Relativity and Cosmology

    

Kaluza in Four Dimensions (with Complex Time)

Authors: Carlton Frederick

A number of researchers have employed complex time. If time is complex, it is reasonable to allow the time components of the metric tensor to also be complex. The four imaginary quantities in the metric tensor can be shown to be consistent with the values of the magnetic vector potential. The (four-dimensional complex) line element is then shown to be functionally identical to the Kaluza 5-dimentional line element. The four dimensional (complex) metric therefore inherits the results Kaluza obtained when he included the magnetic vector potential in a ve dimensional metric.

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[v1] 2020-01-30 16:34:24

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