Dynamical model of spin-1 and spin-0 particles (II)

Abstract

Equations are proposed that completely describe s = 0, 1 2 , 1 particles, i.e. specify 2 s+2 limiting states in the E → ∞ limit. A set of states closed with respect to the E → ∞ limiting procedure is considered, whence follows the necessity for the introduction of a λ-state corresponding to one-dimensional unitary representation of the Lorentz group. It is shown further, that a cosmological term proportional to the square of the λ-state strength should be introduced in gravitation theory. On the basis of the Lorentz group, a table of fundamental interactions is proposed and a dual transformation for the interacting system is introduced. Appendices deal with a generalisation of the Duffin-Kemmer formalism and a new method for the introduction of interactions.