The vector K is the factor expressing the value of a preferential direction and, consequently, in compliance with a principle of conservation of isotropy, it must also condition the dynamics of wave sources.

The sum of two vectors K in the same direction triggers a reaction toward a minimum optimum condition, that shows us a new physical principle we will call: relative isotropy principle.

The action of this principle embraces both the dynamics of the wave masses and the vector dynamics of the wave electromagnetic interactions, giving a sound justification of the models of charges in the Wave Field Theory.

Two equal charges subjected to the relative isotropy principle go away from each other because they tend to get two specific results:

1. when the wave sources go away, the primary wavelengths of both particles increase owing to Doppler effect, and the internal density of the vectors K decreases between the two charges;
   

2. at the same time, in the central zone, the modulus of the vectors K decreases since at the center of the system there are some primary wavefronts whose radius of curvature increases continuously owing to the increase of the distance between the two charges.

In this case the observable result is a mutual repulsion of the two electrons, but the conditions of the vector dynamics belong to the behavior of all the particles pairs having equal charge and an electromagnetic interaction.

Now, let us observe what happens when two positrons interact electromagnetically.

No difference seem to exist between the laws of the so-called “specular world” and the physical laws consequent to the conservation of isotropy in the so-called “real world”.

In the specular world two positrons interact exactly as two electrons of the real world.

As well as for the electrons, their spin J _e+ oppose to each other, the vectors K add to one another in the center of the system, while outside the system they subtract from one another; the resulting action of the relative isotropy principle causes a repulsion between the two positrons.

The interaction between the two worlds is also subjected to the same principle.

An electron and a positron wavely interact in a space lacking in significant wave fields:

1) their spin are in a condition of antiparallelism:

J _e- + (-J _e+) = 0

2) the vectors K, that are in opposition among the charges inside the system, are in a condition of antiparallelism and their sum tends to zero:

3) the vectors K, that are at the extremity of the system, are parallel and their sum has 2K as a maximum value:

K _e+ + K _e+ = 2K

In such zones there is a maximum anisotropy. The relative isotropy principle reacts trying to re-establish isotropy.

In order to understand the causal sequence, let us examine again the two existing possibilities for cancelling the appearance of a privileged direction in the space-time structures.

1) the immission of an opposite direction having a sense opposed to the previous one.

2) the cancellation of the privileged direction, and its disappearance from the space occupied by the structure with which it was identified; in practice, this is virtually possible only when the structure itself disappears.

The first case fulfills the tendency to isotropy in the interactions among charges of equal sign, while the second case regulates the interaction among charges reversed in sign.

With a view to decrease the density of the secondary wave outside the system, the two particles move toward each other.

Doing this way, they decrease density also because the primary wavelength increases for each particle outside the system owing to Doppler effect.

The positron and the electron interpenetrate tending to the superposition of their respective resonance orbits.

When these orbits are really superimposed, an anomalous condition for each of the two waves in resonance condition takes place.

This very istant both particles lose their wave resonance optimum condition, seeing that the ratio between the resonance orbit and the number of waves on the orbit changes.

nl = r2p does not occur anymore for the optimum condition n = 1, but it becomes 2l = r2p 
for n = 2.

Consequently, two waves are on a same orbit; the resonance optimum condition does not exist anymore, and therefore the production of wavefronts on the resonance orbit stops too; a vacuum spherical hole increasingly widens following the last produced wavefronts.

Electron and positron are annihilated, because of their mutual destruction, and the condition of isotropy is re-established.

Before destroying, the two interpenetrating wave structures have produced two symmetrical frequency variations in the spherical waves which were outside on the straight line passing through the centers.

These wave variations propagate in diametrically opposed directions, and they can interact with our instruments. We call them gamma photons.

You could wonder: why hasn't it happened in any previous moment?

The frequency variations cannot be photons until the radii of curvature of the waves deriving from both particle are different. Only at the last moment, when the orbits are about to be superimposed, the radii of curvature are similar and the wavefronts are parallel one another, photons can appear.