M. Dudziak (MODIS Corporation, Moscow State University)

M. Pitkänen (University of Helsinki)

A complex system moving toward a systemic stage of chaotic behavior often returns to some near-equilibrium through a set of stabilizing processes that are themselves locally chaotic. At different systemic levels this may be perceived in meteorological phenomena (hurricanes, typhoons, and tornadoes being classic examples), certain aspects of cell division and embryonic morphogenesis, thermal inversions, and in biological populations and societies.

We concentrate on one aspect of this problem and address a formulation of hydrodynamics from the perspective of topological geometrodynamics (TGD) and a many-sheeted spacetime with characteristic p-adic length scales. We apply the TGD model as a method for understanding the question of how an apparent global and finite-bounded state of a system that is inherently also open and unbounded can operate to generate a massively parallel sequence of events without some disturbing form of nonlocality. Interaction of discrete 3-spaces through a network of “wormhole-like” connection or transfer points can provide an explanation of the convergence process by which events that are on the scale of the far-from-equilibrium system chaotic and disruptive do occur in specific spacetime locales relative to the scale of the overall system. The same multiple-space, wormhole-type transfer processes may also help to predict movement of such chaotic “release” engines once initiated until they have exhausted their supply of energy, via the excess energies of the embedding system in which they exist, and thereby introduced a new level of stabilization to that embedding system.

Hydrodynamic and also aerodynamic vortices such as are characteristic of hurricanes and typhoons are approached through a particle description involving increasingly larger p-adic length scales. Topologically condensed ‘fluids’ of smaller p-adic length scale particles fuse and the kinetic energy of the particle motion in this length scale would be dissipated as turbulent fluid motion in shorter length scales by the formation of vortices.

A mathematical approach to the problem as well as current work underway in computer simulation studies will be included within the presentation.