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Inspired by the five-dimensional Kaluza-Klein theory, we would like to study the dimensional reduction issue of six-dimensional Kaluza-Klein extension in this paper. In particular, we will examine two possible approaches of dimensional…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Tuan Q. Do , W. F. Kao

We present a method to control the regularization scheme dependence in the running of couplings in Kaluza-Klein theories. Specifically we consider the scalar theory in five dimensions, assuming that one dimension is compactified and we…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jisuke Kubo , Haruhiko Terao , George Zoupanos

We describe how a physical theory incorporating the properties of fields deriving from extra-dimensional structures over a four-dimensional spacetime manifold can in principle be obtained through the analysis of a simple initial structure…

General Physics · Physics 2016-10-17 David J. Jackson

We propose in this paper a mathematicians' view of the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time. By considering the classification of…

General Relativity and Quantum Cosmology · Physics 2013-04-23 Michel Vaugon , Benoit Vaugon , Stephane Collion , Marie Dellinger , Zoé Faget

We present a novel derivation of special relativity based on the information physics of events comprising a causal set. We postulate that events are fundamental, and that some events have the potential to receive information about other…

Mathematical Physics · Physics 2010-08-31 Kevin H. Knuth , Newshaw Bahrenyi

The quantum-reduced loop-gravity technique has been introduced for dealing with cosmological models. We show that it can be applied rather generically: anytime the spatial metric can be gauge-fixed to a diagonal form. The technique selects…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Emanuele Alesci , Francesco Cianfrani , Carlo Rovelli

Electron-plasmon interaction in a thin cylindrical wire is described in terms of four-dimensional Kaluza-Klein theory in which angular coordinate of the metal cylinder is considered to be one of the two compactified coordinates. In this…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Igor I. Smolyaninov

In this work, we develop a generalization of Kaluza-Klein theory by considering a purely affine framework, without assuming a prior metric structure. We formulate the dimensional reduction using the geometry of principal fiber bundles and…

General Relativity and Quantum Cosmology · Physics 2025-08-08 Oscar Castillo-Felisola , Aureliano Skirzewski , Jefferson Vaca-Santana

We studied the Raychaudhuri equation in Kaluza-Klein space-time. We derived an additional term that is solely due to Kaluza-Klein's unification. This term affects the defocus of world lines near the singularity of charged higher-dimensional…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Vishnu S Namboothiri

We consider a Kaluza-Klein vacuum solution which is closely related to the Gross-Perry-Sorkin (GPS) magnetic monopole. The solution can be obtained from the Euclidean Taub-NUT solution with an extra compact fifth spatial dimension within…

General Relativity and Quantum Cosmology · Physics 2018-05-08 S. Sedigheh Hashemi , Nematollah Riazi

We derive a modified dispersion relation for massive particles within the frameworks of five-dimensional Kaluza-Klein theory and general relativity, taking into account strong gravitational effects. The resulting effective mass depends on…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Anna Horváth , Aneta Wojnar , Gergely Gábor Barnaföldi

In various areas of modern physics and in particular in quantum gravity or foundational space-time physics it is of great importance to be in the possession of a systematic procedure by which a macroscopic or continuum limit can be…

Mathematical Physics · Physics 2011-07-19 Manfred Requardt

It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic flow on a manifold and an associated dual. This method can be applied to a four dimensional manifold of orbits…

Mathematical Physics · Physics 2015-05-13 Avi Gershon , Lawrence Horwitz

In Kaluza-Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to calculate the formulas for frequency shift,…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Maxim Eingorn , Alexander Zhuk

Extra-dimensions are a common topic in popular descriptions of theoretical physics with which undergraduate student most often have no contact in physics courses. This paper shows how students could be introduced to this topic by presenting…

General Physics · Physics 2017-02-02 Nicolas Deutschmann

In the framework of Kaluza-Klein theory, we investigate a $(4+1)$-dimensional universe consisting of a $(4+1)$ dimensional Robertson-Walker type metric coupled with a $(4+1)$ dimensional energy-momentum tensor. The matter part consists of…

General Relativity and Quantum Cosmology · Physics 2015-05-13 F. Darabi

Beginning with the Pauli-Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbor ``theory spaces'' lead to a discrete mass spectrum. Our model coincides with the Kaluza-Klein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nahomi Kan , Kiyoshi Shiraishi

Einstein theory can be embedded in Kaluza-Klein theory, and in particular all 4D vacuum solutions can be embedded in 5D (pure) canonical space where spacetime is independent of the extra coordinate. The uniqueness of 5D canonical space is…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Paul S. Wesson

In a recent paper [1] a new generalization of the Killing motion, the {\it gauged motion}, has been introduced for stationary spacetimes where it was shown that the physical symmetries of such spacetimes are well described through this new…

High Energy Physics - Theory · Physics 2009-11-07 Mohammad Nouri-Zonoz , Ali Reza Tavanfar

Einstein's general relativity relates the curvature of space time, a second order differential property, to the stress-energy-momentum tensor. In this paper we ask whether it is possible to develop a first order theory relating space-time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yaneer Bar-Yam
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