Quantum Mechanics: From Realism to Intuitionism

eBook (PDF), 133 Pages
(1 Ratings)
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A large contribution to the discussion of possible interpretations of quantum mechanics is given so-called impossibility proofs for hidden variable models; models that allow a realist interpretation. In this thesis some of these proofs are discussed, like von Neumann's Theorem, the Kochen-Specker Theorem and the Bell-inequalities. Some more recent developments are also investigated, like Meyer's nullification of the Kochen-Specker Theorem, the MKC-models and Conway and Kochen's Free Will Theorem. This last one is taken to suggest that the problems that arise for certain interpretations of quantum mechanics are not limited to realist interpretations only, but also affect certain instrumentalist interpretations. It is argued that one may arrive at a more satisfying interpretation of quantum mechanics if one adopts a logic that seems more compatible with the instrumentalist viewpoint namely, intuitionistic logic. The motivation for adopting this form of logic is linked to some of the... More > philosophical ideas of Bohr.< Less
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  • By James E. Spinosa
    Sep 4, 2014
    Ronnie Hermens should write an easy-to-understand version of his Master’s Thesis; it would be one of the most difficult tasks, a Herculean labor. I don’t know if “Quantum Mechanics: From Realism to Intuitionism” proves that there can be no hidden variable explanation of quantum mechanics, but it does make me think of the 12 labors of Hercules. To make this thesis easy to understand and indeed to make quantum mechanics easy to understand is a task for a modern Hercules. Which of the labors of Hercules can we map onto his thesis “Quantum Mechanics” and vice versa? We can’t easily decide. We can eliminate several: The 3rd and the 4th the capture of a wild boar and a wild stag, respectively, from the Arcadian mountains; the 9th the capture of the girdle of Hippolyta, the Amazon queen; the 10th the capture of the cattle of the monster Geryon; the 11th the capture of the Apples of Hesperides and 12th the journey to the underworld to capture Cerberus. Perhaps, if we first map his thesis onto... More > one of the implements of a Swiss Army knife, we can more easily map that implement onto the labors of Hercules. His thesis maps onto the scissors of a Swiss Army knife. Scissors are one of the most useful tools but when they are incorporated into a Swiss Army knife they become useless. Imagine trimming a child’s hair with the scissors of a Swiss Army knife. What labor of Hercules is similar? The cleaning of the stables of King Augeas in a single day is similar. Horses and stables were the most useful technologies of the ancient world, but they must be well maintained to be useful. Hercules’ method of cleaning the stables is highly questionable, i.e., turning rivers through them. If we turn a river out of its bed and onto previously dry land, a huge amount of mud will be the inevitable by product. It is the artificial time constraint that masks the implausibility of the scheme. Find my free ebooks at My book "Bell's Inequality Untwisted" is easier to understand and I show Bell's inequality is invalid.< Less
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September 29, 2011
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