6.2. The fundamental equations of the electromagnetostatics

        The field of electromagnetic effects of an electron at rest is summarized by the following system of equations

with A given by 6.3. Since fields x and b are addictive (Superposition Principle) but the translational, unlike the rotational, does not obey the distributive property, system 6.5 is not to be generalized to all electromagnetic fields. In other words, the electromagnetic field (x, b) of a population of electrons cannot as a rule be expressed in terms of a single A vector [This fact answers for the unyielding character of Maxwell’s equations]. In this case then have

        The corresponding effect equation is

with x and b calculated by 6.6; Fj is the electromagnetic force that acts upon an electron j placed in an electromagnetic stationary field; K1 and K2 are constant. Equations 6.5 and 6.6 keep in their contents the totality of the electromagnetostatics (with the exception of an important factor related to the induction field t mentioned in item 3.3).

6.3. The scalar electromagnetic field

        It is possible [39] to consider the electromagnetic field of an electron through a scalar function j given for

        Therefore, it is enough to define x and b through the expressions

and to observe that the function j presents the following properties

So, we can easily demonstrate that

xi = Ai
bi = Ai

and consequently the compatibility between 6.8 and 6.3.

6.4. The electromagnetic information (e.m.i.)

        Equations 6.9 show us that the electromagnetic field (x,b) of the electron can be described in terms of the gradient of a function position j. So, we may conjecture about the actual existence of something emitted by the electron and call it electromagnetic information (e.m.i.). Equation 6.8 suggests something else —once emitted the e.m.i. are preserved. In other words the electron is an e.m.i. emitter source and the e.m.i. flow that crosses any surface identifies itself with the flow of an h vectorial field expressed by

h = - j

6.11

        It is implicit in these considerations that h belongs to the h = rc type, when r is an invariant that represents the local density of e.m.i. and c is the speed spread by these e.m.i. in an appropriate reference system.