Extrinsic and Intrinsic Irreversibility in Probabilistic Dynamical Laws

H. ATMANSPACHERInstitut fur¨ Grenzgebiete der Psychologie und Psychohygiene,Wilhelmstr. 3a, D–79098 Freiburg, Germany,E-mail: haa@igpp.deandMax-Planck-Institut fur¨ extraterrestrische Physik,D–85740 Garching, GermanyR. C. BISHOPInstitut fur¨ Grenzgebiete der Psychologie und Psychohygiene,Wilhelmstr. 3a, D–79098 Freiburg, Germany,E-mail: rcb@igpp.deA. AMANNUniversit¨atsklinik fu¨r Anasthesie, Leopold-Franzens-Universit¨at,Anichstr. 35, A–6020 Innsbruck, AustriaE-mail: anton.amann@uibk.ac.atandInstitut fur¨ Allgemeine, Anorganische und Theoretische Chemie,Abteilung fur¨ theoretische Chemie, Leopold-Franzens-Universit¨at,Innrain 52a, A–6020 Innsbruck, Austria

[1]  Robert W. Batterman,et al.  Randomness and Probability in Dynamical Theories: On the Proposals of the Prigogine School , 1991, Philosophy of Science.

[2]  A. Böhm.  Rigged Hilbert space and mathematical description of physical systems , 1967 .

[3]  I. Prigogine,et al.  The extension of classical dynamics for unstable Hamiltonian systems , 1997 .

[4]  Hans Primas,et al.  EMERGENCE IN EXACT NATURAL SCIENCES , 1998 .

[5]  G. Temple,et al.  GENERALIZED FUNCTIONS, VOL. I , 1965 .

[6]  Ioannis Antoniou,et al.  On the inverse problem of statistical physics: from irreversible semigroups to chaotic dynamics , 1998 .

[7]  Harald Atmanspacher,et al.  Dynamical Entropy in Dynamical Systems , 1997 .

[8]  F. Trèves.  Topological vector spaces, distributions and kernels , 1967 .

[9]  M. Toda,et al.  In: Statistical physics II , 1985 .

[10]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[11]  V. Rohlin,et al.  Exact endomorphisms of a Lebesgue space , 1961 .

[12]  A. Bohm,et al.  Quantum mechanical irrebersibility , 1997 .

[13]  Abner Shimony,et al.  Potentiality, entanglement and passion-at-a-distance , 1997 .

[14]  H. Margenau.  Reality in Quantum Mechanics , 1949, Philosophia Scientiæ.

[15]  H. H. Schaefer,et al.  Topological Vector Spaces , 1967 .

[16]  James H. Fetzer,et al.  Glossary of epistemology/philosophy of science , 1993 .

[17]  B. Misra,et al.  Nonequilibrium entropy, Lyapounov variables, and ergodic properties of classical systems. , 1978, Proceedings of the National Academy of Sciences of the United States of America.

[18]  N. Cutland,et al.  On homogeneous chaos , 1991, Mathematical Proceedings of the Cambridge Philosophical Society.

[19]  N. Bohr.  II - Can Quantum-Mechanical Description of Physical Reality be Considered Complete? , 1935 .

[20]  Hans Primas,et al.  Mathematical and Philosophical Questions in the Theory of Open and Macroscopic Quantum Systems , 1990 .

[21]  Harald Atmanspacher,et al.  Ontic and epistemic descriptions of chaotic systems , 2001 .

[22]  E. A. Milne,et al.  Physics and Philosophy , 2015, The Medico-chirurgical review.

[23]  J. E. Roberts.  The Dirac Bra and Ket Formalism , 1966 .

[24]  Don Howard,et al.  Space-Time and Separability: Problems of Identity and Individuation in Fundamental Physics , 1997 .

[25]  Hans Primas,et al.  Emergence in exact natural science , 1998 .

[26]  H. Atmanspacher,et al.  C*- and W*-Algebras of Observables, Their Interpretations, and the Problem of Measurement , 1999 .

[27]  I Prigogine,et al.  From deterministic dynamics to probabilistic descriptions. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[28]  M. Chiara,et al.  Philosophy of quantum mechanics , 1982 .

[29]  I. Prigogine,et al.  Poincaré resonances and the extension of classical dynamics , 1996 .

[30]  Michael C. Mackey,et al.  Chaos, Fractals, and Noise , 1994 .

[31]  F. Sontag,et al.  Wholeness and the Implicate Order , 1983 .

[32]  Giovanni Gallavotti,et al.  Chaotic dynamics, fluctuations, nonequilibrium ensembles. , 1997, Chaos.

[33]  A. Amann.  Structure, dynamics and spectroscopy of single molecules: A challenge to quantum mechanics , 1995 .

[34]  Z. Suchanecki.  On lambda and internal time operators , 1992 .

[35]  D. Ruelle.  Gaps and new ideas in our understanding of nonequilibrium , 1999 .

[36]  Harald Atmanspacher,et al.  A fundamental link between system theory and statistical mechanics , 1987 .

[37]  R. Morrow,et al.  Foundations of Quantum Mechanics , 1968 .

[38]  W. Heisenberg,et al.  Physics and Philosophy , 1943, Nature.

[39]  Ioannis Antoniou,et al.  Intrinsic irreversibility and integrability of dynamics , 1993 .