Lorentz violation and generalized uncertainty principle

Abstract

Investigations on possible violation of Lorentz invariance have been widely pursued in the last decades, both from theoretical and experimental sides. A comprehensive framework to formulate the problem is the standard model extension (SME) proposed by A.Kostelecky, where violation of Lorentz invariance is encoded into specific coefficients. Here we present a procedure to link the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the SME coefficients of the gravity sector. The idea is to compute the Hawking temperature of a black hole in two different ways. The first way involves the deformation parameter $\beta$, and therefore we get a deformed Hawking temperature containing the parameter $\beta$. The second way involves a deformed Schwarzschild metric containing the Lorentz violating terms ${\bar{s}}^{\mu \nu }$ of the gravity sector of the SME. The comparison between the two different techniques yields a relation between $\beta$ and ${\bar{s}}^{\mu \nu }$. In this way bounds on $\beta$ transferred from ${\bar{s}}^{\mu \nu }$ are improved by many orders of magnitude when compared with those derived in other gravitational frameworks. Also the opposite possibility of bounds transferred from $\beta$ to ${\bar{s}}^{\mu \nu }$ is briefly discussed.

9 pages, no figures

References in corpus (13)

• Universality of Quantum Gravity Corrections
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• GUP parameter from quantum corrections to the Newtonian potential
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
• Testing Lorentz symmetry with Lunar Laser Ranging
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Matter and gravitons in the gravitational collapse
• Generalized Uncertainty Principle as a Consequence of the Effective Field Theory
• Thermal corpuscular black holes

Cited by in corpus (60)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Generalized Uncertainty Principle and Corpuscular Gravity
• 30 years in: Quo vadis generalized uncertainty principle?
• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients
• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• Phenomenology of GUP stars
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Generalized uncertainty principle and Asymptotic Safe gravity
• Generalized uncertainty principle or curved momentum space?
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Scale--dependent Hayward black hole and the generalized uncertainty principle
• Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Reconciling a quantum gravity minimal length with lack of photon dispersion
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• Minimal and maximal lengths from position-dependent noncommutativity
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• Planck Stars from a Scale-dependent Gravity theory
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Hawking Radiation Under Generalized Uncertainty Principle
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Higher-order generalized uncertainty principle corrections to the Jeans mass
• A generalized uncertainty-inspired quantum black hole
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Constraining the generalized uncertainty principle with neutron interferometry
• Position-dependent mass in strong quantum gravitational background fields
• Constraining GUP Models Using Limits on SME Coefficients
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Generalized entropic gravity from modified Unruh temperature
• Testing Short Distance Anisotropy in Space
• Ontological states and dynamics of discrete (pre-)quantum systems
• Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• Scattering and absorption by extra-dimensional black holes with GUP
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
• A proposal for Heisenberg uncertainty principle and STUR for curved backgrounds: an application to white dwarf, neutron stars and black holes
• On the algebraic approach to GUP in anisotropic space
• Violation of the equivalence principle in curvature based extended gravity at finite temperature
• Towards quantum Mechanics on the curved cotangent bundle
• Bound states in the continuum are universal under the effect of minimal length
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Lorentzian Vacuum Transitions with a Generalized Uncertainty Principle
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM
• Emergent GUP from Modified Hawking Radiation in Einstein-NED Theory
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Lorentz and gauge invariance of quantum space
• Spontaneous Lorentz symmetry violation from infrared gravity
• GUP-corrected $\Lambda$CDM cosmology