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We study the area and volume laws for entanglement of free quantum scalar fields. In addition to the entropy, we use the notion of the capacity of entanglement, which measures entropy fluctuations. We consider flat spacetimes as well as the…

High Energy Physics - Theory · Physics 2025-10-07 K. Andrzejewski

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling

In this work, we derive an upper bound on energetic quantities, namely vacuum energy and free energy, for static solutions of Einstein-Scalar theory in four dimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with a…

High Energy Physics - Theory · Physics 2020-02-28 Krai Cheamsawat

The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr T. Chrusciel , Jacek Jezierski , Malcolm A. H. MacCallum

The paper aims to provide an explanation for the tiny value of the cosmological constant and the low vacuum energy density to represent the dark energy. To accomplish this, we will search for a fundamental principle of symmetry in…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Cláudio Nassif

The relativistic theory of gravitation has the considerable difficulties by description of the gravitational field energy. Pseudotensor t00 in the some cases cannot be interpreted as energy density of the gravitational field. In [1] the…

General Relativity and Quantum Cosmology · Physics 2007-06-22 Roald Sosnovskiy

We propose a new unified model that describes~dark energy and dark matter in the context of $f(R,\phi )$ gravity using a massive scalar field in five dimensions. The scalar field is considered in the bulk that surrounds the 3-brane in…

General Relativity and Quantum Cosmology · Physics 2021-05-13 M. Bousder , Z. Sakhi , M. Bennai

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Per Berglund , Tristan Hubsch , Djordje Minic

We study the dynamical aspects of dark energy in the context of a non-minimally coupled scalar field with curvature and torsion. Whereas the scalar field acts as the source of the trace mode of torsion, a suitable constraint on the torsion…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Sourav Sur , Arshdeep Singh Bhatia

Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Joshua Foo , Cemile Senem Arabaci , Magdalena Zych , Robert B. Mann

In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

We propose to deploy limits that arise from different tests of the Pauli Exclusion Principle in order: i) to provide theories of quantum gravity with an experimental guidance; ii) to distinguish among the plethora of possible models the…

High Energy Physics - Theory · Physics 2019-01-04 Andrea Addazi , Pierluigi Belli , Rita Bernabei , Antonino Marciano

We investigate the weak-field regime of generalized hybrid metric-Palatini theories, described by a generic function \(f(R,\mathcal{R})\), where \(R\) is the metric Ricci scalar and \(\mathcal{R}\) is constructed from an independent…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Gustavo Melgarejo , Santiago Esteban Perez Bergliaffa

If the equation of state of dark energy is anisotropic there will be additional quadrupole anisotropy in the cosmic microwave background induced by the time dependent anisotropic stress quantified in terms of $\Delta w$. Assuming that the…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-14 Stephen Appleby , Richard Battye , Adam Moss

This paper derives an upper limit on the density $\rho_{\scriptstyle\Lambda}$ of dark energy based on the requirement that cosmological structure forms before being frozen out by the eventual acceleration of the universe. By allowing for…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-22 Fred C. Adams , Stephon Alexander , Evan Grohs , Laura Mersini-Houghton

Weak gravitational lensing of background galaxies by intervening matter directly probes the mass distribution in the universe. This distribution, and its evolution at late times, is sensitive to both the dark energy, a negative pressure…

Astrophysics · Physics 2009-11-07 Kevork Abazajian , Scott Dodelson

For an arbitrary quantum field in flat space with a planar boundary, an entropy of entanglement, associated with correlations across the boundary, is present when the field is in its vacuum state. The vacuum state of the same quantum field…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , M. J. Strassler

Dynamical vacuum energy or quintessence, a slowly varying and spatially inhomogeneous component of the energy density with negative pressure, is currently consistent with the observational data. One potential difficulty with the idea of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Takeshi Chiba

We consider ideal fluid and equivalent scalar field dark energy universes where all four known types of finite-time, future singularities occur at some parameter values. It is demonstrated that pressure/energy density of such…

High Energy Physics - Theory · Physics 2015-05-13 Shin'ichi Nojiri , Sergei D. Odintsov

Quantum mechanics does not provide any ready recipe for defining energy density in space, since the energy and coordinate do not commute. To find a well-motivated energy density, we start from a possibly fundamental, relativistic…

Quantum Physics · Physics 2024-01-17 V. Stepanyan , A. E. Allahverdyan