A classical unified field theory relating to electricity and mass is proposed. It indicates that uncertainty relations are the intrinsic attributes of space-time, and the law of the uncertainty quantities’ change can be described by the potential functions of the space-time. The electromagnetic field is a stimulated state of the space-time, associated with electricity;its behaviors exhibit the properties of the positive potentials and . The gravitowagnetic field is another stimulated state of the space-time related to mass;its properties are governed by the negative potentials - and -. The gauge invariance and the symmetries of the set of ?and ?and the set of - ?and - ?determine mostly the interaction forms for the fields, and there are some corresponding physical properties between the two kinds of fields, including the weak interactions due to the spontaneous symmetry breaking of the potential functions. The discovery of the wagnetic field reminds us that there may be additional interactions beyond the conventional forms. Our theory provides an available foundation for the grand unified theory.
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