Abstract
This paper attempts an interpretation of Everett's relative state formulation of quantum mechanics that avoids the commitment to new metaphysical entities like ‘worlds’ or ‘minds’. Starting from Everett's quantum mechanical model of an observer, it is argued that an observer's belief to be in an eigenstate of the measurement (corresponding to the observation of a well-defined measurement outcome) is consistent with the fact that she objectively is in a superposition of such states. “Subjective states” corresponding to such beliefs are constructed. From an analysis of these subjective states and their dynamics it is argued that Everett's pure wave mechanics is subjectively consistent with von Neumann's classical formulation of quantum mechanics. It follows from the argument that the objective state of a system is in principle unobservable. Nevertheless, an adequate concept of empirical reality can be constructed.
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REFERENCES
Albert, D.: 1992, Quantum Mechanics and Experience, Harvard University Press, Cambridge, Mass.
Albert, D. and B. Loewer: 1988, ‘Interpreting the Many-Worlds Interpretation', Synthese 77, 195–213.
Albert, D. and B. Loewer: 1991, ‘The Measurement Problem: Some “Solutions”’, Synthese 86, 87–98.
Albert, D. and H. Putnam: 1995, ‘Further Adventures ofWigner's Friend', Topoi 14, 17–22.
Allison, H. E.: 1983, Kant's Transcendental Idealism, Yale University Press, New Haven.
D'Espagnat, B.: 1990, ‘Toward a Separable “Empirical Reality”?', Foundations of Physics 20, 1147–72.
Dieks, D.: 1991, ‘On Some Alleged Difficulties in the Interpretation of Quantum Mechanics', Synthese 86, 77–86.
Everett, H.: 1957, ‘“Relative State” Formulation of Quantum Mechanics', Reviews of Modern Physics 29, 454–62.
Everett, H.: 1973, ‘The Theory of the Universal Wave Function', in B. S. DeWitt and N. Graham (eds.), The Many-Worlds Interpretation of Quantum Mechanics, Princeton University Press, Princeton.
Guttmann, Y.: forthcoming, Probability without Inderminacy: The Concept of Probability in Statistical Physics.
Healey, R.: 1989, The Philosophy of Quantum Mechanics, Cambridge University Press, Cambridge.
Healey, R.: 1995, ‘“Modal” Interpretations, Decoherence and the Quantum Measurement Problem', paper given at the workshop on: Quantum Measurement: Decoherence and Modal Interpretations, University of Minnesota.
Hughes, R. I. G.: 1989, The Structure and Interpretation of Quantum Mechanics, Harvard University Press, Cambridge, Mass.
James, W.: 1981, The Principles of Psychology, Harvard University Press, Cambridge, Mass.
Kant, I.: 1929, Critique of Pure Reason, trans. N. Kemp Smith, St. Martin's Press, New York.
Kim, J.: 1984, ‘Epiphenomenal and Supervenient Causation,', Midwest Studies in Philoxophy IX, University of Minnesota Press, Minneapolis, pp. 257–70.
Lockwood, M.: 1989, Mind, Brain, and the Quantum, Blackwell, Oxford.
Lüders, G.: 1951, ‘Über die Zuständsanderung durch denMeßprozeß', Annalen der Physik 8, 323–28.
Mott, N.: 1929, ‘The Wave Mechanics of α-Ray Tracks', Proceedings of the Royal Society A126, 79–84.
Neumann, J. von: 1932, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin.
Saunders, S.: 1995, ‘Relativism', in R. Clifton (ed.), Reality and Appearance in Relativistic Quantum Mechanics, Kluwer, Dordrecht.
van Fraassen, B. C.: 1991, Quantum Mechanics: An Empiricist View, Clarendon Press, Oxford.
Zurek, W. H.: 1991, ‘Decoherence and the Transition from Quantum to Classical', Physics Today 44, 36–44. Various authors replied to this article (1993, Phys. Tod. 46, 13–15, 81–90).
Zurek, W. H.: 1993, ‘Preferred States, Predictability, Classicality, and the Environment-Induced Decoherence', Progress of Theoretical Physics 89, 281–312.
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Lehner, C. WHAT IT FEELS LIKE TO BE IN A SUPERPOSITION. AND WHY. Synthese 110, 191–216 (1997). https://doi.org/10.1023/A:1004981126055
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DOI: https://doi.org/10.1023/A:1004981126055