III.2.4 Note I (super-symmetry and pair production):
We can remarkably notice that even from these equations that are purely based on the classical definition of energy and momentum, super-symmetry and pair production and annihilation is clearly indicated by the presence of two terms that result from calculating the derivative of momentum or energy. For example, in the staring equation we put: , and then we either have an abrupt change of speed in the inner time as in section III.2.2 where the mass is constant so that , or mass generation in the inner time, without motion in the outer time so that , as in section III.2.3. In reality, these two instances are realized in parallel, but on two orthogonal directions of time, as if both the mass and velocity are vectors, and that s for a good reason since with the new complex-time energy will be also complex and thus mass.
Therefore, when we derive or integrate the momentum or the energy of any closed system, the total change will be always zero, even when the velocity changes! So the momentum and the energy are always invariant as we shall see further in section III.2.9. This is because the change in the apparent velocity will be compensated with a change in the apparent mass, but in reality nothing is changing in the total system that includes both the physical and psychical worlds, which are the two pairs of super-symmetry. This exchange is better described by the equation that we described in the previous chapter.