BRADYON-LUXON SYMMETRY

We propose a spacetime scheme representing the union of the real and n on-real spacetime as a possible geometrical framework for Caldirola's idea, that the bradyonic motion can be regarded as a light-like motion in an additional extra space. The playground of all physical processe s is the union space. However, the physical processes in union space a re differently projected on the real and non-real spacetime. The waves linked with luxons in union space are projected on the real spacetime so that they propagate here always with the velocity of light. The wa ves linked with bradyons in union space are projected on the non-real spacetime so that they propagate here with the velocity of light. The wave linked with a bradyon in union space, which is projected on the r eal spacetime, is here described by the Schroedinger and Dirac equatio ns. There is proposed a symmetry which demands that the physical world is in its law the same whether it is seen from real or non-real space time. We discuss some consequences of this symmetry in the theory of e lementary particles.