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Speakable and Unspeakable in Quantum Mechanics
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- ISBN-100521368693
- ISBN-13978-0521368698
- PublisherCambridge University Press
- Publication dateJuly 29, 1988
- LanguageEnglish
- Dimensions6 x 0.5 x 9 inches
- Print length224 pages
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Product details
- Publisher : Cambridge University Press (July 29, 1988)
- Language : English
- Paperback : 224 pages
- ISBN-10 : 0521368693
- ISBN-13 : 978-0521368698
- Item Weight : 10.6 ounces
- Dimensions : 6 x 0.5 x 9 inches
- Best Sellers Rank: #1,365,229 in Books (See Top 100 in Books)
- #1,115 in Physics (Books)
- #1,250 in Quantum Theory (Books)
- Customer Reviews:
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it is apparent that the topic is unnecessarily clothed in an air of mystery and linguistic mumbo-jumbo.
For the most part, John S. Bell attempts to dispel the mystery. I do find some views less than compelling.
(1) Before I get to the quantum mechanical essays, I have a major quibble with one paper: How to Teach Special Relativity. This paper, from 1976, is perhaps the worst way to teach special relativity. I read this essay in 1987, re-read it, then read it again (2022). Between readings I studied Arthur Miller's book "Albert Einstein's Special Theory of Relativity, Emergence and Early Interpretation." I urge students to get Miller's book and then study this 13-page essay by John Bell. Bell reminds us that his approach is aligned with "the approach of Lorentz." (page 77). Unfortunately, Bell's essay is a mess and is poorly written. I urge the reader to seek out Ellis, Flat and Curved Space-Times (see page 104, Tied Rockets).
(2) A favorite essay is "Quantum Mechanics for Cosmologists." (#15, pages 117-138). I had read that essay many years prior, in a volume entitled Quantum Gravity 2, An Oxford Symposium (1981). That steered me to two other publications which remain dear to my mind: Mott's 1929 paper on "wave-mechanics of alpha-particle tracks" and Heisenberg's Physical Principles of Quantum Theory (1930). Bell refers to Mott (page 119). Mott's paper is crystal clear. Heisenberg's book is still relevant and lucid.
(3) Bell seems to prefer the so-called Pilot-Wave interpretation. Read: "simple and natural suggestion...the wave-function is not a complete description of reality, but must be supplemented by other variables." (page 97). What is natural or simple ? Read: "Why is the Pilot-Wave picture ignored in textbooks" (page 160). Read: "The De Broglie Bohm pilot-wave picture is quite deterministic." (page 192). I am at a loss as to why anyone would prefer this interpretation over the standard Copenhagen interpretation. Now, there comes a recent paper claiming: "I argue that Bohmian mechanics (or any similar pilot-wave theory) cannot reasonably be claimed to be a deterministic theory." (Landsman, Foundations of Physics, July 2022).
(4) "In any case it seems that the quantum mechanical description will be superseded." (page 27).
John S. Bell wrote that in 1966. As of 2022: quantum mechanical description has not been superseded.
(5) Concluding: you find in this volume a plethora of fascinating insights into the thought processes of John S. Bell regards foundations of quantum mechanics. I recommend as collateral study a book entitled "The Quantum Challenge" (1997, Greenstein and Zajonc). There are many others, but that one requires few prerequisites to understand and is "intellectually honest."
Reviewed in the United States 🇺🇸 on August 25, 2022
it is apparent that the topic is unnecessarily clothed in an air of mystery and linguistic mumbo-jumbo.
For the most part, John S. Bell attempts to dispel the mystery. I do find some views less than compelling.
(1) Before I get to the quantum mechanical essays, I have a major quibble with one paper: How to Teach Special Relativity. This paper, from 1976, is perhaps the worst way to teach special relativity. I read this essay in 1987, re-read it, then read it again (2022). Between readings I studied Arthur Miller's book "Albert Einstein's Special Theory of Relativity, Emergence and Early Interpretation." I urge students to get Miller's book and then study this 13-page essay by John Bell. Bell reminds us that his approach is aligned with "the approach of Lorentz." (page 77). Unfortunately, Bell's essay is a mess and is poorly written. I urge the reader to seek out Ellis, Flat and Curved Space-Times (see page 104, Tied Rockets).
(2) A favorite essay is "Quantum Mechanics for Cosmologists." (#15, pages 117-138). I had read that essay many years prior, in a volume entitled Quantum Gravity 2, An Oxford Symposium (1981). That steered me to two other publications which remain dear to my mind: Mott's 1929 paper on "wave-mechanics of alpha-particle tracks" and Heisenberg's Physical Principles of Quantum Theory (1930). Bell refers to Mott (page 119). Mott's paper is crystal clear. Heisenberg's book is still relevant and lucid.
(3) Bell seems to prefer the so-called Pilot-Wave interpretation. Read: "simple and natural suggestion...the wave-function is not a complete description of reality, but must be supplemented by other variables." (page 97). What is natural or simple ? Read: "Why is the Pilot-Wave picture ignored in textbooks" (page 160). Read: "The De Broglie Bohm pilot-wave picture is quite deterministic." (page 192). I am at a loss as to why anyone would prefer this interpretation over the standard Copenhagen interpretation. Now, there comes a recent paper claiming: "I argue that Bohmian mechanics (or any similar pilot-wave theory) cannot reasonably be claimed to be a deterministic theory." (Landsman, Foundations of Physics, July 2022).
(4) "In any case it seems that the quantum mechanical description will be superseded." (page 27).
John S. Bell wrote that in 1966. As of 2022: quantum mechanical description has not been superseded.
(5) Concluding: you find in this volume a plethora of fascinating insights into the thought processes of John S. Bell regards foundations of quantum mechanics. I recommend as collateral study a book entitled "The Quantum Challenge" (1997, Greenstein and Zajonc). There are many others, but that one requires few prerequisites to understand and is "intellectually honest."
The reader will find good discussions of the Einstein-Podolsky-Rosen and the de Broglie-Bohm delayed-choice "thought experiments" in the book, as well as a few other interesting discussions, such as the problem of hidden variables all from a pretty much philosophical viewpoint. The author however does not hesitate to use mathematical formalism where appropriate. Some of his conclusions will depend on what philosophical "school of thought" the reader is in. For example, in his discussion on hidden variables, he refers to the work of the mathematician Andrew Gleason on the impossibility of hidden variables. However, Gleason's proof would be unacceptable to a reader from the "intuitionist" school of mathematics, since the proof is nonconstructive. The author though does give an interesting analysis of why the von Neumann proof, and others after him (due to for example Jauch, Piron, and Gleason), are of limited relevance when analyzed in depth. Hence, for those who accept non-constructivism in mathematics, the Gleason proof would still not be a refutation of the existence of hidden variables in quantum mechanics. The author analyzes the arguments of von Neumann, Jauch, Piron, and Gleason, and rejects them mostly on the grounds of their demand that dispersion-free states must have the same properties as the usual quantum-mechanical states that allow all the successful predictions of quantum mechanics. The dispersion-free states could still reproduce the measurable peculiarities of quantum mechanics when they are averaged over, the author concludes.
Along these same lines, the author also gives an interesting discussion of the argument of Einstein, Podolsky, and Rosen on the incompleteness of quantum mechanics. He formulates their requirement that quantum mechanics contain additional variables mathematically and then proceeds to show that it is incompatible with the statistical predictions of quantum mechanics. These extra variables or parameters must have a probability distribution, and it is then shown, for a pair of spin-1/2 particles in a singlet spin state, and moving in opposite directions, that these extra variable do not give the quantum mechanical expectation value for the singlet state. The author concludes that in a theory in which parameters are added to quantum mechanics to determine the results of individual measurements without changing the statistical predictions, there must be a mechanism in which the setting of one measuring device influences the reading of another instrument, no matter how remote. He concludes that instantaneous propagation would exist in such a theory, which violates Lorentz invariance. His proof is straightforward to follow, but he does use a classical (Kolmogorovian) expression for the expectation value of the two spin components. This has provoked some debate, and has brought about a notion of "contextual probability", which is a probability theory that follows more on the lines of the frequency approach of von Mises. Also, the notion of locality that the author employs has been seriously challenged by some researchers, who assert that the real notions of space and time have not been used by Bell in the proof.
Therefore it could be said without a doubt that this book will introduce the reader to the raging debate on locality and other issues in the "foundations" of quantum physics. Papers supporting Bell and those against his conclusions appear frequently on the preprint servers. Since this book is widely quoted in these papers, it should perhaps then be on the shelf of all those readers who really have a desire to understand the mysteries of quantum mechanics.



