The SFTOE and Vortex Theory
The role of a vortex in a mechanical system is to explain and to define the centrioetal force.
However it turns out that in a structural system of vortices an anti vortex is apparent, and tis serves to define and explain the centrifugal force!
Most studies of vortices have been done on an individual vortex to characterise the vortex structure and dynamics. A few studies have looked at vorticular systems of a field of vortices and i refer to the 2 Ginzburgs, one russian and the other American for detailed information on these findings.
however, like Maxwell both have started with a uniform fractal description of a vortex structure and made some assumptions that are counterproductive, if revealing. The correct structural system of vortices is a fractal non uniform structure and in addition the Ed Lorenz constraints need to be applied. The Stokes Navier system equations are a useful theoretical model, but the inherent fractal uniformity of the structure is where the equations falter.
Combining these serious investigations with the Maxwell analysisi is not going to be easy but it is at last doable.
the creation of anti vortices is best seen in the atmospheric daa and mdels w have now built up. In these models it is clear that currents of air colliding establish am anharmonic wave system of compression and rarefaction . This depending on the environment develops into the seed for a moebius like ring vortex to develop. If this ring becomes stable it provides a centre for surrounding dynamic air currents to flow around. The vortex rin is not necessarily of a fixed scale, and therefore may be small and bubble like or huge and tornado like, The centre of this ring is always at a lower pressure than the surrounding air mass, but the wall of the ring may in fact be compressed by rotation against this higher mass.
The dynamics of these systems clearly show that vortices move by compressing air masses in front of the motion and and round the vortex. This provides a tangential reaction that moves the vortex relative to the compressed massin front, acting like a circular wall and rotating the vortex into a tighter structure, following trochoidal paths.
The air mass is not so much drawn in to the vortex as displaced by it leading to a tighter vortex structure. The vision of air currents rushing in to a vortex is factually wrong. The vortex seems to emit a structural pressure gradient which arranges the surrounding air mass into sheets of pressure reflecting the anharmonid wave dynamics of the core. These sheets spread out into the surrounding air mass as a record of the progress of the core and not as the outflow from the core. The winds at the core become extreme due to the compaction of the seed ring generating these pressure differentials, and the condensation of moisture in the air driving further compression, givimg the whole system a net increase in dynamic motion. The superfluidity of the vortex ring allows this process to turn on frictionless bearings! The whole system therefore enhances and stores energy rather than dissipating it (in energy terms), or rather the system speeds up and accelerates.
Now in the wider structure the forward displaced pressure amounts to a region of high pressure. In a system which consists of a number of low pressure vortices, this creates a high pressure vortex around which they may dynamically spiral in the counterclockwise direction. Such a system is inherently stable and can persist as long as the high pressure area lasts.
Such systems need to be described in terms of the Ed Lorenz equations and the Navier Stokes equations, and some combination of them, but the need for a fractal design is clear because otherwise an external heat, magnetic or electric source is required as a driver.
The Fractal paradigm therefore replaces the external drivers by the iterative self referential action in a fractal system. Everything becomes internal and intensive within a given boundary. Outside that boundary external and extensive descriptions and relations can be applied . This clearly requires a disjoint or discrete boundary between internal and external, and this neatly separated centripetal forces to the internal frame and centrifugal forces to the external frame described by collision dynamics, The final piece of a mechanical explanation is Maxwell's dynamical field descriptions which by analogy will model these behaviours in regional behaviours of a field. it is therefore crucial that uniform fractals are dispensed with in this area.