A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
arXiv:2401.05941 · doi:10.1088/1361-6382/ad3ac7
Abstract
Motivated by the potential connection between metric-affine gravity and linear Generalized Uncertainty Principle (GUP) in the phase space, we develop a covariant form of linear GUP and an associated modified Poincaré algebra, which exhibits distinctive behavior, nearing nullity at the minimal length scale proposed by linear GUP. We use 3-torus geometry to visually represent linear GUP within a covariant framework. The 3-torus area provides an exact geometric representation of Bekenstein's universal bound. We depart from Bousso's approach, which adapts Bekenstein's bound by substituting the Schwarzschild radius () with the radius () of the smallest sphere enclosing the physical system, thereby basing the covariant entropy bound on the sphere's area. Instead, our revised covariant entropy bound is described by the area of a 3-torus, determined by both the inner radius and outer radius where due to gravitational stability. This approach results in a more precise geometric representation of Bekenstein's bound, notably for larger systems where Bousso's bound is typically much larger than Bekensetin's universal bound. Furthermore, we derive an equation that turns the standard uncertainty inequality into an equation when considering the contribution of the 3-torus covariant entropy bound, suggesting a new avenue of quantum gravity.
arXiv comment10 pages, 1 figure, to appear in CQG
References in corpus (87)
- Dynamics of dark energy
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Decoherence, einselection, and the quantum origins of the classical
- Making Sense of Non-Hermitian Hamiltonians
- Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Thermodynamics of Spacetime: The Einstein Equation of State
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- On the Origin of Gravity and the Laws of Newton
- Lorentz invariance with an invariant energy scale
- A Generalized Uncertainty Principle in Quantum Gravity
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- A Covariant Entropy Conjecture
- The Generalized Uncertainty Principle and Black Hole Remnants
- The Thermodynamics of Black Holes
- Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A
- Minimal Length Scale Scenarios for Quantum Gravity
- The origin of the matter-antimatter asymmetry
- Universality of Quantum Gravity Corrections
- Recent Progress in Baryogenesis
- Discreteness of Space from the Generalized Uncertainty Principle
- Probing Planck-scale physics with quantum optics
- Emergent Gravity and the Dark Universe
- Non-equilibrium Thermodynamics of Spacetime
- Prospects for probing the dark energy via supernova distance measurements
- A proposal for testing Quantum Gravity in the lab
- Matter and Antimatter in the Universe
- Minimal Length Uncertainty Relation and Hydrogen Atom
- Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- Discreteness of Space from GUP II: Relativistic Wave Equations
- Inflation as a Probe of Short Distance Physics
- Born-Infeld inspired modifications of gravity
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Accelerated Cosmological Models in Ricci squared Gravity
- Quantum Uncertainty in Doubly Special Relativity
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
- Compact stars in Eddington inspired gravity
- Probing deformed commutators with macroscopic harmonic oscillators
- Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
- Testing gravity with cold atom interferometry: Results and prospects
- Surface singularities in Eddington-inspired Born-Infeld gravity
- Ghosts in metric-affine higher order curvature gravity
- A no-go theorem for polytropic spheres in Palatini f(R) gravity
- Constraining the generalized uncertainty principle with the gravitational wave event GW150914
- Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
- Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
- Instabilities in Metric-Affine Theories of Gravity
- Planck scale effects on some low energy quantum phenomena
- Universality of Einstein Equations for the Ricci Squared Lagrangians
- Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
- Relativistic Generalized Uncertainty Principle
- 30 years in: Quo vadis generalized uncertainty principle?
- Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
- The generalized and extended uncertainty principles and their implications on the Jeans mass
- Constraining the generalized uncertainty principle with cold atoms
- Generalized Dirac structure beyond the linear regime in graphene
- First-order thermodynamics of Horndeski gravity
- Palatini gravity in the solar system: post-Newtonian equations of motion and complete PPN parameters
- Baryon Asymmetry from the Generalized Uncertainty Principle
- On Quantum Gravity Tests with Composite Particles
- Extended GUP formulation and the role of momentum cut-off
- Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
- Quantum-optical tests of Planck-scale physics
- Generalized Uncertainty Principle Removes The Chandrasekhar Limit
- Regular black holes with sub-Planckian curvature
- Comparison of the Semiclassical and Quantum Dynamics of the Bianchi I Cosmology in the Polymer and GUP Extended Paradigms
- Effects of GUP in Quantum Cosmological Perfect Fluid Models
- Gravitationally induced uncertainty relations in curved backgrounds
- Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
- Quantum principle of relativity
- GUP and the no-cloning theorem
- Discreteness of Space from GUP in Strong Gravitational Fields
- Universality of minimal length
- Existence of Chandrasekhar's limit in GUP white dwarfs
- New higher-order generalized uncertainty principle: Applications
- Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case
- Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
- Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
- Modified entropies as the origin of generalized uncertainty principles
- Constraining Snyder and GUP models with low-mass stars
- On the Chandrasekhar Limit in Generalized Uncertainty Principles
- Generalized uncertainty principle and stochastic gravitational wave background spectrum
- Einstein-Rosen bridge from the minimal length
- Deformed classical-quantum mechanics transition
- Gravitational Observations and LQGUP