Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit

Abstract

It was previously argued that generalized uncertainty principle (GUP) with a positive parameter removes the Chandrasekhar limit. One way to restore the limit is by taking the GUP parameter to be negative. In this work we discuss an alternative method that achieves the same effect: by including a cosmological constant term in the GUP (known as "extended GUP" in the literature). We show that an arbitrarily small but nonzero cosmological constant can restore the Chandrasekhar limit. We also remark that if the extended GUP is correct, then the existence of white dwarfs gives an upper bound for the cosmological constant, which -- while still large compared to observation -- is approximately 86 orders of magnitude smaller than the natural scale.

7 pages, 5 figures. Improved discussions accepted by PRD

References in corpus (13)

• Universality of Quantum Gravity Corrections
• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Natural extension of the Generalised Uncertainty Principle
• Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Analysis of White Dwarfs with Strange-Matter Cores
• White dwarfs as test objects of Lorentz violations
• Effects of the Generalized Uncertainty Principle on Compact Stars
• Uncertainty principle on 3-dimensional manifolds of constant curvature
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry

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