General Maxwell Theory of Fields (3): Lorentz Covariance, Quantization and Gauge Transformation

This paper first reviews our previous research on the general Maxwell theory of fields, then discusses the topological significance of special relativity and deduces the Lorentz invariant of the gravitowagnetic field based on the field theory established in 3-dimensional space. By means of the successful path of electromagnetic field quantization, the quantization of gravitowagnetic field including gravitational field and wagnetic field is derived. Under the condition of ensuring the invariance of the 4-dimensional spacetime interval and the positive direction of time, a parity 4-dimensional spacetime coordinate system is established, and the tensor form of the vacuum field compatible with electromagnetic field and gravitowagnetic field is derived in the system. It is proved that the excited-state vacuum field generated by stationary mass and moving mass is Lorentz covariant. The unified expression of the electromagnetic field and the gravitowagnetic field is obtained, which is a representative formula of general Maxwell theory of fields. Finally, the gauge transformation of the field is discussed.