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

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.

20 pages including 7 figures; text is modified and references are updated: Accepted for publication in IJMPD

References in corpus (10)

• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• The Luminous and Carbon-Rich Supernova 2006gz: A Double Degenerate Merger?
• New mass limit for white dwarfs: super-Chandrasekhar type Ia supernova as a new standard candle
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Mass of highly magnetized white dwarfs exceeding the Chandrasekhar limit: An analytical view
• Timescales for detection of super-Chandrasekhar white dwarfs by gravitational wave astronomy
• Spectrum of the three dimensional fuzzy well
• Revised density of magnetized nuclear matter at the neutron drip line