Large quantum gravity effects: Unexpected limitations of the classical theory

Abstract

3-dimensional gravity coupled to Maxwell (or Klein-Gordon) fields is exactly soluble under the assumption of axi-symmetry. The solution is used to probe several quantum gravity issues. In particular, it is shown that the quantum fluctuations in the geometry are large unless the number and frequency of photons satisfy the inequality $\mathbb{N}(\hslash G\omega {)}^2<<1$. Thus, even when there is a single photon of Planckian frequency, the quantum uncertainties in the metric are significant. Results hold also for a sector of the 4-dimensional theory (consisting of Einstein Rosen gravitational waves).

8 pages, No figures, ReVTeX

Cited by in corpus (55)

• Witnessing causal nonseparability
• Stochastic Gravity: Theory and Applications
• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• Black Holes in Loop Quantum Gravity
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Stochastic Gravity: Theory and Applications
• On the semiclassical Einstein-Langevin equation
• Linear Response, Validity of Semi-Classical Gravity, and the Stability of Flat Space
• A purification postulate for quantum mechanics with indefinite causal order
• Semiclassical States for Constrained Systems
• Renormalization and asymptotic safety in truncated quantum Einstein gravity
• Canonical quantization of cylindrical gravitational waves with two polarizations
• Quantization of Midisuperspace Models
• The covariant entropy bound and loop quantum cosmology
• On the Relation Between Fock and Schroedinger Representations for a Scalar Field
• Midi-superspace Models of Canonical Quantum Gravity
• Effective relational cosmological dynamics from Quantum Gravity
• The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory
• The Holst Spin Foam Model via Cubulations
• Back-reaction of a conformal field on a three-dimensional black hole
• Yangian Symmetry in Integrable Quantum Gravity
• Microcausality and Quantum Cylindrical Gravitational Waves
• Quantization of pure gravitational plane waves
• On the Schroedinger Representation for a Scalar Field on Curved Spacetime
• Null surfaces formulation in 3D
• Large quantum gravity effects: Cylindrical waves in four dimensions
• Large quantum gravity effects: backreaction on matter
• A new twist to preheating
• Covariant phase space for gravity with boundaries: metric vs tetrad formulations
• Quantum gravity effects in the CGHS model of collapse to a black hole
• Quantum corrected geodesics
• An Algebraic Bootstrap for Dimensionally Reduced Quantum Gravity
• New classes of black hole spacetimes in 2+1 gravity
• Generalized Virasoro anomaly and stress tensor for dilaton coupled theories
• Large quantum gravity effects and nonlocal variables
• Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
• The Paradox of Virtual Dipoles in the Einstein Action
• Time Uncertainty in Quantum Gravitational Systems
• Einstein-Yang-Mills black hole solutions in three dimensions
• Energy in first order 2+1 gravity
• Large "Dipolar" Vacuum Fluctuations in Quantum Gravity
• Transgressing the horizons: Time operator in two-dimensional dilaton gravity
• Quantized Einstein-Rosen waves, AdS_2, and spontaneous symmetry breaking
• Exact Quantization of Einstein-Rosen Waves Coupled to Massless Scalar Matter
• Asymptotic Analysis of Field Commutators for Einstein-Rosen Gravitational Waves
• Mass Inflation in Quantum Gravity
• Observable effect of quantized cylindrical gravitational waves
• Symmetry reduced Einstein gravity and generalized sigma and chiral models
• Particles and vacuum for perturbative and non-perturbative Einstein-Rosen gravity
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
• Asymptotics of Regulated Field Commutators for Einstein-Rosen Waves
• Quantum Einstein-Rosen waves: Coherent states and n-point functions
• Gravitationally induced entanglement dynamics between two quantum walkers
• Quantum Cylindrical Waves and Sigma Models
• Plane waves in quantum gravity: breakdown of the classical spacetime