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The "second group of Petit" or "geminate group."
Let us introduce the new playing field:
The space in which particles evolve within a structure composed of two elements (two universes), the whole constituting the quotient of the group (Petit's group) by its orthochronous subgroup. We now examine the movements associated with the different components (shaded (253))
These movements, linked to the components of the first sector (shaded), occur within the "matter" sector of the first universe, where particles with positive energy evolve. This is "ordinary matter." We have a similar diagram for photons with positive energy (diagram 1 bis):
(254)
(255)
Now consider the element (l = 1; m = -1). There is no z-symmetry. Therefore, it is matter. But we have PT and CPT symmetry. The movement of this CPT-symmetric particle takes place in the universe of negative-energy motion. In our view, this is the correct interpretation of the "CPT theorem." The CPT-symmetric counterpart of matter is indeed matter, but with energy now negative (one might speak of E-symmetry), and it then travels through the second universe (the ghost universe in our cosmological model).