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The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which…

High Energy Physics - Theory · Physics 2009-01-08 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

We present a simple derivation of a point-source boundary condition for the Schwarzschild solution that relates the Schwarzschild radius to the mass of its source without appealing to the Newtonian limit. Interpretation of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Peter Hayman

The proposed theory of causally structured discrete fields studies integer values on directed edges of a self-similar graph with a propagation rule, which we define as a set of valid combinations of integer values and edge directions around…

General Relativity and Quantum Cosmology · Physics 2020-01-30 K. V. Bayandin

We consider a dynamical triangulation model of euclidean quantum gravity where the topology is not fixed. This model is equivalent to a tensor generalization of the matrix model of two dimensional quantum gravity. A set of moves is given…

High Energy Physics - Lattice · Physics 2009-10-22 Bas V. de Bakker

10 D Euclidean quantum gravity is investigated numerically using the dynamical triangulation approach. It has been found that the behavior of the model is similar to that of the lower dimensional models. However, it turns out that there are…

High Energy Physics - Lattice · Physics 2009-09-29 A. I. Veselov , M. A. Zubkov

We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation functions in quantum and classical spin models. In the quantum case, our large-scale numerics are based on the concept of quantum…

Statistical Mechanics · Physics 2022-12-01 Tjark Heitmann , Jonas Richter , Fengping Jin , Kristel Michielsen , Hans De Raedt , Robin Steinigeweg

In this work, in the context of modified gravity, a curved spacetime analogous to the "canonical acoustic black hole" is constructed. The source is a self-interacting scalar field which is non-minimally coupled to gravity through the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Pedro Cañate , Joseph Sultana , Demosthenes Kazanas

Independent studies by different authors have proposed that classicality may be induced in quantum objects by cosmological constraints presented by an expanding universe of finite extent in space-time. Cosmological effects on a quantum…

General Physics · Physics 2010-11-25 C. L. Herzenberg

We develop a model of one-dimensional (Conformal) Quantum Gravity. By discussing the connection between Goldstone and Gauge theories, we establish that this model effectively computes the partition function of the Schwarzian theory where…

High Energy Physics - Theory · Physics 2022-04-13 Dionysios Anninos , Diego M. Hofman , Stathis Vitouladitis

We performed detailed study of the phase transition region in Four Dimensional Simplicial Quantum Gravity, using the dynamical triangulation approach. The phase transition between the Gravity and Antigravity phases turned out to be…

High Energy Physics - Lattice · Physics 2009-10-22 M. E. Agishtein , A. A. Migdal

The central topic of this thesis is two dimensional Quantum Gravity and its properties. The term Quantum Gravity itself is ambiguous as there are many proposals for its correct formulation and none of them have been verified experimentally.…

High Energy Physics - Theory · Physics 2011-12-01 Max R. Atkin

Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Hollis Williams

A model of a two-sheeted universe in the quantum theory of gravity is proposed, based on the definition of 3D invariant and gauge-invariant proper time of the universe. A uniform time in a closed universe is introduced in the class of…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

Known quantum and classical perturbative long-distance corrections to the Newton potential are extended into the short-distance regime using evolution equations for a `running' gravitational coupling, which is used to construct examples…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Jan Smit

One could begin a study like the present one by simply postulating that our universe is four-dimensional. There are ample reasons for doing this. Experience, observation and experiment all point to the fact that we inhabit a…

General Relativity and Quantum Cosmology · Physics 2015-02-10 Stan Gudder

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

Perturbation Theory (PT) applied to a cosmological density field with Gaussian initial fluctuations suggests a specific hierarchy for the correlation functions when the variance is small. In particular quantitative predictions have been…

Astrophysics · Physics 2009-10-30 D. Munshi , F. Bernardeau , A. L. Melott , R. Schaeffer

Just as for non-abelian gauge theories at strong coupling, discrete lattice methods are a natural tool in the study of non-perturbative quantum gravity. They have to reflect the fact that the geometric degrees of freedom are dynamical, and…

High Energy Physics - Theory · Physics 2009-10-31 R. Loll

We present an analytical description of the probability distribution function (PDF) of the smoothed three-dimensional matter density field for modified gravity and dark energy. Our approach, based on the principles of Large Deviations…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-05 Matteo Cataneo , Cora Uhlemann , Christian Arnold , Alex Gough , Baojiu Li , Catherine Heymans

We report on recently performed simulations of Causal Dynamical Triangulations (CDT) in 2+1 dimensions aimed at studying its effective dynamics in the continuum limit. Two pieces of evidence from completely different measurements are…

General Relativity and Quantum Cosmology · Physics 2012-05-24 Timothy Budd
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