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A very simple wormhole geometry is considered as a model of a mode of topological fluctutation in Planck-scale spacetime foam. Quantum dynamics of the hole reduces to quantum mechanics of one variable, throat radius, and admits a WKB…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Ian H. Redmount , Wai-Mo Suen

In order to gain insight into the possible Ground State of Quantized Einstein's Gravity, we have devised a variational calculation of the energy of the quantum gravitational field in an open space, as measured by an asymptotic observer…

High Energy Physics - Theory · Physics 2009-10-30 S. Cacciatori , G. Preparata , S. Rovelli , I. Spagnolatti , She-Sheng Xue

Spacetime foam manifests itself in a variety of ways. It has some attributes of a turbulent fluid. It is the source of the holographic principle. Cosmologically it may play a role in explaining why the energy density has the critical value,…

General Relativity and Quantum Cosmology · Physics 2011-02-24 Y. Jack Ng

The expectation that it should not be possible to gain experimental insight on the structure of space-time at Planckian distance scales has been recently challenged by several studies. With respect to space-time fluctuations, one of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giovanni Amelino-Camelia

Some novel regular spacetimes are considered that show a non-stationary wormhole structure. A Simpson-Visser-like procedure is applied to reconstruct these regular spacetimes, free of time-like and space-like singularities. Such a procedure…

General Relativity and Quantum Cosmology · Physics 2025-08-13 G. Alencar , R. Dárlla , Shin'ichi Nojiri , Sergei D. Odintsov , Diego Sáez-Chillón Gómez

We model the spacetime foam picture by a gas of wormholes in Euclidean field theory. It is shown that at large distances the presence of such a gas leads merely to a renormalization of mass and charge values. We also demonstrate that there…

High Energy Physics - Theory · Physics 2017-07-26 E. P. Savelova

For the spherically symmetric static traversable wormholes, supported by the Casimir energy in $f(\mathcal{R})=\mathcal{R}+\alpha \mathcal{R}^2$ Quadratic, $f(\mathcal{R})=f_0 \mathcal{R}^n$ power-law Modified Gravity (MOG) theories we…

General Physics · Physics 2022-06-02 Oleksii Sokoliuk , Alexander Baransky , P. K. Sahoo

Following the subtraction procedure for manifolds with boundaries, we calculate by variational methods, the Schwarzschild-Anti-de Sitter and the Anti-de Sitter space energy difference. By computing the one loop approximation for TT tensors…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Remo Garattini

We present a systematic study of exact solutions for traversable wormhole geometries in a static and hyperbolic symmetric spacetime. In the conventional form of studying wormhole geometry, traversability requires the presence of exotic…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Roberto Avalos , Ernesto Contreras , Daniel Brito , Ernesto Fuenmayor

We consider a spacetime foam model of the Schwarzschild horizon, where the horizon consists of Planck size black holes. According to our model the entropy of the Schwarzschild black hole is proportional to the area of its event horizon. It…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jarmo Makela , Ari Peltola

The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through…

High Energy Physics - Theory · Physics 2024-04-22 Lucía Santamaría-Sanz

The vacuum expectation value of the surface energy-momentum tensor is evaluated for a scalar field obeying Robin boundary condition on a spherical brane in (D+1)-dimensional spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. A. Lemos , G. A. Monerat

We model spacetime foam by a gas of virtual wormholes. Then applying an external field one may change the density of virtual wormholes and try to organize a wormhole-like structure in space. The relation between an additional distribution…

General Relativity and Quantum Cosmology · Physics 2014-05-14 E. P. Savelova , A. A. Kirillov

We investigate possible manifolds characterizing traversable wormholes in the presence of a scalar field minimally coupled to gravity, which has both kinetic and potential energy. The feature of traversability requires the violation of the…

General Relativity and Quantum Cosmology · Physics 2025-10-31 R. Garattini , A. G. Tzikas

Recently, it has been shown by Lobo, Parsaei and Riazi (LPR) that phantom energy with $\omega =p_{r}/\rho <-1$ could support phantom wormholes. Several classes of such solutions have been derived by them. While the inner spacetime is…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Regina Lukmanova , Alina Khaibullina , Ramil Izmailov , Almir Yanbekov , Ramis Karimov , Alexander A Potapov

A boundary undergoing relativistic motion can create particles from quantum vacuum fluctuations in a phenomenon known as the dynamical Casimir effect. We examine the creation of particles, and more generally the transformation of quantum…

Quantum Physics · Physics 2019-01-23 Maximilian P. E. Lock , Ivette Fuentes

Quantum fluctuations can endow spacetime with a foamy structure. In this review article we discuss our various proposals to observationally constrain models of spacetime foam. One way is to examine if the light wave-front from a distant…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Y. Jack Ng , Eric S. Perlman

Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No quantisation procedure is used. The emergent space-time is…

General Relativity and Quantum Cosmology · Physics 2012-01-13 Paweł Duch , Ryszard Paweł Kostecki

We re-examine the brick-wall model in the context of spacetime foam. In particular we consider a foam composed by wormholes of different sizes filling the black hole horizon. The contribution of such wormholes is computed via a scale…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Remo Garattini