Quantum Gravity: A Brief History of Ideas and Some Prospects

Abstract

We present a bird's-eye survey on the development of fundamental ideas of quantum gravity, placing emphasis on perturbative approaches, string theory, loop quantum gravity, and black hole thermodynamics. The early ideas at the dawn of quantum gravity as well as the possible observations of quantum gravitational effects in the foreseeable future are also briefly discussed.

Invited review article. A few parts based on arXiv:1410.1486 and arXiv:1412.4362. To appear in Int. J. Mod. Phys. D and in "One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational Waves, Cosmology and Quantum Gravity," edited by Wei-Tou Ni (World Scientific, Singapore, 2015)

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• Bandlimited Entanglement Harvesting
• Optomechanical tests of a Schrödinger-Newton equation for gravitational quantum mechanics
• Non-commutative black holes of various genera in the connection formalism
• Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value
• Natural Covariant Planck Scale Cutoffs and the Cosmic Microwave Background Spectrum
• Visions in Quantum Gravity
• Quantum gravity in a general background gauge
• Reduction of gravity-matter and dS gravity to hypersurface
• Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
• Fundamental Physics and Cosmology with TianQin
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• Loop corrections in a solvable UV-finite model and its effective field theory
• Thermal quantum gravity in a general background gauge
• Testing the Braneworld Theory with Identical Particles
• Quantum GraviElectro Dynamics
• Impact of particle production during inflation on the CMB detection
• Imprints of quantum vacuum fluctuations on the gravitational field of a spherical mass
• Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime