Volume 2, Issue 2, pages 47-66
Michail Zak [Show Biography]
Dr. Michail Zak was a Senior Research Scientist in Reasoning, Modeling, and Simulation Group at Jet Propulsion Laboratory California Institute of Technology. He has been working at JPL from 1977 to 2010 prior to his retirement. His area of expertise is nonlinear dynamics with application to advance modeling, information processing, foundation of turbulence, and physics of Life. His main achievements are: development of postinstability models in dynamics, establishment of non-Lipchitz dynamics as an extension of Newtonian dynamics to include behavior of Livings, and closure in turbulence. His recent interest is quantum computing and artificial intelligence. Dr. Zak published five monographs and over 200 scientific papers in mathematical, physical, biological and engineering journals.
There has been proven that mathematical origins of randomness in quantum and Newtonian physics are coming from the same source that is dynamical instability. However in Newtonian physics this instability is measured by positive finite Liapunov exponents averaged over infinite time period, while in quantum physics the instability is accompanied by a loss of the Lipchitz condition and represented by an infinite divergence of trajectories in a singular point. Although from a mathematical viewpoint such a difference is significant, from physical viewpoint it does not justify division of randomness into “deterministic” (chaos) and “true” (quantum physics). The common origin of randomness in Newtonian and quantum physics presents a support of the correspondence principle that is being searched by quantum chaos theory.
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