On the Chandrasekhar Limit in Generalized Uncertainty Principles
arXiv:2202.13904 · doi:10.1016/j.aop.2023.169287
Abstract
The Chandrasekhar limit for white dwarfs has been confirmed by many astrophysical observations. However, how to obtain it theoretically in models which rely on other-than-Heisenberg's uncertainty principles, which are predicted by some quantum gravity theories, is not a trivial task. In this manuscript, we will derive the Chandrasekhar mass assuming an uncertainty relation proposed in the framework of Doubly Special Relativity, exhibiting both a minimal length and a maximum momentum. We will show how to re-obtain an asymptotically vanishing radius for the star in the limiting subcase of the Heisenberg uncertainty principle: this is the same behavior as in the original Chandrasekhar's derivation, but not when the more popular Generalized Uncertainty Principle is assumed. We will argue that this is related to the difference in the classical limit of these two different generalized uncertainty principles, enlightening that the modified uncertainty parameter considered here behaves like a finite temperature. The role of a maximum momentum in guaranteeing the stability of the configuration, and in providing a finite pressure for the degenerate electrons' gas, is also analyzed.
arXiv commentMatches published version
References in corpus (49)
- The Physics of Neutron Stars
- Lorentz invariance with an invariant energy scale
- Type Ia Supernova Explosion Models
- A Generalized Uncertainty Principle in Quantum Gravity
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- The Generalized Uncertainty Principle and Black Hole Remnants
- Hybrid stars that masquerade as neutron stars
- The Neutron Star Mass-Radius Relation and the Equation of State of Dense Matter
- Generalized Uncertainty Principle: Approaches and Applications
- Quantum Uncertainty in Doubly Special Relativity
- Black Hole Remnants and Dark Matter
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
- String theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
- Near Infrared Imaging Survey of Bok Globules: Density Structure
- Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
- Vainshtein mechanism after GW170817
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
- The fate of large-scale structure in modified gravity after GW170817 and GRB170817A
- Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
- Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski
- Phenomenology of Doubly Special Relativity
- The Maximum Tension Principle in General Relativity
- New agegraphic dark energy model with generalized uncertainty principle
- White dwarfs and revelations
- The Edge of the Galaxy
- Maximum Tension: with and without a cosmological constant
- Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
- New generalized uncertainty principle from the doubly special relativity
- Generalized Uncertainty Principle: Implications for Black Hole Complementarity
- Derivations of group rings
- Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
- Baryon Asymmetry from the Generalized Uncertainty Principle
- Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit
- General relativity and cosmology derived from principle of maximum power or force
- Generalized Uncertainty Principle Removes The Chandrasekhar Limit
- Comparison of the Semiclassical and Quantum Dynamics of the Bianchi I Cosmology in the Polymer and GUP Extended Paradigms
- A bound on the effective gravitational coupling from semiclassical black holes
- Lower Limit on Radius as a Function of Mass for Neutron Stars
- Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
- Existence of Chandrasekhar's limit in GUP white dwarfs
- New higher-order generalized uncertainty principle: Applications
- Minimal Length, Nuclear Matter, and Neutron Stars
- A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe
- Higher-order generalized uncertainty principle corrections to the Jeans mass
- Testing gravity with the Milky Way: Yukawa potential
- Generalized uncertainty principle and stochastic gravitational wave background spectrum
- Interacting Dark Side of Universe Through Generalized Uncertainty Principle
- A proposal for Heisenberg uncertainty principle and STUR for curved backgrounds: an application to white dwarf, neutron stars and black holes
- Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
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- A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
- Radial Oscillations and Dynamical Instability Analysis for Linear-Quadratic GUP-modified White Dwarfs
- PSR J12276208 and its massive white dwarf companion: pulsar emission analysis, timing update and mass measurements
- Bose-Einstein Condensate and Liquid Helium He: Implications of GUP and Modified Gravity Correspondence
- Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
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