Geometrical interpretation of electromagnetism in a 5-dimensional manifold. (4th July 2017)

• Record Type: Journal Article
• Authors: Kim, TaeHun; Kim, Hyunbyuk
• Is Part Of: Classical and quantum gravity. Volume 34:Number 15(2017:Aug.)
• Publication Date: 2017-07-04
• Subjects: Kaluza–Klein theory -- Einstein–Maxwell equations -- general relativity -- manifold deformation; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aa733d
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In this paper, Kaluza–Klein theory is revisited and its implications are elaborated. We show that electromagnetic 4-potential can be considered as a shearing-like deformation of a 5-dimensional (5D) manifold along the fifth (5th) axis. The charge-to-mass ratio has a physical meaning of the ratio between the movement along the direction of the 5th axis and the movement in the 4D space-time. In order to have a 5D matter which is consistent with the construction of the 5D manifold, a notion of particle-thread is suggested. Examinations on the compatibility of reference frames reveal a covariance breaking of the 5th dimension. The field equations which extend Einstein's field equations give the total energy-momentum tensor as a sum of that of matter, electromagnetic field, and the interaction between electric current and electromagnetic potential. Finally, the experimental implications are calculated for the weak potential case.