Preprint Article Version 1 This version is not peer-reviewed

Determining a Quantum Theory of the Infinite-Component Majorana Field

Version 1 : Received: 13 November 2017 / Approved: 14 November 2017 / Online: 14 November 2017 (05:07:32 CET)

How to cite: Nanni, L. Determining a Quantum Theory of the Infinite-Component Majorana Field. Preprints 2017, 2017110084 (doi: 10.20944/preprints201711.0084.v1). Nanni, L. Determining a Quantum Theory of the Infinite-Component Majorana Field. Preprints 2017, 2017110084 (doi: 10.20944/preprints201711.0084.v1).

Abstract

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, 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.

Subject Areas

infinite-component spinor; superluminal Lorentz transformations; Dirac field; tachyon field

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