DOI: 10.14704/nq.2013.11.1.649

Sleeping Beauty in Quantumland

Na'ama Hallakoun, Berry Groisman, Lev Vaidman

Abstract


The Sleeping Beauty Problem is analysed within the framework of the Many-Worlds Interpretation of Quantum Theory. The view of the Many-Worlds Interpretation as fundamentally deterministic theory with no place for objective uncertainty is advocated. The main concepts of this version of the Many-Worlds Interpretation are reviewed and it is shown how their application leads to a Thirder solution to the Sleeping Beauty Problem, and not to the Halfer solution as it was claimed by Peter Lewis.

NeuroQuantology | March 2013 | Volume 11 | Issue 1| Suppl 1 | Page 149-159

Keywords


Decision Theory; Subjective Uncertainty; Many Worlds Interpretation; Quantum Sleeping Beauty

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References


Albert D, Loewer B. Interpreting the many worlds interpretation. Synthese 1988; 77: 195-213.

Bradley DJ. Confirmation in a branching world: The Everett interpretation and Sleeping Beauty. The British Journal for the Philosophy of Science 2011; 62: 323-342.

Elga A. Self-locating belief and the Sleeping Beauty problem. Analysis 2000; 60: 143-147.

Everett H. “Relative state” formulation of quantum mechanics. Rev Mod Phys 1957; 29:454-462.

Greaves H. Understanding Deutsch's probability in a deterministic multiverse. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 2004; 35: 423-456.

Groisman B. The end of Sleeping Beauty's nightmare. The British Journal for the Philosophy of Science 2008; 59: 409-416.

Kent A. One world versus many: the inadequacy of Everettian accounts of evolution, probability, and scientific confirmation. In Saunders S, Barrett J, Kent A, editors, Many worlds?: Everett, quantum theory, and reality, chapter 10. Oxford University Press, 2010; pp. 307-354.

Lewis D. Sleeping Beauty: reply to Elga. Analysis 2001; 61: 171-76.

Lewis PJ. What is it like to be Schrödinger's cat? Analysis 2000; 60: 22-29.

Lewis PJ. Quantum Sleeping Beauty. Analysis 2007; 67: 59-65.

Lewis PJ. Reply to Papineau and Durà-Vilà. Analysis 2009; 69: 86-89.

Mensky MB. Reality in quantum mechanics, extended Everett concept, and consciousness. Optics and Spectroscopy 2007; 103: 461-467.

Papineau D, Durà-Vilà V. A thirder and an Everettian: a reply to Lewis's “quantum Sleeping Beauty”. Analysis 2009a; 69: 78-86.

Papineau D, Durà-Vilà V. Reply to Lewis: metaphysics versus epistemology. Analysis 2009b; 69: 89-91.

Peterson D. Qeauty and the books: a response to Lewis’ quantum Sleeping Beauty problem. Synthese 2011; 181: 367-374.

Saunders S. Time, quantum mechanics, and probability. Synthese 1998; 114: 373-404.

Saunders S. Chance in the Everett interpretation. In Saunders S, Barrett J, Kent A, editors, Many worlds?: Everett, quantum theory, and reality, chapter 6. Oxford University Press, 2010; pp. 181-205.

Saunders S, Wallace D. Branching and uncertainty. The British Journal for the Philosophy of Science 2008; 59: 293-305.

Tappenden P. Saunders and Wallace on Everett and Lewis. The British Journal for the Philosophy of Science 2008; 59: 307--314.

Tappenden P. Evidence and uncertainty in Everett’s multiverse. The British Journal for the Philosophy of Science 2011; 62: 99--123.

Vaidman L. On schizophrenic experiences of the neutron or why we should believe in the many-worlds interpretation of quantum theory. International Studies in the Philosophy of Science 1998; 12: 245-261.

Vaidman L. Probability and the many worlds interpretation of quantum theory. In Khrennikov A, editor, Quantum theory: Reconsideration of foundations. Section 2. Vaxjo University Press, 2001; pp. 408-412.

Vaidman L. Many-worlds interpretation of quantum mechanics. In Zalta EN, editor, The Stanford encyclopedia of philosophy. 2002; http://plato.stanford.edu/entries/qm-manyworlds.

Vaidman L. Probability in the many-worlds interpretation of quantum mechanics. In Ben-Menahem Y, Hemmo M, editors, Probability in physics. The Frontiers Collection, Springer Berlin Heidelberg, 2012; pp 299-311.

Vaidman L, Saunders S. On Sleeping Beauty controversy, 2001. Preprint, http://philsci-archive.pitt.edu/324/.

Wallace D. Epistemology quantized: circumstances in which we should come to believe in the Everett interpretation. The British Journal for the Philosophy of Science 2006; 57: 655-689.


Supporting Agencies

Sidney Sussex College, Cambridge; Israel Science Foundation, Grant No. 1125/10



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