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This article reviews the status of several solutions to all the constraints of quantum gravity that have been proposed in terms of loops and extended loops. We discuss pitfalls of several of the results and in particular discuss the issues…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Cayetano Di Bartolo , Rodolfo Gambini , Jorge Griego , Jorge Pullin

The aim of this article is to provide an introduction to the use of quantum information methods for investigating the interface between quantum theory and gravity. To this end, we discuss the basic principles of two current research streams…

Quantum Physics · Physics 2025-12-24 Bruna Sahdo , Natália Salomé Móller

The paper presents shortly the geometric approach to the problem of a general quantization formalism, both physically meaningful and mathematically consistent.

History and Philosophy of Physics · Physics 2026-01-19 Marius Grigorescu

This work is divided into two parts. The first examines recent proposals for "witnessing" quantum gravity via entanglement from the point of view of Bronstein's original objection to a quantization of gravity. Using techniques from open…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Giorgio Torrieri

We discuss some conceptual issues that any approach to quantum gravity has to confront. In particular, it is argued that one has to find a theory that can be interpreted in a realist manner, because theories with an instrumentalist…

General Relativity and Quantum Cosmology · Physics 2013-06-14 Andreas Doering

One of the major issues confronting theoretical physics is finding a quantum theory of gravity and a resolution to the cosmological constant problem. It is believed that a true quantum theory of gravity will lead to a solution to the this…

High Energy Physics - Theory · Physics 2007-09-05 Edward Tetteh-Lartey

Based on a clear ontology of material individuals, we analyze in detail the factual semantics of quantum theory, and argue that the basic mathematical formalism of quantum theory is just okay with (a certain form of ) realism and that it is…

History and Philosophy of Physics · Physics 2021-09-22 Alejandro Ascárate

Quantum matter in quantum space-time is discussed using general properties of energy-conservation laws. As a rather radical conclusion, it is found that standard methods of differential geometry and quantum field theory on curved space-time…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , Casey Tomlin

The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luis J. Garay

We present a critical analysis of the Canonical approach to quantum gravity, which relies on the ambiguity of implementing a space-time slicing on the quantum level. We emphasize that such a splitting procedure is consistent only if a real…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Giovanni Montani

We discuss a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Per Berglund , Tristan Hübsch , David Mattingly , Djordje Minic

Quantum theory and general relativity are about one century old. At present, they are considered the best available explanations of physical reality, and they have been so far corroborated by all experiments realised so far. Nonetheless,…

Quantum Physics · Physics 2024-10-11 Chiara Marletto , Vlatko Vedral

This paper presents reflections on the validity of a series of mathematical methods and technical assumptions that are encrusted in macrophysics (related to gravitational interaction), that seem to have little or no physical significance.…

General Physics · Physics 2010-05-05 M. Iftime

We review the present status of quantum-gravity phenomenology in relation to gravitational waves (GWs). The topic can be approached from two direction, a model-dependent one and a model-independent one. In the first case, we introduce some…

General Relativity and Quantum Cosmology · Physics 2021-10-07 Gianluca Calcagni

A method based on the path integral approach is engaged to consider the gravitational emission from a quantum mechanical bound system in a locally inertial frame. In such a frame, interaction between the electromagnetic (bound potential)…

General Relativity and Quantum Cosmology · Physics 2015-06-12 A. Jahan

Quantum field theory (QFT) on fractal spacetimes is a program aiming at quantizing the gravitational interaction consistently at all energy scales thanks to an intrinsically or dynamically induced multiscale or multifractal-like spacetime…

High Energy Physics - Theory · Physics 2026-03-26 Fabio Briscese , Gianluca Calcagni

The purpose of this contribution is to give an introduction to quantum geometry and loop quantum gravity for a wide audience of both physicists and mathematicians. From a physical point of view the emphasis will be on conceptual issues…

Mathematical Physics · Physics 2011-04-11 J. Fernando Barbero G.

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

The literature on quantum-gravity-inspired scenarios for the quantization of spacetime has so far focused on particle-physics-like studies. This is partly justified by the present limitations of our understanding of quantum-gravity…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Giovanni Amelino-Camelia , Niccolo' Loret , Gianluca Mandanici , Flavio Mercati

We start by surveying the history of the idea of a fundamental conservation law and briefly examine the role conservation laws play in different classical contexts. In such contexts we find conservation laws to be useful, but often not…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Tim Maudlin , Elias Okon , Daniel Sudarsky