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Dear Justo,
The publication in Physical Review A of Robert B. Griffiths rather than your question is silly. The publication in the respectable physics journal of the article whose author does not
understanding what he is writing is another evidence of the crisis of physics. Daniel Kulp, Editorial Director of American Physical Society, forbade the publication of my manuscript "Only
the critics understood quantum mechanics" not only in Physical Review A but also in any APS journal.
Now I understand why. They publish the article whose author does not understand that neither Hilbert-space nor any mathematics have anything to do with the nonlocality predicted
by quantum mechanics. The nonlocality and the contradiction with realism are deduced logically from the Dirac jump, which postulates instantaneous and nonlocal change of the quantum
system state under the influence of the mind of the observer. This miracle, like any miracle, cannot be described by any mathematics. No miracle has to have a place in scientific theory.
But if the Dirac jump is removed from the theory, then quantum mechanics will not predict non-locality and violation of Bell's inequalities.
It must be obvious from Bell's article about Bertlmann’s socks [1] which Richard doesn't want to understand. Richard does not want to understand why in Bell's inequality deduced by
Bell in [1] the probability of the first measurement equal 1/2 for any direction, whereas the probability of the second measurement, (sin 22.5)^2, (sin 22.5)^2, (sin 45)^2, depends on the
angle between the directions of the first and second measurements of spin projections. Richard claims that “Whatever Bob measures, and whatever result Bob sees, Alice’s 'marginal'
probabilities of her outcomes are the same”. This claim is correct only if Alice measures before Bob. But this claim is wrong if Alice measures after Bob. I think Richard rather than “you
haven’t understood a word of what Bell was saying”.
Your question is right in the main. But I'm surprised you don't think it's absurd that “Alice's measurement has effect on the real state of affairs of Bob's particle”. This ’spooky action
at a distant’ was claimed by Bohr in his response the EPR for which Bell rightly called him the obscurantist. Bohr was the obscurantist since quantum mechanics postulates ’spooky action
at a distant’ because of observation rather than measurement. The experiment you propose may be interesting. But you have suggested one of the methods of superluminal signaling.
Richard believes in the “no signalling” theorem which is obviously wrong. Quantum mechanics predicts many methods of superluminal signaling due to the postulate about instantaneous and
nonlocal influence of the mind of the observer on quantum system.
[1] J.S. Bell, Bertlmann’s socks and the nature of reality, Journal de Physique 42, 41 (1981).With best wishes,
Alexey
To view this discussion on the web visit https://groups.google.com/d/msgid/Bell_quantum_foundations/B4413712-AB14-46B3-99E4-2EBE1A1F9BA1%40gmail.com.
The publication in Physical Review A of Robert B. Griffiths rather than your question is silly. The publication in the respectable physics journal of the article whose author does not
understanding what he is writing is another evidence of the crisis of physics.
Daniel Kulp, Editorial Director of American Physical Society, forbade the publication of my manuscript "Only
the critics understood quantum mechanics" not only in Physical Review A but also in any APS journal. Now I understand why. They publish the article whose author does not understand that neither Hilbert-space nor any mathematics have anything to do with the nonlocality predicted
by quantum mechanics. The nonlocality and the contradiction with realism are deduced logically from the Dirac jump, which postulates instantaneous and nonlocal change of the quantum
system state under the influence of the mind of the observer. This miracle, like any miracle, cannot be described by any mathematics.
It must be obvious from Bell's article about Bertlmann’s socks [1] which Richard doesn't want to understand. Richard does not want to understand why in Bell's inequality deduced by
Bell in [1] the probability of the first measurement equal 1/2 for any direction, whereas the probability of the second measurement, (sin 22.5)^2, (sin 22.5)^2, (sin 45)^2, depends on the
angle between the directions of the first and second measurements of spin projections. Richard claims that “Whatever Bob measures, and whatever result Bob sees, Alice’s 'marginal'
probabilities of her outcomes are the same”. This claim is correct only if Alice measures before Bob. But this claim is wrong if Alice measures after Bob. I think Richard rather than “you
haven’t understood a word of what Bell was saying”.
Richard believes in the “no signalling” theorem which is obviously wrong. Quantum mechanics predicts many methods of superluminal signaling due to the postulate about instantaneous and
nonlocal influence of the mind of the observer on quantum system.
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Marginal: If (X,Y) is a pair of random variables defined on a single probability space, then they have a joint or simultaneous probability distribution. The joint distribution can be decomposed into the marginal distribution of X (which is uniquely defined) and a family of conditional distributions of Y given X=x. The decomposition is almost surely unique (I.e. any two decompositions will only differ on a set of x with probability zero).This is Probability 101 or perhaps also Statustics 101. I find it hard to understand why people who are interested in Bell’s theorem seem to know so little basis concepts from probability and statistics. A. Fine already noted in the early 80s how the physicist’s debate on Bell’s theorem was notable for the naïevety of understanding of elementary notions of statistics, compared to the generally sophisticated knowledge of, e.g., econometricians or psychometricians.
Dear Justo, I advise you to read carefully “Appendix 1 - The position of Bohr” of the Bell article [1]. Bell clearly points out that Bohr in his response to the EPR rejected just the premise - 'no action at
a distance' - rather than the EPR arguments. Bohr was so vague that only Bell and a few others understood that Bohr claimed ’spooky action at a distant’, while “most contemporary
theorists have the impression that Bohr got the better of Einstein in the argument and are under the impression that they themselves share Bohr's views” [1]. Bohr claimed ’spooky action at a distant’ because without this absurd it is logically impossible to save his quantum postulate, the principle of complementarity and the principle of
uncertainty: if a measuring device cannot instantly act at any distance, then by accurately measuring the momentum of one particle and the coordinate of the second, we refute the
uncertainty principle. The EPR proved just that. If “Bohr explicitly rejected spooky action at a distance” then he was agreed with the EPR who disproved the basis of quantum mechanics. Bell's inequalities are unthinkable without quantum mechanics, if only because the binary outcomes of vector projections are considered. Vector projections can have binary
outcomes only according to quantum mechanics, read please the beginning of [1]. The experimental verification Bell's inequalities could be unthinkable without the Stern-Gerlach
experiment with its paradoxical binary outcomes, which quantum mechanics cannot describe realistically, see [1]. Therefore Bell's inequalities and its experimental verification cannot be
interpreted without reference to quantum mechanics. J. von Neumann understood that the quantum description of the Stern-Gerlach experiment contradicts realism and proposed as far back as 1932 the first ‘no-go’ theorem proving the
impossibility of any realistic description of this experiment. The Stern-Gerlach experiment could be considered as the failure of realism if realism could be disproved with the help of any
experimental results. Most modern authors do not understand that Bell's ‘no-go’ theorem differs from von Neumann's ‘no-go’ theorem only by the requirement of locality, without which it is
impossible to separate the action of the the mind of the observer (which is unreal and non-local) from the action of a soulless measuring apparatus (which is real and must be local). The
the meaningless term "local realism" could appear and become popular only because of this ignorance.
[1] J.S. Bell, Bertlmann’s socks and the nature of reality, Journal de Physique 42, 41 (1981).With best wishes,
Alexey
To view this discussion on the web visit https://groups.google.com/d/msgid/Bell_quantum_foundations/1D54DFE1-1788-465F-8A73-2DD12BC59229%40gmail.com.
Dear Richard, The author of the first publication [1] in the Special Issues “Violation of Bell’s Inequalities and the Idea of a Quantum Computer”
https://www.mdpi.com/journal/entropy/special_issues/Bell_Inequalities , Frank Lad (University of Canterbury, Department of Mathematics and Statistics, Christchurch 8140, New
Zealand) is your colleague. But his attitude to Bell's inequalities is the opposite of yours. He seems genuinely outraged by them. I think his outrage is due to his lack of understanding of
the absurdity of quantum mechanics. It is possible that he, like many others, cannot even imagine that a theory accepted by the majority of the scientific community can be so absurd. Bell understood the absurdity of quantum mechanics, although perhaps not fully, and his inequalities demonstrate this absurdity. But GHSZ did not understand the absurdity of
quantum mechanics. Therefore the criticism by Frank Lad of their argument is enough valid. David Mermin expressed surprise in section III “ Von Neumann’s silly assumption” of the paper [2]: “A third of a century passed before John Bell, 1966, rediscovered the fact that von
Neumann's no-hidden-variables proof was based on an assumption that can only be described as silly - so silly, in fact, that one is led to wonder whether the proof was ever studied by either the
students or those who appealed to it”. I would like to ask David Mermin: “Whether did he read the GHSZ article [3]?” I assume he know this article since the authors [3] thank David Mermin for
some valuable suggestions. Then why didn't he notice that the deduction of the GHSZ theorem [3] contradicts to the postulate about the EPR correlation, accepted by most physicists? David Mermin wasn't the only one who didn't notice this contradiction. The authors of the book [4] have written in section 6.6 “The Greenberger-Horne-Zeilinger Theorem”: “We know
that the three operators Sx(a), Sy(b), and Sy(c) commute. (This is because each acts on a different particle. Only if Sx and Sy act on the same particle do they fail to
commute.) Thus, we can apply them to GHZ in any order”. Indeed, it is written in many textbooks that operators acting on different particles should commute. But this postulate from textbooks implies in particular what the EPR stated: the measurement of one particle cannot change the state of another particle [5]. Bohr
claimed, in contrast to the EPR [5], that the measurement of one particle can change the state of another particle [6]. Therefore most physicists, by their agreement
with Bohr [6] rather than with the EPR [5], canceled the postulate from textbooks, which has remained valid only for non-entangled states. It is obvious that quantum
mechanics cannot predict violation of Bell's inequalities if operators acting on different particles commute in all cases. The GHSZ had not taken into account this change of
quantum postulate with the acception of the EPR correlation, claimed by Bohr [6] but rejected by the EPR [5]. The GHSZ had not taken also into account that the operators of finite rotations of the coordinate axes are not applicable to the entangled states. I draw attention on this mathematical
fact in the preprint Logical proof of the absurdity of the EPR correlation available on ResearchGate https://www.researchgate.net/profile/Alexey_Nikulov/research and tried to explaine it
Justo and Jan-Ake Larsson. But they didn't want to understand. There is important to accentuate that the operators of finite rotations of the coordinate axes are deduced on the base of our notion that spin states exist in the real isotropic space, see
section 8 “Spin” of [7]. These operators can be applied to any number of particles when their states are non-entangled and can be written as the product of the individual states. Therefore
we can think that the non-entangled spin states exist in the real isotropic space. But we cannot even think that the entangled spin states exist in the real isotropic space. Therefore
the expression for the EPR pair can describe only knowledge of the observer about result of the first measurement whereas the GHSZ state does not describe even
knowledge. The GHSZ, like many other authors, have forgotten that quantum mechanics describes only the results of observations rather than reality. [1] Frank Lad, The GHSZ Argument: A Gedankenexperiment Requiring More Denken. Entropy, 22 (7), 759 (2020), see https://www.mdpi.com/1099-4300/22/7/759 .
[2] N.D. Mermin, Hidden variables and the two theorems of John Bell. Rev. Mod. Phys. 65, 803-815 (1993).
[3] D.M. Greenberger, M.A. Horne, A. Shimony, A. Zeilinger, Bell’s Theorem without inequalities. Am. J. Phys. 58, 1131–1143 (1990). [4] G. Greenstein and A. Zajonc, The Quantum Challenge. Modern Research on the Foundations of Quantum Mechanics. 2nd edn. Jones and Bartlett, Sudbury 2006.
[5] A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777-780 (1935).
[6] N. Bohr, Can Quantum-Mechanical Description of Physical Reality be Considered Complete? Phys. Rev. 48, 696 (1935).
[7] L. D. Landau, E. M. Lifshitz, Quantum Mechanics: NonRelativistic Theory (Volume 3, Third Edition, Elsevier Science, Oxford, 1977).
With best wishes,
Alexey
To view this discussion on the web visit https://groups.google.com/d/msgid/Bell_quantum_foundations/CAKAF9vUn35MxPWZDr7_Up6etaO-DGQW6YRKsTfcazXKFT%2BdJtQ%40mail.gmail.com.
On 15 Jul 2020, at 12:40, Алексей Никулов <nikulo...@gmail.com> wrote:
Dear Richard, Although you turned down my suggestion to be co-editor, the Special Issue “Violation of Bell’s Inequalities and the Idea of a Quantum Computer” appeared thanks to you. I proposed this
Special Issue for Entropy due to the discussions in the Google Group "Bell inequalities and quantum foundations" that you invited me to over a year ago. I draw your attention that the article by Frank Lad [1] published in the Special Issue is about the GHSZ theorem rather than Bell's inequalities.
[1] Frank Lad, The GHSZ Argument: A Gedankenexperiment Requiring More Denken. Entropy, 22 (7), 759 (2020), see https://www.mdpi.com/1099-4300/22/7/759 .With best wishes,
Alexey
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