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

Autor: Martin Tajmar, L. L. Williams
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physics, Vol 2, Iss 33, Pp 587-595 (2020)
Physics
Volume 2
Issue 4
Pages 33-595
ISSN: 2624-8174
Popis: 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&mdash
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.
Databáze: OpenAIRE