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Space-time--time couples Kaluza's five-dimensional geometry with Weyl's conformal space-time geometry to produce an extension that goes beyond what either of those theories can achieve by itself. Kaluza's ``cylinder condition'' is replaced…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

We consider Kaluza-Klein theories as candidates for the unification of gravity and the electro-weak model. In particular, we fix how to reproduce geometrically the interaction between fermions and gauge bosons, in the low energy limit.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francesco Cianfrani , Giovanni Montani

We consider Kaluza-Klein (KK) models where internal spaces are compact Einstein spaces. These spaces are stabilized by background matter (e.g., monopole form-fields). We perturb this background by a compact matter source (e.g., the system…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

In his search for a unified field theory that could undercut quantum mechanics, Einstein considered five dimensional classical Kaluza-Klein theory. He studied this theory most intensively during the years 1938-1943. One of his primary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeroen van Dongen

In this paper, we revisit the Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We study the momentum map of the corresponding symmetry group $G_1$ which conserves…

Mathematical Physics · Physics 2024-07-29 Géry de Saxcé

We extend the classical general relativistic theory of measurement to include the possibility of existence of higher dimensions. The intrusion of these dimensions in the spacetime interval implies that the inertial mass of a particle in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , Bahram Mashhoon

An important feature of Kaluza-Klein theories is their ability to relate fundamental physical constants to the radii of higher dimensions. In previous Kaluza-Klein theory, which unifies the electromagnetic field with gravity as…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frank Reifler , Randall Morris

In presence of a magnetic field, photons can mix with any particle having a two-photon vertex. In theories with large compact extra-dimensions, there exists a hierachy of massive Kaluza-Klein gravitons that couple to any photon entering a…

High Energy Physics - Phenomenology · Physics 2009-10-07 Cedric Deffayet , Jean-Philippe Uzan

We study the implication of the distance and the cobordism conjecture on the 6-dimensional Einstein-Maxwell theory compactified on $S^2$. In this toy model, the radion potential is stabilized by the conspiracy of the curvature of $S^2$ and…

High Energy Physics - Theory · Physics 2024-05-06 Min-Seok Seo

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

We consider QED in five dimensions in a configuration where matter is localized on a 3-brane while foton propagates in the bulk. The idea is to investigate the effects of the Kaluza-Klein modes of the photon in the relativistic regime, but…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Nascimento , C. A de S. Pires , R. F. Ribeiro

We consider the general expressions for the time delay of photons of different energies in the framework of multi-dimensional cosmological models. In models with compactified extra-dimensions (Kaluza-Klein type models), the main source of…

Astrophysics · Physics 2009-11-10 T. Harko , K. S. Cheng

Experimental limits on the violation of four-dimensional Lorentz invariance imply that noncommutativity among ordinary spacetime dimensions must be small. Noncommutativity among extra, compactified spatial dimensions, however, is far less…

High Energy Physics - Phenomenology · Physics 2009-11-07 Carl E. Carlson , Christopher D. Carone

I describe the Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2,2)-fibration of a generic 4-dimensional spacetime, which is viewed as a local product of a (1+1)-dimensional base…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. H. Yoon

In this paper we consider the Kaluza-Klein fields equations in presence of a generic 5D matter tensor which is governed by a conservation equation due to 5D Bianchi identities. Following a previous work, we provide a consistent approach to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Valentino Lacquaniti , Giovanni Montani

We construct a consistent quantum field theory of a dimensionally reduced self-interacting scalar field. The Kaluza-Klein dimensional reduction on the well-known $\Phi^{4}$ scalar theory, on a certain $(4+n)$ spacetime with an arbitrary…

High Energy Physics - Theory · Physics 2018-11-02 M. A. López-Osorio , E. Martínez-Pascual , G. Nápoles-Cañedo , J. J. Toscano

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions describing a system of two general…

High Energy Physics - Theory · Physics 2011-05-05 Cristian Stelea , Kristin Schleich , Donald Witt

The Hamiltonian of relativistic particles with electric and magnetic dipole moments that interact with an electromagnetic field is determined in the Foldy-Wouthuysen representation. Transition to the semiclassical approximation is carried…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. J. Silenko

Various theories of spinning particles are interpreted as realizing elements of an underlying geometric theory. Classical particles are described by trajectories on the Poincare group. Upon quantization an eleven-dimensional Kaluza-Klein…

Quantum Physics · Physics 2007-05-23 Ludger Hannibal

In this thesis we discuss some aspects concerning the construction of a 4D effective theory derived from higher dimensional (in particular 6D) models. The first part is devoted to the study of how the heavy Kaluza-Klein modes contribute to…

High Energy Physics - Theory · Physics 2007-05-23 A. Salvio
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