On the property structure of realist collapse interpretations of quantum mechanics and the so-called "counting anomaly"
Graduate studies at Western
International Studies in the Philosophy of Science 17 (1):43 – 57 (2003)
|Abstract||The aim of this article is twofold. Recently, Lewis has presented an argument, now known as the "counting anomaly", that the spontaneous localization approach to quantum mechanics, suggested by Ghirardi, Rimini, and Weber, implies that arithmetic does not apply to ordinary macroscopic objects. I will take this argument as the starting point for a discussion of the property structure of realist collapse interpretations of quantum mechanics in general. At the end of this I present a proof of the fact that the composition principle, which holds true in standard quantum mechanics, fails in all realist collapse interpretations. On the basis of this result I reconsider the counting anomaly and show that what lies at the heart of the anomaly is the failure to appreciate the peculiarities of the property structure of such interpretations. Once this flaw is uncovered, the anomaly vanishes.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Dennis Dieks (2007). Probability in Modal Interpretations of Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (2):292-310.
Jeffrey A. Barrett (1994). The Suggestive Properties of Quantum Mechanics Without the Collapse Postulate. Erkenntnis 41 (2):233 - 252.
J. Bub, R. Clifton & S. Goldstein (2000). Revised Proof of the Uniqueness Theorem for 'No Collapse' Interpretations of Quantum Mechanics. Studies in History and Philosophy of Science Part B 31 (1):95-98.
Joseph Berkovitz & Meir Hemmo (2005). Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration. [REVIEW] Foundations of Physics 35 (3):373-397.
Peter J. Lewis (2005). Interpreting Spontaneous Collapse Theories. Studies in History and Philosophy of Science Part B 36 (1):165-180.
Peter J. Lewis (2003). Four Strategies for Dealing with the Counting Anomaly in Spontaneous Collapse Theories of Quantum Mechanics. International Studies in the Philosophy of Science 17 (2):137 – 142.
Added to index2009-01-28
Total downloads17 ( #78,085 of 735,113 )
Recent downloads (6 months)1 ( #61,269 of 735,113 )
How can I increase my downloads?