Algebraic Structure of Observables in Nonequilibrium Thermodynamics and Their Biological Significance

  • Koichiro Matsuno


Thermodynamics, let alone nonequilibrium thermodynamics, is unique in employing a set of variables that are claimed to stand alone by themselves without letting the process of measurement intervene. Nevertheless, thermodynamic variables such as temperature and entropy are quantities that are measurable. The present dichotomy now suggests a subtle problem of whether a quantity that is theoretically proclaimed as being measurable could actually be measurable as such and if so, in what sense. In this regard, quantum mechanics provides a useful theoretical prototype in which the role of measurement is properly examined.


Quantum State Energy Flow State Identification Measurement Dynamic Thermodynamic Variable 
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  1. Bell, J. S., 1987. Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, London).MATHGoogle Scholar
  2. Greenberger, D. M., Horne, M., and Zeilinger, A., 1989. In: Kafatos, M. (Ed.) Bell’s Theorem, Quantum Theory, and Conceptions of the Universe (Kluwer, Dordrecht) p.65.Google Scholar
  3. Matsuno, K., 1982. A theortetical construction of protobiological synthesis: from amino acids to functional protocells. Int. J. Quantum Chem. QBS-9, 181-193.Google Scholar
  4. Matsuno, K., 1989a. Nonlocality and localizability in quantum mechanics. Ann. Fond. Louis de Broglie 14, 233–241.Google Scholar
  5. Matsuno, K., 1989b. Protobiology: Physical Basis of Biology (CRC Press, Boca Raton Florida).Google Scholar
  6. Pattee, H. H., 1989. The measurement problem in artificial world models. BioSystems 23, 281–289.CrossRefGoogle Scholar
  7. Shimony, A., 1989. Conceptual foundations of quantum mechanics. In: Davis, P. (Ed.) The New Physics (Cambridge University Press, London) pp. 373–395.Google Scholar
  8. Tomita, K., 1987. Conjugate pair of representations in chaos and quantum mechanics. Found. Phys. 17, 699–711.MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Koichiro Matsuno
    • 1
  1. 1.Department of BioEngineeringNagaoka University of TechnologyNagaokaJapan

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