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A new physics

Doyle, John and Mabuchi, Hideo (2003) A new physics. In: IEEE Conference on Decision and Control, 41st, (CDC 2002), Las Vegas, NV, 10-13 December 2002. Vol.4. IEEE , Piscataway, NJ, pp. 4555-4558. ISBN 0-7803-7516-5 http://resolver.caltech.edu/CaltechAUTHORS:DOYcdc02

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Abstract

This session considers the application of mathematics from control theory to several persistent mysteries at the foundations of physics where interconnected, multiscale systems issues arise. In addition to the ubiquity of power laws in natural and man-made systems, these include a new view of turbulence in highly sheared flows that results from design for drag minimization, the origin of macroscopic dissipation and thermodynamic irreversibility in microscopically reversible dynamics, the universality of quantum gates for quantum computing, decoherence minimization in quantum systems, and entanglement witnessing. The latter ones are problems at the heart of several important tasks such as quantum computing, teleportation and quantum key distribution. Much of the original motivation for a new science of complexity came from the hope that methods of theoretical physics could contribute to a theory of complex engineering and biological networks and systems. This collection of work shows that apparently exactly the opposite is true. The role that robust control methods play in this research will be the central theme of this paper, around which the other issues will be woven. The aim is not to provide a control-friendly rederivation of known results in physics, but rather to illustrate through representative examples, how exciting new results and important insight, as assessed by physicists themselves, can be obtained through the mathematics and methods that the control community has developed. Since this work is largely being published in the scientific literature, the controls community may be largely unaware of these developments.


Item Type:Book Section
Additional Information:© Copyright 2002 IEEE. Reprinted with permission.
Subject Keywords:drag reduction, interconnected systems, quantum entanglement, robust control, shear turbulence, teleportation, thermodynamic properties
Record Number:CaltechAUTHORS:DOYcdc02
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DOYcdc02
Alternative URL:http://dx.doi.org/10.1109/CDC.2002.1185093
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8685
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:05 Sep 2007
Last Modified:26 Dec 2012 09:41

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