Minimal Length, Nuclear Matter, and Neutron Stars

Abstract

In this paper, we employ one variant of the Generalized Uncertainty Principle (GUP) model, i.e., the Kempf-Mangano-Mann (KMM) model, and discuss the impact of GUP on the EoS of nuclear and neutron star matter based on the Relativistic Mean Field (RMF) model. We input the result in the Serrano-Liška (SL) gravity theory to discuss the corresponding Neutron Star (NS) properties. We have shown that the upper bound for the GUP parameter from nuclear matter properties is $\beta \le 2\times 10^{-7}$ MeV${}^{-2}$. If we used this $\beta$ upper bound to calculate NS matter, and considering SL parameter $\tilde{c}$ as an independent parameter, we have found that the upper bound for the SL parameter, which modifies the Einstein field equation, is $\tilde{c}\le 10^7$ m${}^2$. This beta upper bound is determined by considering the anisotropy magnitude smaller than the pressure magnitude. By employing $\beta =2\times 10^{-7}$ MeV${}^{-2}$ and $\tilde{c}=10^7$ m${}^2$, we obtain the mass-radius relation that satisfies NICER data for both PSR J0740+6620 (whose mass is $\sim 2.1M_{\odot }$) and PSR J0030+0451 ($M\sim 1.4M_{\odot }$). Our GUP parameter upper bound perfectly matches the constraint from ${}^{87}$Rb cold-atom-recoil experiment. If we consider that the same strength from the additional logarithmic term in the entropy from both GUP and SL model are dependent, for $\beta <2\times 10^{-7}$ MeV${}^{-2}$, it is clear that SL parameter lower bound is $\tilde{c}>-16\times 10^{-34}$ m${}^2$. The magnitude of this bound is $10^{-40}$ smaller than the upper bound magnitude of SL parameter considering as independent parameter i.e., $\tilde{c}\le 10^7$ m${}^2$.

arXiv comment14 pages, 5 figures, published in EPJC

References in corpus (53)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Determination of the Equation of State of Dense Matter
• Discreteness of area and volume in quantum gravity
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Equations of state for supernovae and compact stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Quantum Theory of Gravity I: Area Operators
• The Generalized Uncertainty Principle and Black Hole Remnants
• Black hole entropy in Loop Quantum Gravity
• Universality of Quantum Gravity Corrections
• Logarithmic correction to the Bekenstein-Hawking entropy
• Discreteness of Space from the Generalized Uncertainty Principle
• Anisotropic Stars in General Relativity
• Nonpointlike Particles in Harmonic Oscillators
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• When conceptual worlds collide: The GUP and the BH entropy
• Entanglement Equilibrium and the Einstein Equation
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Neutron matter from chiral effective field theory interactions
• Gravitational tests of the Generalized Uncertainty Principle
• Constraining the nuclear matter equation of state around twice saturation density
• Constraining the nuclear equation of state at subsaturation densities
• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• A new equation of state for neutron star matter with nuclei in the crust and hyperons in the core
• Casimir Effect in the Presence of Minimal Lengths
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Constraining the generalized uncertainty principle with cold atoms
• Nuclear Symmetry Energy Extracted from Laboratory Experiments
• Mass and charge fluctuations and black hole entropy
• How tightly is nuclear symmetry energy constrained by unitary Fermi gas?
• Optimization of relativistic mean field model for finite nuclei to neutron star matter
• Constraints on the skewness coefficient of symmetric nuclear matter within the nonlinear relativistic mean field model
• The deformation parameter of the generalized uncertainty principle
• Existence of hyperons in the pulsar PSRJ1614-2230
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• Hubble tension bounds the GUP and EUP parameters
• Bounds on GUP parameters from GW150914 and GW190521
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Quantum phenomenological gravitational dynamics: A general view from thermodynamics of spacetime
• Quantization of fields based on Generalized Uncertainty Principle
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• A follow-up to 'Does Nature abhor a logarithm?' (and apparently she doesn't)
• On the Microcanonical Entropy of a Black Hole
• Quantum probes for universal gravity corrections

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• The Science of the Einstein Telescope
• Anisotropic Durgapal-Fuloria Neutron Stars in $f(\mathcal{R},{\mathrm{T}}^2)$ Gravity
• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• Radial Oscillations and Dynamical Instability Analysis for Linear-Quadratic GUP-modified White Dwarfs
• GUP/BEB correspondence