Majorana spinor from the point of view of geometric algebra

  • A. Dargys
Keywords: Majorana spinors, Dirac–Majorana equation, geometric algebra, Clifford algebra


Majorana spinors are constructed in terms of the multivectors of relativistic Cl1,3 algebra. Such spinors are found to be multiplied by primitive idempotents which drastically change spinor properties. Running electronic waves are used to solve the real Dirac–Majorana equation transformed to Cl1,3 algebra. From the analysis of the solution it is concluded that free Majorana particles do not exist, because relativistic Cl1,3 algebra requires the massive Majorana particle to move with light velocity.
Mathematical and Computational Physics