Newton's First Law and the Maxwell Electromagnetic Stress-Energy Tensor

According to Newton's first law of motion, an object at rest or in motion will continue in the same manner unless acted upon by an external force. In deriving the Maxwell electromagnetic stress-energy tensor only one field source was used for both the electric and magnetic fields. One is essentially stating that each field is both the particle's field and the external applied fields simultaneously, in complete violation of Newton's first law. This is the principle reason I developed and derived a General Maxwell Electromagnetic Stress-Energy Tensor using two field source components, namely two electric and two magnetic fields. One set for the particle's intrinsic fields and the other source for the external applied fields.

In deriving the General Maxwell Electromagnetic Stress-Energy Tensor, the force equation fundamentally has to do with an external applied field on a current density term having it's own intrinsic fields. From the onset, one needs to define two distinct field sources within a frame work of two distinct coordinate systems in order to proceed. This requirement results in a more complex tensor, but with a clearer understanding of field interactions that elucidate process and dynamical mechanisms involved.

At the root of this process, the tensor equations that are used to describe force, conservation of energy and momentum must include distinct field source interactions. Tensors that do not use distinct field sources violate the fundamental laws of mechanics, specifically Newton's first law of motion.

Maxwell Electromagnetic Stress-Energy Tensor - one source for the electric and magnetic fields.

General Maxwell Electromagnetic Stress-Energy Tensor - two sources for the two electric and two magnetic fields.

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