Geometrical and physical interpretation of the evolution governed by mass-shell equation

It is shown that the mass-shell equation as a quadratic polynomial equation induces general complex algebra, GC, which generate an additional evolution equation. We explore the evolution generated by GC-algebra and give geometrical and physical interpretations for that motion. It is shown that the evolution governed by GC-algebra describes the motion of the relativistic particle which is depicted on the Euclidean plane as a motion of the straight line, tangent to the circle with radius equal to the mass, around this circle. The momenta of the particle are expressed by the functions regular near the state with m = 0, v = c. The reflection from the momenta of the massless particle onto the massive one is interpreted as a q-deformation