Abstract
A brief description of the ordinary field theory, from the variational and Noether's theorem point of view, is outlined. A discussion is then given of the field equations of Klein-Gordon, Schrödinger, Dirac, Weyl, and Maxwell in their ordinary form on the Minkowskian space-time manifold as well as on the topological space-time manifold R × S3 as they were formulated by Carmeli and Malin, including the latter's most general solutions. We then formulate the general variational principle in the R × S3 topological space, from which we derive the field equations in this space.
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Carmeli, M., Malka, A. Field theory onR×S 3 topology: Lagrangian formulation. Found Phys 20, 71–110 (1990). https://doi.org/10.1007/BF00732936
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DOI: https://doi.org/10.1007/BF00732936