A Propositional Lattice for the Logic of Temporal Predictions

  • H. Atmanspacher
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


The concept of chaos, apart from its significance with respect to the modelling of specific complex systems and the prediction of their behavior, bears important implications for our general understanding of nature and the natural sciences. One of the central quantities characterizing chaotic systems is the dynamical entropy K. It can be interpreted as a temporal rate of internal information production of a system due to the specific dynamical laws governing its evolution. These laws can be formalized in different ways, using different types of operators acting on a phase space distribution function. Two respective operator formalisms refer to the Liouville operator L and to an information (or entropy) operator M. Both are incommensurable in the sense of a non-vanishing commutator given by K (Sec.2).


Temporal Logic Quantum Logic Liouville Operator Temporal Prediction Phase Space Distribution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • H. Atmanspacher
    • 1
  1. 1.Max Planck Institut für Extraterrestrische PhysikGarchingGermany

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