Parton-like particle bound states as solutions of a linearized relativistic equation

Abstract

Within Clifford Algebra and a twistor formalism, we analyze a simingly five dimensional and massive Dirac square root like linearized equation in terms of bilinear twistor operators. The equation is transformed to an eigenvalue problem with the help of the procedure known as Jordan’s map. The solutions for this equation consist of a discrete spectrum of massive bound particle states, which we may call elementary internal excitations. The five-dimensional formalism is embedded in otherwise standard spacetime complex Clifford Algebra.