The present paper contributes to the description of combined vortex movements considered in previous articles (1). It develops further the reasoning behind the substitution of the old axiom of the Classical Field Theory with a new, broader and more universal axiom (2). The paper explains how a minor extension of the main axiom creates new laws and leads to surprising and significant changes in the subsequent structures and designs covered by the Field Theory. Furthermore, the whole philosophy of the new designs proves to be largely consistent with the real natural structures. The possibility of the new field structures to acquire a particular type of movement in a specific spacetime framework is demonstrated. The transverse vortex movement develops in a spacetime with constant time and it is established that the motion is with a direct wave. The longitudinal vortex movement develops in a spacetime with constant external distance and it is established that it generates tubes of transverse vortices nested one inside the other. Furthermore the motion is with a reverse wave from the inside-out in tubes of the first order and from the outside-in in tubes of the second order. There is also a third spacetime with constant speed. It is proved that the Theory of Relativity applies only to one of three spacetimes- to the spacetime with constant time.