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.

arXiv comment20 pages including 7 figures; text is modified and references are updated: Accepted for publication in IJMPD

References in corpus (33)

• String Theory and Noncommutative Geometry
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Lorentz invariance with an invariant energy scale
• Noncommutative geometry inspired Schwarzschild black hole
• Testable scenario for Relativity with minimum-length
• 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
• Doubly Special Relativity
• Nearby Supernova Factory Observations of SN 2007if: First Total Mass Measurement of a Super-Chandrasekhar-Mass Progenitor
• Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components
• The Luminous and Carbon-Rich Supernova 2006gz: A Double Degenerate Merger?
• Fourteen Months of Observations of the Possible Super-Chandrasekhar Mass Type Ia Supernova 2009dc
• High luminosity, slow ejecta and persistent carbon lines: SN 2009dc challenges thermonuclear explosion scenarios
• Early phase observations of extremely luminous Type Ia Supernova 2009dc
• 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
• Off-Center Carbon Ignition in Rapidly Rotating, Accreting Carbon-Oxygen White Dwarfs
• Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
• Spectropolarimetry of Extremely Luminous Type Ia Supernova 2009dc: Nearly Spherical Explosion of Super-Chandrasekhar Mass White Dwarf
• A Search for New Candidate Super-Chandrasekhar-Mass Type Ia Supernovae in the Nearby Supernova Factory Dataset
• New full evolutionary sequences of H and He atmosphere massive white dwarf stars using MESA
• The Exceptionally Luminous Type Ia Supernova 2007if
• GRMHD formulation of highly super-Chandrasekhar rotating magnetised white dwarfs: Stable configurations of non-spherical white dwarfs
• Modified Einstein's gravity to probe the sub- and super-Chandrasekhar limiting mass white dwarfs: a new perspective to unify under- and over-luminous type Ia supernovae
• Continuous gravitational wave from magnetized white dwarfs and neutron stars: possible missions for LISA, DECIGO, BBO, ET detectors
• 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
• Critical Mass Transfer in Double-Degenerate Type Ia Supernovae
• Significantly super-Chandrasekhar mass-limit of white dwarfs in noncommutative geometry
• Consequence of total lepton number violation in strongly magnetized iron white dwarfs
• The thermodynamics of Fermi gases in three dimensional fuzzy space
• Spectrum of the three dimensional fuzzy well
• Revised density of magnetized nuclear matter at the neutron drip line