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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

We propose in this paper a new approach to the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time. By considering a natural geometric definition of a…

General Relativity and Quantum Cosmology · Physics 2022-10-17 Stephane Collion , Michel Vaugon

We use experimental limits on Lorentz violation to obtain new constraints on Kaluza-Klein-type theories in which the extra dimensions may be large but do not necessarily have units of length. The associated variation in fundamental…

High Energy Physics - Phenomenology · Physics 2016-07-18 James M. Overduin , Hamna Ali

Effects of universal extra dimensions on Standard Model observables first arise at the one-loop level. The quantization of this class of theories is therefore essential in order to perform predictions. A comprehensive study of the Standard…

High Energy Physics - Phenomenology · Physics 2012-04-24 A. Cordero-Cid , M. Gómez-Bock , H. Novales-Sánchez , J. J. Toscano

If Kaluza-Klein ideas were correct as an explanation of Yang-Mills and General Relativity on spacetime, the extra fibre geometry would have to be a sphere of constant size of the order of 10 Planck lengths, hence subject to quantum gravity…

High Energy Physics - Theory · Physics 2025-07-30 Chengcheng Liu , Shahn Majid

We propose a Kaluza-Klein approach to general relativity of 4-dimensional spacetimes. This approach is based on the (2,2)-splitting 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 2008-02-03 J. H. Yoon

The main purpose of our paper is to construct a viable Kaluza-Klein model satisfying the observable constraints. To this end, we investigate the six-dimensional model with spherical compactification of the internal space. Background matter…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Ezgi Yalçınkaya , Alexander Zhuk

One of the leading candidates for quantum gravity, viz. string theory, has the following features incorporated in it. (i) The full spacetime is higher dimensional, with (possibly) compact extra-dimensions; (ii) There is a natural minimal…

High Energy Physics - Theory · Physics 2014-11-18 Michele Fontanini , Euro Spallucci , T. Padmanabhan

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

The Kaluza and Klein versions of Kaluza-Klein theory are reviewed and compared. The differences in the field equations of the two theories are related to the transformation properties of the metrics employed. Based on this comparison a…

High Energy Physics - Theory · Physics 2008-12-09 Terence V. Sewards

We consider Kaluza-Klein models with background matter in the form of a multicomponent perfect fluid. This matter provides spherical compactification of the internal space with an arbitrary number of dimensions. The gravitating source has…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Maxim Eingorn , Seyed Hossein Fakhr , Alexander Zhuk

We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius $a$) compactification of the internal space. The model contains also a bare multidimensional cosmological constant…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

Some reasonings are presented that the problem of a singularity in general relativity with the problem of freezing of the $5^{th}$ dimension can be connected. It is shown that some solutions in the 5D Kaluza-Klein gravity with the cross…

General Relativity and Quantum Cosmology · Physics 2007-07-02 Vladimir Dzhunushaliev , Ratbay Myrzakulov

Possible experimental manifestations of the contribution of heavy Kaluza-Klein particles, within a simple scalar model in six dimensions with spherical compactification, are studied. The approach is based on the assumption that the inverse…

High Energy Physics - Theory · Physics 2010-11-01 E. Elizalde , Yu. Kubyshin

The five-dimensional loop quantum Kaluza-Klein cosmology is constructed based on the symmetric reduction of the connection formulation of the full theory. Through semiclassical analysis, the effective scalar constraint for the cosmological…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Shengzhi Li , Yongge Ma , Faqiang Yuan , Xiangdong Zhang

We consider a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric is allowed to have explicit dependence on the "extra" coordinate(s). This is the usual scenario in brane-world and space-time-matter…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Ponce de Leon

A modification of Kaluza-Klein theory is proposed which is general enough to admit an arbitrary finite noncommutative internal geometry. It is shown that the existence of a non-trival extension to the total geometry of a linear connection…

High Energy Physics - Theory · Physics 2009-10-28 A. Kehagias , J. Madore , J. Mourad , G. Zoupanos

Given a super-integrable system in $n$ degrees of freedom, possessing an integral which is linear in momenta, we use the "Kaluza-Klein construction" in reverse to reduce to a lower dimensional super-integrable system. We give two examples…

Exactly Solvable and Integrable Systems · Physics 2018-08-01 Allan P. Fordy

Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism and gravity have been studied in this context. We review…

High Energy Physics - Theory · Physics 2007-05-23 J. Madore , J. Mourad

We consider a Kaluza-Klein string solution of five-dimensional spacetime. We study its physical properties as appearing in (3+1) spacetime. This metric embraces several different aspects of solutions. The two most notable examples are the…

General Relativity and Quantum Cosmology · Physics 2020-01-22 A. Farahani , N. Riazi
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