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Some explanations and implications of the underlying theory approach for quantum theories (QM or QFT) are discussed and suggested. This simple idea seems to have significantly nontrivial effects for our understanding of the quantum…

高能物理 - 理论 · 物理学 2007-05-23 Jifeng Yang

When attempting to assess the strengths and weaknesses of various principles in their potential role of guiding the formulation of a theory of quantum gravity, it is crucial to distinguish between principles which are strongly supported by…

物理学史与哲学 · 物理学 2014-01-03 M. Holman

The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues. We will develop the two main lines of research for the theory: the canonical quantization…

广义相对论与量子宇宙学 · 物理学 2018-08-06 Pablo Antonio Moreno Casares

Whether gravity must be quantized remains one of the biggest open problems in fundamental physics. Classical-quantum hybrid theories have recently attracted attention as a possible framework in which gravity is treated classically yet…

量子物理 · 物理学 2026-04-14 Masahiro Hotta , Sebastian Murk , Daniel R. Terno

The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70 years. Despite recent progress in string theory and loop quantum gravity, a complete solution remains out of reach. I…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely…

高能物理 - 理论 · 物理学 2007-05-23 Laurent Freidel , Artem Starodubtsev

Some problems in finding a complete quantum theory incorporating gravity are discussed. One is that of giving a consistent unitary description of high-energy scattering. Another is that of giving a consistent quantum description of…

高能物理 - 理论 · 物理学 2015-05-28 Steven B. Giddings

The unsatisfactory status of the search for a consistent and predictive quantization of gravity is taken as motivation to study the question whether geometrical laws could be more fundamental than quantization procedures. In such an…

高能物理 - 理论 · 物理学 2015-05-18 Benjamin Koch

As a canonical and generally covariant gauge theory, loop quantum gravity requires special techniques to derive effective actions or equations. If the proper constructions are taken into account, the theory, in spite of considerable…

广义相对论与量子宇宙学 · 物理学 2013-08-02 Martin Bojowald

We present a straightforward and self-contained introduction to the basics of the loop approach to quantum gravity, and a derivation of what is arguably its key result, namely the spectral analysis of the area operator. We also discuss the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Carlo Rovelli , Peush Upadhya

A recent proposal for quantizing gravity is investigated for self consistency. There are well-known difficulties in dealing with Einstein gravity when resorting to the perturbative techniques of quantum field theory. This however does not…

广义相对论与量子宇宙学 · 物理学 2008-02-03 S. Bellucci , A. Shiekh

In recent years an increasing number of papers attempt to mimic or supplant quantum field theory in discussions of issues related to gravity by the tools and through the perspective of quantum information theory, often in the context of…

量子物理 · 物理学 2022-04-13 Charis Anastopoulos , Bei-Lok Hu

We present a brief description of the ``consistent discretization'' approach to classical and quantum general relativity. We exhibit a classical simple example to illustrate the approach and summarize current classical and quantum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rodolfo Gambini , Jorge Pullin

We present a short, general and accessible introduction to quantizing gravity in the Heisenberg picture. We then apply this formalism to the scenario where two spatially superposed masses interact through the gravitational field. We discuss…

广义相对论与量子宇宙学 · 物理学 2022-04-06 Vlatko Vedral

We present a line by line derivation of canonical quantum mechanics stemming from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This viewpoint can…

高能物理 - 理论 · 物理学 2017-08-23 Djordje Minic , Chia-Hsiung Tze

In this report we discuss three aspects: 1) Semiclassical gravity theory (SCG): 4 levels of theories describing the interaction of quantum matter with classical gravity; 2) Alternative Quantum Theories: Discerning those which are derivable…

广义相对论与量子宇宙学 · 物理学 2015-06-18 B. L. Hu

A possible alternative route to a quantum theory of gravity is presented. The usual path is to quantize the gravitational field in order to introduce the statistical structure characteristic of quantum mechanics. The procedure followed here…

广义相对论与量子宇宙学 · 物理学 2019-11-26 Roderick Sutherland

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Martin Bojowald , Hugo A. Morales-Tecotl

General covariance in quantum gravity is seen once one integrates over all possible metrics. In recent years topological field theories have given us a different route to general covariance without integrating over all possible metrics.…

高能物理 - 理论 · 物理学 2010-04-06 Andrew Toon

These notes are an elaboration on: (i) a short course that I gave at the IPhT-Saclay in May-June 2012; (ii) a previous letter on reversibility in quantum mechanics. They present an introductory, but hopefully coherent, view of the main…

数学物理 · 物理学 2012-11-27 Francois David