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We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics (in the ADM formalism)…

广义相对论与量子宇宙学 · 物理学 2020-08-11 Detlef Dürr , Ward Struyve

The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter. Unimodular gravity can actually be understood as a certain truncation of the full Einstein-Hilbert theory, where in the…

高能物理 - 理论 · 物理学 2015-06-12 Enrique Álvarez , Mario Herrero-Valea

The universality of semiclassical gravity is investigated by considering the behavior of the quantities < \phi^2 > and < {T^a}_b >, along with quantum corrections to the effective Newtonian potential in the far field limits of static…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Paul R. Anderson , A. Fabbri

We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian geometry in the context of emergent…

高能物理 - 理论 · 物理学 2014-12-30 Jungjai Lee , Hyun Seok Yang

Inspired by Einstein's Strong Principle of Equivalence we consider the effects of quantum mechanics to the gravity-like phenomena experienced by an observer in a uniformly accelerating motion in flat spacetime. Among other things, our model…

广义相对论与量子宇宙学 · 物理学 2024-04-17 Jarmo Mäkelä

Extending black-hole entropy to ordinary objects, we propose kinetic entropy tensor, based on which a quantum gravity tensor equation is established. Our investigation results indicate that if N=1, the quantum gravity tensor equation…

综合物理 · 物理学 2016-06-11 Xu Duan

It is well known that in quantum gravity, the very geometry of space and time is subject to continual fluctuation. The mathematical formulation for this old theory is still lacking. This article formulates this more than forty-year-old…

广义相对论与量子宇宙学 · 物理学 2024-09-27 Behzad Tajahmad

We argue that a conformally invariant extension of general relativity coupled to the Standard Model is the fundamental theory that needs to be quantized. We show that it can be treated by loop quantum gravity techniques. Through a gauge…

广义相对论与量子宇宙学 · 物理学 2017-01-24 Miguel Campiglia , 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

Non-Abelian Gauss law is interpreted in terms of area bits described in a local frame which fit together into closed surfaces and the Non-Abelian Stokes law in terms of length bits described in a local frame which fit together into closed…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. S. Sharatchandra , H. Gopalkrishna Gadiyar

We provide a relatively self-contained introduction to the application of quantum spacetime and quantum Riemannian geometry to theoretical physics. Recent successes include calculation of the vacuum energy of spacetime curvature…

广义相对论与量子宇宙学 · 物理学 2026-04-08 Shahn Majid

Loop quantum gravity introduces strong non-perturbative modifications to the dynamical equations in the semi-classical regime, which are responsible for various novel effects, including resolution of the classical singularity in a Friedman…

高能物理 - 理论 · 物理学 2007-05-23 Martin Bojowald , Roy Maartens , Parampreet Singh

We highlight three conflicts between quantum theory and classical general relativity, which make it implausible that a quantum theory of gravity can be arrived at by quantising classical gravity. These conflicts are: quantum nonlocality and…

量子物理 · 物理学 2017-03-22 T. P. Singh

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

广义相对论与量子宇宙学 · 物理学 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We argue that recent developments in discretizations of classical and quantum gravity imply a new paradigm for doing research in these areas. The paradigm consists in discretizing the theory in such a way that the resulting discrete theory…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Rodolfo Gambini , Jorge Pullin

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…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Luis J. Garay

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…

广义相对论与量子宇宙学 · 物理学 2022-11-28 Per Berglund , Tristan Hübsch , David Mattingly , Djordje Minic

A general geometrical scheme is presented for the construction of novel classical gravity theories whose solutions obey two-sided bounds on the sectional curvatures along certain subvarieties of the Grassmannian of two-planes. The…

高能物理 - 理论 · 物理学 2007-05-23 Frederic P. Schuller , Mattias N. R. Wohlfarth

Higher dimensional Einstein gravity in vacuum admits static black hole solutions with an Einstein manifold of non constant curvature as a horizon. This gives a much richer family of static black holes than in four dimensional GR. However,…

高能物理 - 理论 · 物理学 2009-11-11 Gustavo Dotti , Reinaldo J. Gleiser

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

广义相对论与量子宇宙学 · 物理学 2009-09-21 Gerard 't Hooft