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We construct a distinguished set of positive and negative energy modes of the Klein-Gordon equation for any Born frame of reference in Minkowski's space-time. Unlike the case of a galilean frame of reference it is unclear whether this set…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lluis Bel

We suppose that there are both particles with negative energies described by L_{W} and particles with positive energies described by L_{F}, L_{W} and L_{F} are independent of each other before quantization, dependent on each other after…

High Energy Physics - Theory · Physics 2007-05-23 Shi-Hao Chen

In many interesting models, including superstring theories, a negative vacuum energy is predicted. Although this effect is usually regarded as undesirable from a cosmological point of view, we show that this can be the basis for a new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. I. Guendelman , A. B. Kaganovich

We define a modified covariant Klein-Gordon (KG) equation containing quantum vacuum contributions arising from the self-interaction of matter with its own internal kinetic energy. The modified KG equation is exemplified for a variety of…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Dor Gabay , Sijo K. Joseph

We discuss the problem of defining a preferred vacuum state at a given time for a quantized scalar field in Friedmann, Lema\^itre, Robertson Walker (FLRW) space-time. Among the infinitely many homogeneous, isotropic vacua available in the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Ivan Agullo , William Nelson , Abhay Ashtekar

In this paper, our focus is on investigating the impact of cosmological constant on relativistic quantum systems comprising spin-0 scalar particles. Our analysis centers around the Klein-Gordon equation, and we obtain both approximate and…

General Relativity and Quantum Cosmology · Physics 2024-04-02 Faizuddin Ahmed , Abdelmalek Bouzenada

Five-dimensional relativity as an extension of general relativity has field equations that simplify considerably given the adoption of a new gauge. The result is a scalar field governed by the Klein-Gordon equation, in an empty spacetime…

General Relativity and Quantum Cosmology · Physics 2013-01-28 Paul S. Wesson , James M. Overduin

We uncover an infinite number of vacua in two-dimensional quantum field theory, the Klein-Gordon field for simplicity, by conceiving a new mode that is classified by a real positive parameter $\kappa$. We show each mode has a distinct…

High Energy Physics - Theory · Physics 2023-02-02 Arash Azizi

We consider the definition of the global vacuum state of a quantum scalar field on $n$-dimensional anti-de Sitter space-time as seen by an observer rotating about the polar axis. Since positive (or negative) frequency scalar field modes…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Carl Kent , Elizabeth Winstanley

A new model of oscillators was suggested, in which an oscillating particle in the minimum energy state has a nonzero velocity. A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon…

Pattern Formation and Solitons · Physics 2019-07-19 Rishat Salimov

New quantum modes of the free scalar field are derived in a special time-evolution picture that may be introduced in moving charts of de Sitter backgrounds. The wave functions of these new modes are solutions of the Klein-Gordon equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ion I. Cotaescu , Cosmin Crucean , Adrian Pop

Recently, we have proposed a definition for the vacuum and suggest a mechanism for symmetry breaking. In this mechanism extra massless fields, vacuum fields, arise. We apply our method to the standard model of particle physics and obtain…

High Energy Physics - Phenomenology · Physics 2017-09-15 Ahmad Mohamadnejad

We construct the instantaneous vacuum state for a quantum scalar field coupled to another classical scalar field as described in [1]. We then compare it with the state of low energy constructed for a particular solution. We show that under…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Antonio Ferreiro , Silvia Pla

In this work, we present an overview of uniqueness results derived in recent years for the quantization of Gowdy cosmological models and for (test) Klein-Gordon fields minimally coupled to Friedmann-Lema\^{\i}tre-Robertson-Walker, de…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Jerónimo Cortez , Guillermo A. Mena Marugán , José Velhinho

In this work we study spin-0 particles described by the Klein-Gordon oscillator formalism in a spacetime which structure is determined by a homogeneous magnetic field and a cosmological constant. For this purpose we take into account a…

General Relativity and Quantum Cosmology · Physics 2024-12-30 L. G. Barbosa , C. C. Barros

The problem of finding a vacuum definition for a single quantum field in curved space-times is discussed under a new geometrical perspective. The phase space dynamics of the quantum field modes are mapped to curves in a 2-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Mariana Penna-Lima , Nelson Pinto-Neto , Sandro D. P. Vitenti

Shortly the vacuum component of the Universe from the geometry point of view and from the point of view of the standard model of physics of elementary particles is discussed. Some arguments are given to the calculated value of the…

Astrophysics · Physics 2009-12-15 V. Burdyuzha , G. Vereshkov

It will be argued here that the cosmological constant problem exists because of the way the vacuum is defined in quantum field theory. It has been known for some time that for QFT to be gauge invariant certain terms--such as part of the…

General Relativity and Quantum Cosmology · Physics 2008-06-20 Gerald E. Marsh

We outline the evaluation of the cosmological constant in the framework of the standard field-theoretical treatment of vacuum energy and discuss the relation between the vacuum energy problem and the gauge-group spontaneous symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. A. Andrianov , F. Cannata , P. Giacconi , A. Yu. Kamenshchik , R. Soldati

A possible way for the consistent probability interpretation of the Klein-Gordon equation is proposed. It is assumed that some states of a scalar charged particle cannot be physically realized. The rest of quantum states are proven to have…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Semenov , C. V. Usenko , B. I. Lev
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