Journal of Particle Physics

Download PDF (622.3 KB) PP. 33 - 43 Pub. Date: October 17, 2018

DOI: 10.22606/jpp.2018.24001

• Luca Nanni^*
  University of Ferrara, 44100-Ferrara, Italy

In this paper, the quantum theory of the infinite-component Majorana field for the fermionic tower is formulated. This study proves that the energy states with increasing spin are simply composite systems made by a bradyon and antitachyons with half-integer spin. The quantum field describing these exotic states is obtained by the infinite sum of four-spinor operators, in which each operator depends on the spin and the rest mass of the bradyon in its fundamental state. The interaction between bradyon-tachyon, tachyon-tachyon and tachyon-luxon has also been considered and included in the total Lagrangian. The obtained theory is consistent with the CPT invariance and the spin-statistics theorem and could explain the existence of new forms of matter not predictable within the standard model.

Infinite-component spinor, superluminal Lorentz transformations, Dirac field, tachyon field.

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