Generalized Uncertainty Principle Removes The Chandrasekhar Limit
arXiv:1512.06356 · doi:10.1016/j.aop.2016.09.005
Abstract
The effect of a generalized uncertainty principle on the structure of an ideal white dwarf star is investigated. The equation describing the equilibrium configuration of the star is a generalized form of the Lane-Emden equation. It is proved that the star always has a finite size. It is then argued that the maximum mass of such an ideal white dwarf tends to infinity, as opposed to the conventional case where it has a finite value.
15 pages
References in corpus (29)
- Noncommutative Field Theory
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Background Independent Quantum Gravity: A Status Report
- Data Tables for Lorentz and CPT Violation
- Quantum gravity and minimum length
- A Generalized Uncertainty Principle in Quantum Gravity
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Testable scenario for Relativity with minimum-length
- Minimal Length Scale Scenarios for Quantum Gravity
- Generalized Lorentz invariance with an invariant energy scale
- On Gravity and the Uncertainty Principle
- The principle of relative locality
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- Doubly-Special Relativity: First Results and Key Open Problems
- Strings, Black Holes and Lorentz Contraction
- Minimum Length from Quantum Mechanics and Classical General Relativity
- Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
- Self-consistency in Theories with a Minimal Length
- Statistical physics in deformed spaces with minimal length
- Bounds on an energy-dependent and observer-independent speed of light from violations of locality
- Multi-Particle States in Deformed Special Relativity
- Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
- Relative locality and the soccer ball problem
- Quantum gravity effects on statistics and compact star configurations
- Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
- Deformed Special Relativity in Position Space
- Spacetime Foam, Holographic Principle, and Black Hole Quantum Computers
- Noncommutative spaces and covariant formulation of statistical mechanics
- Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
Cited by in corpus (24)
- Stellar structure models in modified theories of gravity: lessons and challenges
- Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
- 30 years in: Quo vadis generalized uncertainty principle?
- Zero Mass Remnant as an Asymptotic State of Hawking Evaporation
- Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit
- Fermi gas and modified gravity
- Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
- Existence of Chandrasekhar's limit in GUP white dwarfs
- Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
- On the Chandrasekhar Limit in Generalized Uncertainty Principles
- A generalized uncertainty-inspired quantum black hole
- The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
- 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
- The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
- Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
- 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
- Tidal effects based on GUP-induced effective metric
- Towards quantum Mechanics on the curved cotangent bundle
- Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
- Bose-Einstein Condensate and Liquid Helium He: Implications of GUP and Modified Gravity Correspondence
- Noncommutative dispersion relation and mass-radius relation of white dwarfs
- Prospect of Chandrasekhar's limit against modified dispersion relation