Abstract
This is the first of the series of three papers which introduces complex space‐time to describe physical phenomena. The objective of this generalization is twofold: firstly, to geometrize gauge transformations and electromagnetic fields, and secondly, to quantize space‐time in order to remove serious divergences from the field theory. In this paper classical fields are discussed in complex space‐time with a view of subsequent generalization to quantum field theory in quantized space‐time.

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