• DocumentCode
    3268917
  • Title

    A new physics

  • Author

    Doyle, John ; Mabuchi, Hideo

  • Author_Institution
    Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA
  • Volume
    4
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    4555
  • 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.
  • Keywords
    drag reduction; interconnected systems; quantum entanglement; quantum theory; robust control; shear turbulence; teleportation; thermodynamic properties; biological networks; complex engineering; control theory; decoherence minimization; drag minimization; entanglement witnessing; interconnected system; macroscopic dissipation; man-made systems; mathematics; multiscale systems; persistent mysteries; power laws; quantum computing; quantum gates; quantum key distribution; quantum systems; reversible dynamics; robust control; scientific literature; sheared flows; teleportation; theoretical physics; thermodynamic irreversibility; turbulence; Biology computing; Control theory; Heart; Mathematics; Microscopy; Physics; Power system interconnection; Quantum computing; Quantum entanglement; Thermodynamics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1185093
  • Filename
    1185093