7. Field-reference frame relationship

7.1. The inertial systems
7.2 Appropriate and not appropriate reference frames
7.2.1. Observer placed in a non appropriate reference frame
7.3. The (x,b) field of the electron in movement

7.1. The inertial systems

        When a Coulomb’s electric charge passes from a resting state to another in a rectilinear and uniform movement, it emits an aura and defines two universes during this acceleration phase:

a) an inner universe containing the charge field adapted to its inertial movement — here everything happens as if the charge were at rest in a reference frame that travels with the charge in a uniform movement; b) an other external universe that contains the charge field at rest in the initial inertial reference frame.

Figure 11: Electric field of a charge in movement

        The aura consists of a mobile membrane of finite thickness and it is the headquarters of a mutant field named electromagnetic radiation. When this aura crosses an area of the space in a considered speed it promotes the transformation of the inertial field (the one with the charge at rest) into another (the one with the charge at rectilinear and uniform movement).

        This phenomenon also happens to electrons since they are accelerated into specific directions as, for example, into an electric current, or enter the plates of a capacitor, or when deviating the direction to the nucleus of an atom while moving from an orbit to another.

        How could the electron field be in a non-inertial system of reference? How could the electron equation be under these circumstances?

        We have seen the 6.3 equation of the electron at rest in the reference system in which we lived. The founded function does not present any dependence on time. We should suspect, however, that the equation of the electron at rest in an accelerated reference system shows some dependence on time. And we should also admit that in an allowed orbit the electron equation —obtained from a reference frame that followed it in this movement—should present a solution that is different from 6.3 in a periodic way and presents a stationary character.

        The equations presented in the previous items were deduced in a very special reference system —in the reference frame of Coulomb’s laboratory— or, still, in the reference frame in which Newton deduced the laws of mechanics. What should be made to generalize them? What is an inertial reference system?

        The success of classic mechanics is more than enough to guarantee the existence of the inertial system. In spite of this, classic mechanics did not succeed in defining an inertial reference frame. Quoting Einstein and Infeld: classic mechanics floats in the air because we did not find any rule to determine an inertial system [40].

        By the end of the last century physicists tried to define inertial systems in such a way that they could be adjusted to classic mechanics. They adopted the logic of trying to consider them under field theories like Maxwell’s. So they tried to characterize a Maxwellian inertial frame of reference which, however, was incompatible with the Newtonian inertial reference systems [41]. Einstein’s relativistic physics raised from this incompatibility.

        In this article, we are trying to interpret electromagnetism in a different way from the commonly adopted one —it is time to try to abolish this incompatibility. So I shall say that