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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

This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Karel Kuchar

Quantization of the gravity remains one of the most important, yet extremely illusive, challenges at the heart of modern physics. Any attempt to resolve this long-standing problem seems to be doomed, as the route to any direct empirical…

General Relativity and Quantum Cosmology · Physics 2022-05-05 Yusef Maleki , Alireza Maleki

In this talk we entertain the possibility that the synthesis of general covariance and quantum mechanics requires an extension of the basic kinematical setup of quantum mechanics. According to the holographic principle, regions of spacetime…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vijay Balasubramanian , Jan de Boer , Djordje Minic

Multi-messenger astronomy provides us with the possibility of discovering phenomenological signatures of quantum-gravity effects. This should be of paramount importance in the pursuit of an elusive quantum theory for the gravitational…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Gabriel Menezes

I present a method of quantization using cohomology groups extended via coefficient groups of different types. This is possible according to the Universal Coefficient Theorem (UCT). I also show that by using this method new features of…

General Relativity and Quantum Cosmology · Physics 2015-02-18 Andrei T. Patrascu

We consider a model of Quantum Gravity phenomenology, based on the idea that space-time may have some unknown granular structure that respects the Lorentz symmetry. The proposal involves non-trivial couplings of curvature to matter fields…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Y. Bonder

The last two decades have seen the emergence of stunning interconnections among various previously remotely related disciplines such as condensed matter, nuclear physics, gravity and quantum information, fueled both by experimental advances…

High Energy Physics - Theory · Physics 2020-04-15 Hong Liu , Julian Sonner

We use exact results in a new approach to quantum gravity to discuss some issues in black hole physics.

High Energy Physics - Phenomenology · Physics 2009-11-10 B. F. L. Ward

Although general relativity is a predictively successful theory, it treats matter as classical rather than as quantum. For this reason, it will have to be replaced by a more fundamental quantum theory of gravity. Attempts to formulate a…

History and Philosophy of Physics · Physics 2019-02-07 Christian Wuthrich

An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Urrutia

We study the derivation of the effective equation of motion for a pointlike particle in the framework of quantum gravity. Just like the geodesic motion of a classical particle is a consequence of classical field theory coupled to general…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Francisco Pipa , Nikola Paunkovic , Marko Vojinovic

In general relativity (GR), spacetime geometry is no longer just a background arena but a physical and dynamical entity with its own degrees of freedom. We present an overview of approaches to quantum gravity in which this central feature…

General Relativity and Quantum Cosmology · Physics 2014-08-20 Abhay Ashtekar , Martin Reuter , Carlo Rovelli

The main purpose of this paper is to present a new approach to logic or what we will call superlogic. This approach constitutes a new way of looking at the connection between quantum mechanics and logic. It is a {\it geometrisation} of the…

Quantum Physics · Physics 2015-05-06 Joseph Kouneiher , Newton Da Costa

We propose a method for demonstrating equivalences beyond the saddlepoint approximation between quantities in quantum gravity that are defined by the Euclidean path integral, without assumptions about holographic duality. The method…

High Energy Physics - Theory · Physics 2026-02-24 Vijay Balasubramanian , Tom Yildirim

A first step towards implementing a notion of coarse graining in an intrinsically Lorentzian, discrete quantum- gravity approach, namely causal set quantum gravity is taken. It makes use of an abstract notion of scale, based on counting the…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Astrid Eichhorn

I sketch the main lines of development of the research in quantum gravity, from the first explorations in the early thirties to nowadays.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carlo Rovelli

We give an introduction into quantum cosmology with emphasis on its conceptual parts. After a general motivation we review the formalism of canonical quantum gravity on which discussions of quantum cosmology are usually based. We then…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Claus Kiefer , Barbara Sandhoefer

General Theory of Relativity and Quantum theory gives two different description of the same mother nature in the big and small scale respectively. Mathematical languages of these two theories are entirely different, one is geometric while…

General Physics · Physics 2020-05-11 Sijo K. Joseph

Quantum complexity quantifies the difficulty of preparing a state or implementing a unitary transformation with limited resources. Applications range from quantum computation to condensed matter physics and quantum gravity. We seek to…