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 which predicts the observed self-organized criticality as a natural consequence of quantumlike mechanical laws governing turbulent atmospheric flow dynamics. The theoretical model predictions are applicable to dynamical systems of all space-time scales and are 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. Wave-particle duality is attributed to the bimodal (formation and dissipation) form for phenomenological manifestation of energy in the bidirectional energy flow intrinsic to eddy circulations, such as the formation and dissipation respectively of clouds in updrafts and downdrafts of eddy circulations. 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 fundamental constants of subatomic dynamics, such as the fine structure constant and the ratio of proton mass to electron mass are functions of the golden mean and apply to macro-scale dynamical systems also. 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). It is also shown that the relative motion concepts of Einstein's special and general theories of relativity are applicable to eddy circulations originating from a constant primary perturbation.