Atmospheric flows exhibit long-range spatiotemporal correlations or non-local connections manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse powerlaw form for power spectra of temporal fluctuations. Such non-local connections are ubiquitous to dynamical systems in nature and are recently identified as signatures of self-organized criticality, a field of study belonging to the newly emerging science of nonlinear dynamics and chaos. Mary Selvam (*Can. J. Phys.* 1990: **68**, 831) has proposed a model, which identifies non-local connections in atmospheric flows as intrinsic to quantumlike mechanics governing flow dynamics. The model is based on the concept that spatial integration of enclosed small-scale fluctuations gives rise to large eddy circulations. The eddy energy spectrum therefore follows statistical normal distribution, i.e., the additive amplitudes of eddies, when squared, represent probability densities. Such a result is observed in microscopic quantum systems such as the electron or the photon. The model predictions are as follows. (1) The overall flow trajectory traces a logarithmic spiral with the quasiperiodic *Penrose* tiling for the internal structure, thereby resulting in non-local connections. (2) Wave-particle duality is attributed to bimodal (formation and dissipation respectively) phenomenological form for display of energy in the bi-directional (updrafts and downdrafts) energy flow intrinsic to eddy circulations, e.g., cloud formation and dissipation respectively in updrafts and downdrafts in atmospheric flows. (3) Atmospheric eddy circulations follow *Kepler*’s third law of planetary motion. The centrifugal forces representing inertial mass therefore follow the inverse square law analogous to *Newton*’s law of gravitation. The model therefore is equivalent to a superstring model (Kaku, New Scientist 18 Jan.1997, 32) for quantum gravity.

The model is based on the concept that spatial integration of enclosed small-scale circulations gives rise to large eddy circulations. The root mean square (r.m.s) circulation speeds *W* and *w*_{*} corresponding to radii *R* and *r* respectively of large and turbulent eddies are related by the equation (1)

(1)

In the above equation* **n _{R}* and

The constant *H* is proportional to K. E. (kinetic energy) per cycle/sec of turbulent eddy. *H* is therefore equivalent to *Planck*’s constant for microscopic quantum systems. A nested (hierarchical) continuum of progressively increasing eddy circulations are generated starting from persistent primary small-scale fluctuations.

Expressing Eq.1 in terms of the periods *T = 2**pR/W* and *t = 2**pr/w*_{*}

for a given primary dominant turbulent eddy of radius *r* and period *t*. The eddy circulations therefore follow laws analogous to *Kepler*’s third law of planetary motion. The centrifugal force *F _{R}* of large eddy obtained from Eq.1 as

for a given primary dominant turbulent eddy. The hierarchical eddy continuum generated from a given primary dominant eddy fluctuation has centrifugal forces which follow the inverse square law form analogous to *Newton*’s inverse square law for gravitation. The model concepts therefore predict quantumlike mechanical laws concomitant with inverse square law for centrifugal forces, which represent eddy inertial masses equivalent to gravitational masses.