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arXiv · 1507.03184

Geometrical Interpretation of Electromagnetism in a 5-Dimensional Manifold

TaeHun Kim·Hyunbyuk Kim
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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.

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TaeHun Kim, Hyunbyuk Kim. 2015-07-12. Geometrical Interpretation of Electromagnetism in a 5-Dimensional Manifold. https://doi.org/10.1088/1361-6382/aa733d

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