STABILITY OF ZITTERBEWEGUNG OF A RIGID PARTICLE

A version of compactification of abundant spatial dimensions is sugges ted on the assumption that all the mechanical systems execute uniforml y a Zitterbewegung which effectively reduces the number of their degre es of freedom. This is exemplified by the Zitterbewegung pattern of a rigid particle. The dynamics of the rigid particle may be taken such a s to allow a (D - 4)-dimensional Zitterbewegung but eliminating the po ssibility of a higher-dimensional Zitterbewegung which results in that the worldline of the particle turns out To be wrapped around a cylind roid with a compact (D - 4)-dimensional cross section and LF-dimension al ruling. The class of Lagrangians ensuring the stability of planar a Zitterbewegung is specified.