  Non-local connections, i. e. long-range space-time correlations intrinsic to
the observed subatomic dynamics of quantum systems is also exhibited by
macro-scale dynamical systems as selfsimilar fractal space-time fluctuations
and is identified as self-organized criticality. The author has developed a
general systems theory for the observed self-organized criticality applicable
to dynamical systems of all space-time scales based on the concept that spatial
integration of enclosed small-scale fluctuations results in the formation of
large eddy circulation. The eddy energy spectrum therefore represents the
statistical normal distribution according to the Central Limit Theorem. The
additive amplitudes of eddies, when squared (variance or eddy kinetic energy),
represent the statistical normal (probability) distribution, a result observed
in the subatomic dynamics of quantum systems. The model predicts Kepler's laws
of planetary motion for eddy circulation dynamics. Inverse square law of
gravitation therefore applies to the eddy continuum ranging from subatomic to
macro-scale dynamical systems, e.g. weather systems. The model is similar to a
superstring model for subatomic dynamics which unifies quantum mechanical and
classical concepts and manifestation of matter is visualised as vibrational
modes in string-like energy flow patterns. The cumulative sum of centripetal
forces in a hierarchy of vortex circulations may result in the observed inverse
square law form for gravitational attraction between inertial masses of the
eddies.
