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An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension

1
Institute of Aerospace Engineering, Technische Universität Dresden, 01307 Dresden, Germany
2
Konfluence Research Institute, Manitou Springs, CO 80829, USA
*
Author to whom correspondence should be addressed.
Received: 18 August 2020 / Revised: 30 September 2020 / Accepted: 16 October 2020 / Published: 22 October 2020
(This article belongs to the Section Classical Physics)
Kaluza was the first to realize that the four-dimensional gravitational field of general relativity and the classical electromagnetic field behave as if they were components of a five-dimensional gravitational field. We present a novel experimental test of the macroscopic classical interpretation of the Kaluza fifth dimension. Our experiment design probes a key feature of Kaluza unification—that electric charge is identified with motion in the fifth dimension. Therefore, we tested for a time dilation effect on an electrically charged clock. This test can also be understood as a constraint on time dilation from a constant electric potential of any origin. This is only the second such test of time dilation under electric charge reported in the literature, and a null result was obtained here. We introduce the concept of a charged clock in the Kaluza context, and discuss some ambiguities in its interpretation. We conclude that a classical, macroscopic interpretation of the Kaluza fifth dimension may require a timelike signature in the five-dimensional metric, and the associated absence of a rest frame along the fifth coordinate. View Full-Text
Keywords: Kaluza; charged clocks; time dilation; higher dimensions; classical fields; general relativity Kaluza; charged clocks; time dilation; higher dimensions; classical fields; general relativity
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MDPI and ACS Style

Tajmar, M.; Williams, L.L. An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension. Physics 2020, 2, 587-595. https://0-doi-org.brum.beds.ac.uk/10.3390/physics2040033

AMA Style

Tajmar M, Williams LL. An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension. Physics. 2020; 2(4):587-595. https://0-doi-org.brum.beds.ac.uk/10.3390/physics2040033

Chicago/Turabian Style

Tajmar, Martin, and Lance L. Williams. 2020. "An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension" Physics 2, no. 4: 587-595. https://0-doi-org.brum.beds.ac.uk/10.3390/physics2040033

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