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Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how…

High Energy Physics - Theory · Physics 2015-05-13 Tomasz Konopka

It is found that the existence of spacetime foam leads to a situation in which the number of fundamental quantum bosonic fields is a variable quantity. The general aspects of an exact theory that allows for a variable number of fields are…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Kirillov

The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy…

Quantum Physics · Physics 2009-10-31 L. H. Ford , N. F. Svaiter

It is commonly believed that the vacuum energy problem points to the need for (1) a radically new formulation of gravitational physics and (2) a new principle which forces the vacuum stress-energy tensor (as measured by gravity) to be…

Astrophysics · Physics 2009-11-06 A. R. Mondragon , R. E. Allen

Previously, one of the authors has suggested [Phys. Essays, vol. 6, 554 (1993); vol. 10, 407 (1997)] a mechanism of the particle motion within the framework of a vacuum regarded as an original cellular medium, i.e. quantum aether. The…

Quantum Physics · Physics 2008-11-26 Volodymyr Krasnoholovets , Valery Byckov

In Newtonian gravity it is a moot question whether energy should be localized in the field or inside matter. An argument from relativity suggests a compromise in which the contribution from the field in vacuum is positive definite. We show…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Ingemar Bengtsson , Tobias Eklund

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can still define a conserved quantum energy.…

Quantum Physics · Physics 2021-09-02 Gerard t Hooft

In a recent paper (Phys. Rev. D95, 103504 (2017)) it is argued that, due to the fluctuations around its mean value, vacuum energy gravitates differently from what previously assumed. As a consequence, the universe would accelerate with a…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Francisco D. Mazzitelli , Leonardo G. Trombetta

The Schwarzschild geometry, describing the gravitational field of a spherical mass in classical vacuum, is one of the most famous vacuum solutions of the Einstein field equations. Classical vacuum is an idealization that does not include…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Raúl Carballo-Rubio , Francesco Di Filippo , Shinji Mukohyama , Kazumasa Okabayashi

It has been widely believed that, except in very extreme situations, the influence of gravity on quantum fields should amount to just small, sub-dominant contributions. This view seemed to be endorsed by the seminal results obtained over…

General Relativity and Quantum Cosmology · Physics 2010-05-12 William C. C. Lima , Daniel A. T. Vanzella

We discuss the intimate connection between the chaotic dynamics of a classical field theory and the instability of the one-loop effective action of the associated quantum field theory. Using the example of massless scalar electrodynamics,…

High Energy Physics - Theory · Physics 2009-10-30 Sergei G. Matinyan , Berndt Müller

We discuss the problem of the spectral function of vacuum energy. In traditional approach the ultraviolet divergencies of the vacuum energy are cancelled by imposing relations between different quantum fields and their masses. The emergent…

General Relativity and Quantum Cosmology · Physics 2015-05-13 G. E. Volovik

We follow a low-energy effective theory approach to identify the general class of theories that describes a vector field (of unconstrained norm) coupled to gravity. The resulting set may be regarded as a generalization of the conventional…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Cristian Armendariz-Picon , Alberto Diez-Tejedor

A QED-based symmetry breaking/bootstrap mechanism, appearing at sufficiently small space-time distances, is suggested as an explanation for the vacuum energy that furnished the initial impulse for Inflation, and continues on, to the present…

High Energy Physics - Theory · Physics 2015-03-19 H. M. Fried , Y. Gabellini

The mechanism of low energy physics formation in the framework of multidimensional gravity is discussed. It is shown that a wide set of parameters of a primary theory could lead to the observable Universe. Quantum fluctuations of extra…

General Relativity and Quantum Cosmology · Physics 2013-02-12 S. G. Rubin

This article is based on the Planckon densely piled vacuum model and the principle of cosmology. With the Planck era as initial conditions and including the early inflation, we have solved the Einstein-Friedmann equations to describe the…

General Physics · Physics 2014-10-28 Shun-Jin Wang

We consider and review the emergence of singular energy densities and field fluctuations at sharp boundaries or point-like field sources in the vacuum. The presence of singular energy densities of a field may be relevant from a conceptual…

The only known general base to eliminate the vacuum divergencies of quantized matter fields in quantum geometrodynamics is the fermion-boson supersymmetry. The topological effect of the closed Universe -- discretization of the vacuum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. B. Savchenko , V. A. Savchenko , G. M. Vereshkov

In the Hamiltonian formulation of General Relativity the energy associated to an asymptotically flat space-time with metric $g_{\mu\nu}$ is related to the Hamiltonian $H_{GR}$ by $E=H_{GR}[g_{\mu\nu}]-H_{\rm GR}[\eta_{\mu\nu}]$, where the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-22 Michele Maggiore

An expanding universe is not expected to have a static vacuum energy density. The so-called cosmological constant $\Lambda$ should be an approximation, certainly a good one for a fraction of a Hubble time, but it is most likely a temporary…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Joan Sola
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