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European studies in philosophy of science

Some Quantum Mechanics, Its Problems, and How Not to Think About Them

Florian J. Boge

Published Jan 1, 2018• 0 citations
Publisher
DOI
10.1007/978-3-319-95765-4_2

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The thing that strikes everyone who looks at quantum mechanics is ‘superposition of states’. For example, one can have a hydrogen atom in such a condition that the probability that it is at one energy level is 25% and the probability that it is at the next higher energy level is 75%. Now, the problem is that one should not think of this as meaning that the atom is either at the first energy level or the second but we don't know which. What then does it mean ? That is the question! That is what ‘interpretations’ of quantum mechanics are all about. I shall not review the argument to show that one cannot think of it in a classical way, that one cannot think of it as meaning that the energy level is one or the other (nor can one think of it as meaning that the hydrogen atom is at an in-between energy level). Physicists gave up that way of viewing it (which is, unfortunately, the only way of viewing it that one can ‘explain to a barmaid’, in Rutherford's phrase) long before there were more-or-less formal proofs that one cannot view it that way. Formal proofs that there are no hidden variables are not, I think, what has played a role in the thinking of physicists; what physicists are more impressed by is the fact that if one tries to think of it that way then it doesn't square with any intelligible physical picture at all.

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February 1996, “QM is a Law of Thought” By the way, did you ever read the paper Carl and I wrote titled “Quantum Information: How Much Information in a State Vector?” In it we talk at some length about this idea of “Quantum Mechanics as a Law of Thought” and other Bayesian sounding things. (We even quote Gertrude Stein?!”!) Of course, all the ideas are loose now, but one day they'll be tight. September 1996, “Silly Latin” Allow me to continue my tradition of writing you only when I need something translated!! I've decided on an epithet for myself. Either: Quantum Theory is a Law of Thought or Quantum Mechanics is a Law of Thought What do you think? (…and don't tell me I'm plagiarizing Boole!) Anyway, the problem is that I would like to have these translated as closely as possible into Latin. Do you think you're up to the task? I would appreciate it so much. I can't wait to see you in Japan; I really miss the old gang. Rüdiger's First Reply: 19 September 1996 I like “Quantum Mechanics is a Law of Thought” better, but I can't give a good reason for that.

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Quantum Mechanics and its Fundamental Issues

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The thing that strikes everyone who looks at quantum mechanics is ‘superposition of states’. For example, one can have a hydrogen atom in such a condition that the probability that it is at one energy level is 25% and the probability that it is at the next higher energy level is 75%. Now, the problem is that one should not think of this as meaning that the atom is either at the first energy level or the second but we don't know which. What then does it mean ? That is the question! That is what ‘interpretations’ of quantum mechanics are all about. I shall not review the argument to show that one cannot think of it in a classical way, that one cannot think of it as meaning that the energy level is one or the other (nor can one think of it as meaning that the hydrogen atom is at an in-between energy level). Physicists gave up that way of viewing it (which is, unfortunately, the only way of viewing it that one can ‘explain to a barmaid’, in Rutherford's phrase) long before there were more-or-less formal proofs that one cannot view it that way. Formal proofs that there are no hidden variables are not, I think, what has played a role in the thinking of physicists; what physicists are more impressed by is the fact that if one tries to think of it that way then it doesn't square with any intelligible physical picture at all.
On grounds of the analysis of algebra there has been found a substantial problem with some internal inconsistency. By effort to avoid contradictions a way of bipolar logical thinking has been forced what leads to unavoidability to accept presence of a complementary physical reality. By this proper analysis of algebra long time before appearance of the quantum mechanics problems it would have been possible to develop the way of bipolar logical thinking, so there would not have arisen any problem with so called wave-particle dualism.
February 1996, “QM is a Law of Thought” By the way, did you ever read the paper Carl and I wrote titled “Quantum Information: How Much Information in a State Vector?” In it we talk at some length about this idea of “Quantum Mechanics as a Law of Thought” and other Bayesian sounding things. (We even quote Gertrude Stein?!”!) Of course, all the ideas are loose now, but one day they'll be tight. September 1996, “Silly Latin” Allow me to continue my tradition of writing you only when I need something translated!! I've decided on an epithet for myself. Either: Quantum Theory is a Law of Thought or Quantum Mechanics is a Law of Thought What do you think? (…and don't tell me I'm plagiarizing Boole!) Anyway, the problem is that I would like to have these translated as closely as possible into Latin. Do you think you're up to the task? I would appreciate it so much. I can't wait to see you in Japan; I really miss the old gang. Rüdiger's First Reply: 19 September 1996 I like “Quantum Mechanics is a Law of Thought” better, but I can't give a good reason for that.