Mathematical Physics


Maxwell and Dirac Field with Three-Dimensional Time

Authors: Vu B Ho

In this work we further examine possible mathematical structures and physical properties of Maxwell and Dirac field by formulating the two fields in a six-dimensional spatiotemporal manifold in which both space and time have three dimensions. We show that although Maxwell and Dirac field each can be formulated as a single field in a more symmetrical structure in terms of space and time in the six-dimensional spatiotemporal continuum, Maxwell and Dirac six-dimensional field can be decoupled into two separate fields that exist in the Minkowski pseudo-Euclidean spactime and the Euclidean three-dimensional temporal manifold, respectively. The coexistent temporal elliptic field to Maxwell field in the three-dimensional temporal manifold is a free field and the coexistent temporal elliptic field to Dirac field is massless. While Maxwell and Dirac field comply with the pseudo-Euclidean relativity, both coexistent fields conform to the temporal Euclidean relativity.

Comments: 14 Pages.

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Submission history

[v1] 2019-09-06 00:09:24

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