The strange equation of quantum gravity

Abstract

Disavowed by one its fathers, ill defined, never empirically tested, the Wheeler-DeWitt equation has nevertheless had a powerful influence on fundamental physics. A well deserved one.

arXiv commentAppeared in the Classical and Quantum Gravity Focus issue: Milestones of general relativity. 7 pages

References in corpus (10)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Dynamics of General Relativity
• The Spin Foam Approach to Quantum Gravity
• Spin Networks and Quantum Gravity
• A Quantum Gravity Extension of the Inflationary Scenario
• Unitarity and Holography in Gravitational Physics
• AdS/CFT correspondence and Geometry
• Reconstructing AdS/CFT
• Introduction to Loop Quantum Gravity
• Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators

Cited by in corpus (23)

• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• Is the Wheeler -- DeWitt equation more fundamental than the Schrödinger equation?
• Canonical analysis of $n$-dimensional Palatini action without second-class constraints
• Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe
• Watching the Clocks: Interpreting the Page-Wootters Formalism and the Internal Quantum Reference Frame Programme
• Semiclassical solutions of generalized Wheeler-DeWitt cosmology
• Barbero's formulation from a $BF$-type action with the Immirzi parameter
• A Wheeler-DeWitt Equation with Time
• The birth of the Universe as a result of the change of the metric signature
• Schrödinger from Wheeler-DeWitt: The Issues of Time and Inner Product in Canonical Quantum Gravity
• The Concept of Time: A Grand Unified Reaction Platform
• Wheeler-DeWitt equation and the late gravitational collapse: effects of factor ordering and the tunneling scenario
• Wave function of the Universe, path integrals and gauge invariance
• Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories
• Evidence for Planck Luminosity Bound in Quantum Gravity
• The decoherence and interference of cosmological arrows of time for a de Sitter universe with quantum fluctuations
• Time, space and matter in the primordial universe
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• Wheeler-DeWitt Universe Wave Function in the presence of stiff matter
• Quantum relativistic cosmology: dynamical interpretation and tunneling universe
• What may come beyond the Wheeler-DeWitt approach?
• Hilbert spaces built over metrics of fixed signature
• Quantization of constrained systems as Dirac first class versus second class: a toy model and its implications