum gravity, which is yet to be proved from observations. Madore introduced the idea of a fuzzy sphere to describe a formalism of noncommutative geometry. This article shows that the idea of a squashed fuzzy sphere can self-consistently explain the super-Chandrasekhar limiting mass white dwarfs. We further show that the length-scale beyond which the noncommutativity is prominent is an emergent phenomenon, and there is no prerequisite for an ad-hoc length-scale.