Abstract
In this paper a covariant quantization of complex space‐time is proposed. As a consequence of this quantization each of the four real coordinates can take discrete values n½l, and furthermore, measurements of these coordinates are noninterfering with each other. Next the general theory of quantized free fields is developed in the background of quantized space‐time. As an example the case of complex scalar field has been dealt with and it is found that the resulting Green's functions are nonsingular.

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