Some statistical aspects of the spinor field Fermi-Bose duality

Abstract

The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, Vol. 375, 2479, is considered in brief. Using this algebra, the property of Fermi-Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermionic but also the bosonic states. The proof of our assertion based on the examples of bosonic symmetries, solutions and conservation laws is given. Some statistical aspects of the spinor field Fermi-Bose duality are discussed.

Keywords

• spinor field
• symmetry
• group-theoretical analysis
• supersymmetry
• Foldy-Wouthuysen representation
• Clifford-Dirac algebra
• Fermi-Bose duality