Tachyons in the framework of the two centres particles

Abstract

Using the fluid droplet model of elementary particles, we propose to introduce two spinor fields ϕ and η in order to define two centres. We introduce a new concept of invariance in connection with the possibility that the particle may have a velocity larger than the velocity of light without the need to introduce imaginary proper masses, proper time and proper length. To this new concept, we attach new invariance groups that we interpret physically. In a simple case, we propose a dynamical equation for tachyons.