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Superstrings, Cantorian-fractal Spacetime and Quantum-like Chaos in Atmospheric Flows

โœ Scribed by A.M Selvam; Suvarna Fadnavis


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
315 KB
Volume
10
Category
Article
ISSN
0960-0779

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โœฆ Synopsis


Atmospheric ~ows exhibit long!range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with the inverse power law form for spectra of temporal ~uctuations[ Such non!local connections are ubiquitous to dynamical systems in nature and are identi_ed as signatures of self!organized criticality[ A recently developed cell dynamical system model for atmospheric ~ows predicts the observed self!organized criticality as a natural consequence of quantum! like mechanics governing ~ow dynamics[ The model is based on the concept that spatial integration of enclosed small scale ~uctuations results in the formation of large eddy circulations[ The model predicts the following] "a# The ~ow structure consists of an overall logarithmic spiral trajectory with the quasiperiodic Penrose tiling pattern for the internal structure[ "b# Conventional power spectrum analysis will resolve such spiral trajectories as a continuum of eddies with progressive increase in phase[ "c# Increments in phase are concomitant with increases in period length and also represent the variance\ a characteristic of quantum systems identi_ed as {Berry|s phase|[ "d# The universal algorithm for self!organized criticality is expressed in terms of the universal Feigenbaum constants\ a and d\ as 1a 1 pd\ where the fractional volume inter! mittency of occurrence pd contributes to the total variance 1a 1 of fractal structures[ "e# The Feigenbaum constants are expressed as functions of the golden mean[ " f# The quantum mechanical constants {_ne structure constant| and {ratio of proton mass to electron mass|\ which are pure numbers and are obtained by experimental observations only\ are now derived in terms of the Feigenbaum constant\ a[ "g# Atmo! spheric ~ow structure follows Kepler|s third law of planetary motion[ Therefore\ Newton|s inverse square law for gravitation also applies to eddy masses[ The centripetal acceleration representing the inertial masses "of eddies# are equivalent to gravitational masses[ The fractal!Cantorian structure of spacetime can also be visualized as a nested continuum of vortex "eddy# circulations\ whose inertial masses obey Newton|s inverse square law of gravitation[ The model concept resembles a superstring model for subatomic dynamics which incorporates gravitational forces[


๐Ÿ“œ SIMILAR VOLUMES


Cantorian Fractal Spacetime, Quantum-lik
โœ A.M Selvam; Suvarna Fadnavis ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

Cantorian fractal spacetime ~uctuations characterize quantum!like chaos in atmospheric ~ows[ The macroscale atmospheric ~ow structure behaves as a uni\_ed whole quantum system\ where the super! imposition of a continuum of eddies results in the observed global weather patterns with long!range spatio