Abstract
The concepts of complementarity and entanglement are considered with respect to their significance in and beyond physics. A formally generalized, weak version of quantum theory, more general than ordinary quantum theory of physical systems, is outlined and tentatively applied to two examples.
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REFERENCES
K. M. Meyer-Abich, Korrespondenz, Individualität and Komplementarität (Steiner, Wiesbaden, 1965).
D. Murdoch, Niels Bohr's Philosophy of Physics (Cambridge University Press, Cambridge, 1987).
A. Pais, Niels Bohr's Times in Physics, Philosophy, and Politics (Clarendon, Oxford, 1991).
W. Pauli, ed., Special issue on Complementarity, Dialectica 2 (1948).
N. Bohr, “On the notions of causality and complementarity,” Dialectica 2, 312–319 (1948).
M. Jammer, The Philosophy of Quantum Mechanics (Wiley, New York, 1974), Chaps. 5 and 6.
A. Einstein, B. Podolsky, and N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?,” Phys. Rev. 47, 777–780 (1935).
E. Schrödinger, “Die gegenwärtige Situation in der Quantenmechanik,” Naturwiss. 23, 807–812, 823–828, 844–849.
J. S. Bell, “On the Einstein–Podolsky–Rosen paradox,” Physics 1, 195–200 (1964).
A. Aspect, J. Dalibard, and G. Roger, “Experimental test of Bell's inequalities using timevarying analyzers,” Phys. Rev. Lett. 49, 1804–1807 (1982).
D. Tjøstheim, “A commutation relation for wide sense stationary processes.”SIAM J. Appl. Math. 30, 115–122 (1976).
K. Gustafson and B. Misra, “Canonical commutation relations of quantum mechanics and stochastic regularity,” Lett. Math. Phys. 1, 275–280 (1976).
B. Misra, “Nonequilibrium entropy, Lyapounov variables, and ergodic properties of classical systems,” Proc. Natl. Acad. Sci. USA 75, 1627–1631 (1978).
H. Atmanspacher and H. Scheingraber, “A fundamental link between system theory and statistical mechanic,” Found. Phys. 17, 939–963 (1987).
E. Scheibe, The Logical Analysis of Quantum Mechanics (Pergamon, Oxford, 1973), pp. 82–88.
H. Primas, “Mathematical and philosophical questions in the theory of open and macroscopic quantum systems,” in Sixty-Two Years of Uncertainty, A. I. Miller, ed. (Plenum, New York, 1990), pp. 233–257.
C. G. Jung, “Theoretische Überlegungen zum Wesen des Psychischen,” in Gesammelte Werke, Band 8 (Walter, Olten, 1971), footnote 129, pp. 261f; English translation: “On the nature of the psyche.” in Collected Works, Vol. 8 (Princeton University Press, Princeton, 1969), footnote 130, pp. 229f.
W. Pauli, “Naturwissenschaftliche and erkenntnistheoretische Aspekte der Ideen vom Unbewussten,” Dialectica 8, 283–301 (1954); English translation in W. Pauli, Writings on Physics and Philosophy, C. P. Enz and K. von Meyenn, eds. (Springer, Berlin, 1994).
C. G. Jung, Psychologische Typen (Rascher, Zürich, 1921); English translation: “Psychological types,” in Collected Works 6 (Princeton University Press, Princeton, 1976).
W. James, The Principles of Psychology, Vol. 1 (Dover, New York, 1950), Chap. IX.
E. Plaum, “Bohrs quantentheoretische Naturbeschreibung und die Psychologie,” Psychologie und Geschichte 3, 94–101 (1992).
P. Kruse and M. Stadler, Ambiguities in Mind and Nature (Springer, Berlin, 1995).
P. Jordan, Komplementarität und Verdrängung (Strom, Hamburg, 1947).
P. Bernays, “Über die Ausdehnung des Begriffes der Komplementarität auf die Philosophie,” Synthese 7, 66–70 (1948).
E. von Weizsäcker, “Erstmaligkeit und Bestätigung als Komponenten der pragmatischen Information,” in Offene Systeme I, E. von Weizsäcker, ed. (Klett–Cotta, Stuttgart, 1974), pp. 83–113.
K. Kornwachs and W. von Lucadou, “Pragmatic information as a nonclassical concept to describe cognitive systems,” Cognitive Systems 1, 79–94 (1985).
D. J. Chalmers, The Conscious Mind (Oxford University Press, Oxford, 1996).
C. G. Jung and W. Pauli, Naturerklärung und Psyche (Rancher, Zürich, 1952); English translation: The Interpretation of Nature and the Psyche (Pantheon, New York, 1955).
H. Atmanspacher and H. Primas, “The hidden side of Wolfgang Pauli,” J. Consc. Studies 3, 112–126 (1996).
H. Walach and H. Römer, “Complementarity is a useful concept for consciousness studies. A reminder,” Neuroendocrinology Letters 21, 221–232 (2000).
H. Atmanspacher, “Mind and matter as asymptotically disjoint, inequivalent representations with broken time-reversal symmetry,” in press.
R. Haag, Local Quantum Physics (Springer, Berlin, 1996).
C. Piron, Foundations of Quantum Physics (Benjamin, Reading, 1976).
H. Primas, Chemistry, Quantum Mechanics, and Reductionism (Springer, Berlin, 1983).
W. Thirring, Quantum Mechanics of Atoms and Molecules (Springer, Berlin, 1981).
B. Misra, I. Prigogine, and M. Courbage, “From deterministic dynamics to probabilistic descriptions,” Physica A 98, 1–26 (1979); cf. A. S. Wightman, Math. Rev. 82e, 58066 (1982).
P. Grassberger and I. Procaccia, “Estimation of the Kolmogorov entropy from a chaotic signal,” Phys. Rev. A 28, 2591–2593 (1983).
R. Shaw, ‘Strange attractors, chaotic behavior, and information flow,’ Z. Naturforsch. 36a, 80–112 (1981).
H. Atmanspacher, “Ontic and epistemic descriptions of chaotic systems,” in Computing Anticipatory Systems, D. Dubois, ed. (American Institute of Physics, New York, 2000), pp. 465–478.
B. Misra and I. Prigogine, “Irreversibility and nonlocality,” Lett. Math. Phys. 7, 421–429 (1983).
H. Atmanspacher, “Dynamical entropy in dynamical systems,” in Time, Temporality, Now, H. Atmanspacher and E. Ruhnau, eds. (Springer, Berlin, 1997), pp. 327–346.
G. Birkhoff and J. von Neumann, “The logic of quantum mechanics,” Ann. Math. 37, 823–843 (1936).
F. R. Krueger, Physik und Evolution (Parey, Berlin, 1984).
H. Atmanspacher, “A propositional lattice for the logic of temporal predictions,” in Solitons and Chaos, I. Antoniou and F. J. Lambert, eds. (Springer, Berlin, 1991), pp. 58–70.
H. Atmanspacher, “Incommensurability of Liouvillean dynamics and information dynamic,” in Parallelism, Learning, Evolution, J. D. Becker, I. Eisele, and F. W. Mündemann, eds. (Springer, Berlin, 1991), pp. 482–499.
S. Freud, Vorlesungen zur Einführung in die Psychoanalyse (Fischer, Frankfurt, 1992).
M. Varga von Kibed, “Bemerkungen über philosophische Grundlagen und methodische Voraussetzungen zur systemischen Aufstellungsarbeit,” in Praxis des Familien–Stellens, G. Weber, ed. (Auer, Heidelberg, 1998). Compare other contributions of the author in the same volume.
D. Gernert, “Towards a closed description of observation processes,” BioSystems 54, 165–180 (2000).
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Atmanspacher, H., Römer, H. & Walach, H. Weak Quantum Theory: Complementarity and Entanglement in Physics and Beyond. Foundations of Physics 32, 379–406 (2002). https://doi.org/10.1023/A:1014809312397
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DOI: https://doi.org/10.1023/A:1014809312397