Pythagorean metric in particle's relativistic dynamics

A new non-traditional quasi-classical description of the particle dynamics (QCDPD) is outlined. The "quasi-classical" attribute is suggested by the cl oseness-although not identity-to the description of a classical system, in the framework of classical dynamics. Founded on a suitable one-to-one mappi ng of the timelike 4-vectors of Minkowski's spacetime onto the real 4-dimen sion rector space, QCDPD is mathematically equivalent to the traditional de scription of special relativity. However, in QCDPD a new frequency fulfilli ng the same transformation law cis the frequency of an oscillator is employ ed. It turns out that the special-relativity particle is, in fact, modeled as an oscillator which is essentially classical. The associated wave is a n atural consequence of such a model.