2015/07/31 by TaeHun Kim, Hyunbyuk Kim
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical unified field theories #Covariance #Electromagnetic field #Electromagnetic tensor #Electromagnetism #General covariance #Interpretation (philosophy) #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1088/1361-6382/aa733d
published in Classical and Quantum Gravity 34(15), 155006 (IOP Publishing) · 23 pages, Latex, grammatical errors in text and a few index errors in equations were corrected to be consistent with the published version
openalex publication_date 2017/05/16 · arxiv created 2017/08/13 · arxiv updated 2017/08/15 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
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.