MATTER LOCALIZATION AND RESONANT DECONFINEMENT IN A TWO-SHEETED SPACE–TIME

In recent papers, a model of a two-sheeted space–time M4 ×Z2 was introduced and the quantum dynamics of massive fermions was studied in this framework. In the present study, we show that the physical predictions of the model are perfectly consistent with observations and most importantly, it can solve the puzzling problem of the four-dimensional localization of the fermion species in multidimensional space–times. It is demonstrated that fermion localization on the sheets arises from the combination of the discrete bulk structure and environmental interactions. The mechanism described in this paper can be seen as an alternative to the domain wall localization arising in continuous five-dimensional space–times. Although tightly constrained, motions between the sheets are, however, not completely prohibited. As an illustration, a resonant mechanism through which fermion oscillations between the sheets might occur is described.

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SCALAR KINK BRANEWORLDS AND COSMOLOGY

Modern Physics Letters A ◽

10.1142/s0217732307025194 ◽

2007 ◽

Vol 22 (25n28) ◽

pp. 1959-1969

Author(s):

RAYMOND R. VOLKAS

Keyword(s):

Domain Wall ◽

Standard Model ◽

Domain Walls ◽

Dimensional Space ◽

De Sitter ◽

Frw Metric ◽

Fermion Localization

Our universe might be a domain wall or kink carrying localized standard model fields embedded in a 4 + 1-dimensional space. I report on some initial studies of the cosmology of such a model, focusing on the relatively simple de Sitter (dS) and Anti-de Sitter (AdS) cases for the effective 3 + 1-dimensional FRW metric. Fermion localization to the AdS4 and dS4 domain walls is briefly discussed.

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Induced gravity and universe creation on the domain wall in five-dimensional space-time

Theoretical and Mathematical Physics ◽

10.1007/s11232-006-0085-6 ◽

2006 ◽

Vol 148 (1) ◽

pp. 880-894 ◽

Cited By ~ 3

Author(s):

A. A. Andrianov ◽

V. A. Andrianov ◽

P. Giacconi ◽

R. Soldati

Keyword(s):

Domain Wall ◽

Dimensional Space ◽

Space Time ◽

Induced Gravity ◽

Dimensional Space Time

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THE DYNAMICS OF OPEN STRINGS IN A BACKGROUND ELECTROMAGNETIC FIELD

International Journal of Modern Physics A ◽

10.1142/s0217751x89001023 ◽

1989 ◽

Vol 04 (10) ◽

pp. 2627-2652 ◽

Cited By ~ 43

Author(s):

V.V. NESTERENKO

Keyword(s):

Electromagnetic Field ◽

Electric Field ◽

Quantum Dynamics ◽

Dimensional Space ◽

Open String ◽

External Electromagnetic Field ◽

Space Time ◽

Bosonic String ◽

Classical Level ◽

Dimensional Space Time

The classical and quantum dynamics of an open bosonic string propagating in the D-dimensional space-time in the presence of a background electromagnetic field is investigated. An important point in this consideration is the use of the generalized light-like gauge. There are considered the two types of strings: the neutral strings with charges at their ends obeying the condition q1+q2=0 and the charged strings having a net charge q1+q2≠0. The consistency of the theory demands that the background electric field does not exceed its critical value. The distance between the mass levels of the neutral open string decreases (1−e2) times in comparison with the free string where e is the dimensionless strength of the electric field. The magnetic field does not affect this distance. It is shown that at a classical level, the squared mass of the neutral open string has a tachyonic contribution due to the motion of the string as a whole in transverse directions. The tachyonic term disappears if one considers, instead of M2, the string energy in a special reference frame where the projection of the total canonical momentum of the string onto the electric field vanishes. The contributions due to zero point fluctuations to the energy spectrum of the neutral string and to the Virasoro operators in the theory of charged string are found. It is shown that the constraint on the strength of an external electric field is absent when the open bosonic string is placed in an external electromagnetic field of a special configuration. In the case of four-dimensional space-time, it corresponds to the electric and magnetic fields which are equal and perpendicular to each other (isotropic configuration). The external electromagnetic field does not act on the fermionic variables of the spinning string.

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Standard model of fermions on the domain wall in five-dimensional space-time

Journal of Mathematical Sciences ◽

10.1007/s10958-008-9006-6 ◽

2008 ◽

Vol 151 (2) ◽

pp. 2801-2812

Author(s):

A. A. Andrianov ◽

V. A. Andrianov ◽

P. Giacconi ◽

R. Rodenberg ◽

R. Soldati

Keyword(s):

Domain Wall ◽

Standard Model ◽

Dimensional Space ◽

Space Time ◽

Dimensional Space Time

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General relativistic results for a galactic disc in a multidimensional space-time

Proceedings of the International Astronomical Union ◽

10.1017/s1743921307005364 ◽

2006 ◽

Vol 2 (S238) ◽

pp. 343-344

Author(s):

Carlos H. Coimbra-Araújo ◽

Patricio S. Letelier

Keyword(s):

Dimensional Space ◽

Space Time ◽

Multidimensional Space ◽

Galactic Disc ◽

Relativistic Model ◽

Dimensional Space Time ◽

General Relativistic ◽

The Stability ◽

Circular Geodesic

AbstractWe construct an exact and simple general relativistic model to describe a galactic disc based on a Schwarzschild disc immersed in a six dimensional space-time. The stability of this configuration is studied and we present results for the calculation of circular geodesic orbits.

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Topology knots and hierarchy problem

10.31219/osf.io/7tqrw ◽

2019 ◽

Author(s):

Vitaly Kuyukov

Keyword(s):

Quantum Theory ◽

String Theory ◽

Quantum Gravity ◽

Dimensional Space ◽

Space Time ◽

Elementary Particles ◽

Hierarchy Problem ◽

Topological Quantum ◽

Dimensional Space Time ◽

New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

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