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This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the…

General Relativity and Quantum Cosmology · Physics 2012-03-27 Daniele Oriti

A non-perturbative and background-independent quantum formulation of quadratic gravity is provided. A canonical quantization procedure introduced in previous works, named after Dirac and Pauli, is here applied to quadratic gravity to…

High Energy Physics - Theory · Physics 2024-08-05 Alberto Salvio

We clearly formulate and study further a conjecture of effective field theory interaction with gravity in the cosmological context. The conjecture stems from the fact that the melding of quantum theory and gravity typically indicates the…

High Energy Physics - Theory · Physics 2008-10-15 Michael Maziashvili

One of the major difficulties of modern science underlies at the unification of general relativity and quantum mechanics. Different approaches towards such theory have been proposed. Noncommutative theories serve as the root of almost all…

Quantum Physics · Physics 2018-01-09 Sanjib Dey , Anha Bhat , Davood Momeni , Mir Faizal , Ahmed Farag Ali , Tarun Kumar Dey , Atikur Rehman

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly

Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To…

Mathematical Physics · Physics 2013-09-13 Christopher J. Fewster , David S. Hunt

We argue for enlarging the traditional view of quantum gravity, based on "quantizing GR", to include explicitly the non-spatiotemporal nature of the fundamental building blocks suggested by several modern quantum gravity approaches (and…

History and Philosophy of Physics · Physics 2018-05-15 Daniele Oriti

The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.

General Relativity and Quantum Cosmology · Physics 2009-10-28 John W. Barrett

At the beginning of the previous century, Newtonian mechanics fell victim to two new revolutionary theories, Quantum Mechanics (QM) and General Relativity (GR). Both theories have transformed our view of physical phenomena, with QM…

Quantum Physics · Physics 2018-03-22 Richard Howl , Lucia Hackermuller , David Edward Bruschi , Ivette Fuentes

From the point of view of an uncompromising field theorist quantum gravity is beset with serious technical and, above all, conceptual problems with regard especially to the meaning of genuine "physical" observables. This situation is not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wolfgang Kummer

Current models of quantum interference experiments in external gravitational fields lack a common framework: while matter-wave interferometers are commonly described using the Schr\"odinger equation with a Newtonian potential, gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Thomas B. Mieling , Thomas Morling , Christopher Hilweg , Philip Walther

The non-perturbative, lattice field theory approach towards the quantization of Euclidean gravity is reviewed. Included is a tentative summary of the most significant results and a presentation of the current state of art.

High Energy Physics - Lattice · Physics 2015-06-25 A. Krzywicki

We show how to reliably calculate quantum gravitational corrections to cosmological models using the unique effective action formalism for quantum gravity. Our calculations are model independent and apply to any ultra-violet complete theory…

High Energy Physics - Theory · Physics 2025-01-07 Xavier Calmet , Roberto Casadio , Marco Sebastianutti

We introduce the key ideas behind the group field theory approach to quantum gravity, and the basic elements of its formalism. We also briefly report on some recent results obtained in this approach, concerning both the mathematical…

High Energy Physics - Theory · Physics 2012-03-27 Daniele Oriti

Observable signatures of the quantum nature of gravity at low energies have recently emerged as a promising new research field. One prominent avenue is to test for gravitationally induced entanglement between two mesoscopic masses prepared…

Quantum Physics · Physics 2023-02-16 Vasileios Fragkos , Michael Kopp , Igor Pikovski

General relativity and its cosmological solution predicts the existence of tensor modes of perturbations evolving on top of our Friedman-Lema\^itre-Robertson-Walker expanding Universe. Being gauge invariant and not necessarily coupled to…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Amaury Micheli , Patrick Peter

So far, none of attempts to quantize gravity has led to a satisfactory model that not only describe gravity in the realm of a quantum world, but also its relation to elementary particles and other fundamental forces. Here, we outline the…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Houri Ziaeepour

We offer a critical assessment of some generic features of various of the current approaches towards the construction of a Theory of Quantum Gravity. We will argue that there is a need for further conceptual clarifications before such an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Sudarsky

Quantum mechanics and the theory of gravity are presently not compatible. A particular question is whether gravity causes decoherence - an unavoidable source of noise. Several models for gravitational decoherence have been proposed, not all…

Quantum Physics · Physics 2018-05-16 C. Pfister , J. Kaniewski , M. Tomamichel , A. Mantri , R. Schmucker , N. McMahon , G. Milburn , S. Wehner

The search for a quantum theory of gravity has been one of the main aims of theoretical physics for many years by now. However the efforts in this direction have been often hampered by the lack of experimental/observational tests able to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Liberati