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Dynamics is considered as a corollary of the space-time geometry. Evolutionof a particle in the space-time is described as a chain of connected equivalentgeometrical objects. Space-time geometry is determined uniquely by the worldfunction $\sigma $. Proper modification of the Minkowskian world function forlarge space-time interval leads to wobbling of the chain, consisted of timelikestraight segments. Statistical description of the stochastic world chaincoincides with the quantum description by means of the Schr\"{o}dingerequation. Proper modification of the Minkowskian world function for smallspace-time interval may lead to appearance of a world chain, having a shape ofa helix with timelike axis. Links of the chain are spacelike straight segments.Such a world chain describes a spatial evolution of a particle. In other words,the helical world chain describes the particle rotation with superluminalvelocity. The helical world chain associated with the classical Dirac particle,whose world line is a helix. Length of world chain link cannot be arbitrary. Itis determined by the space-time geometry and, in particular, by the elementarylength. There exists some discrimination mechanism, which can discriminate someworld chains.

Geometrical dynamics: spin as a result of rotation with superluminal speed