TWISTOR PHASE-SPACE DYNAMICS AND THE LORENTZ FORCE EQUATION

Using the Lorentz force equation as an input a Hamiltonian mechanics o n the nonprojective two twistor phase space TXT is formulated. Such a construction automatically reproduces dynamics of the intrinsic classi cal relativistic spin. The charge appears as a dynamical variable. It is also shown that if the classical relativistic spin function on TXT vanishes, the natural conformally invariant symplectic structure on TX T reduces to the natural symplectic structure on the cotangent bundle of the Kaluza-Klein space.