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Bell’s theorem refuted and ’t Hooft’s superdeterminism rejected as we factor quantum entanglements in full accord with commonsense local realism

Gordon Watson

Published Jun 1, 2014• 0 citations
OpenAlex

Abstract

Commonsense local realism (CLR) is the fusion of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). Advancing our case for a wholly CLR-based quantum mechanics, we use undergraduate maths and logic to factor the quantum entanglements in EPRB and Aspect (2002). Such factors (one factor relating to beables in Alice's domain, the other to beables in Bob's), refute Bell's theorem and eliminate the need for ‘t Hooft's superdeterminism. An obvious unifying algorithm (based on spin-s particles in a single thought-experiment) is foreshadowed and left as an exercise. That is, to emphasise the physical significance of our results, we here factor EPRB and Aspect (2002) separately and in detail.

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With Bell (1964) and his EPR-based mathematics contradicted by experiments, at least one step in his supposedly commonsense theorem must be false. Defining commonsense local realism as the fusion of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively), we eliminate all such contradictions and make EPR correlations intelligible by completing the quantum mechanical account in a classical way. Thus refuting the famous inequality at the heart of Bell's mathematics, we show that Bell's theorem is limited by Bell's use of naive realism. Validating the classical mantra that correlated tests on correlated things produce correlated results without mystery, we conclude that Bell's theorem and related experiments negate naive realism, not commonsense local realism.

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An open letter to Bellians and the Annals of Physics' Editors re -- it's a proven scientific fact: a violation of local realism has been demonstrated theoretically and experimentally -- after AoP (2016:67). EPR (1935) famously argue that additional variables will bring locality and causality to QM's completion; we show that they are right. Even more famously, Bell (1964) cried ‘impossible' against such variables; we give the shortest possible refutation of his claims. With EPR-based variables (and without QM), an old thought-experiment delivers a commonsensical locally-causal account of EPRB and GHZ in 3-space. We then name the flaw in Bell's theorem – Bell's error -- Bell's 1964:(14a) ≠ Bell's 1964:(14b) under EPRB. Thus, given Bell's (1988:88) gloss on a snippet of von Neumann's work, ‘There's nothing to Bell's theorem -- nor variants like CHSH (1969), Mermin (1990), Peres (1995) -- it's not just flawed, it's silly; not merely false but foolish.' In short, we show that the whole Bellian canon -- with its no-name brand of local realism -- is all of those, and misleading too. Under EPR, mixing common-sense with undergrad math/physics in the classical way so favored by Einstein, we interpret QM locally and realistically. We thus define a new brand of local realism -- CLR, commonsense local realism -- the union of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). Long may EPR rule OK we say.

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•Jun 1, 2017•0 citations
Commonsense local realism (CLR) is the fusion of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). Advancing our case for a wholly CLR-based quantum mechanics, we use undergraduate maths and logic to factor the quantum entanglements in EPRB and Aspect (2002). Such factors (one factor relating to beables in Alice's domain, the other to beables in Bob's), refute Bell's theorem and eliminate the need for ‘t Hooft's superdeterminism. An obvious unifying algorithm (based on spin-s particles in a single thought-experiment) is foreshadowed and left as an exercise. That is, to emphasise the physical significance of our results, we here factor EPRB and Aspect (2002) separately and in detail.
With Bell (1964) and his EPR-based mathematics contradicted by experiments, at least one step in his supposedly commonsense theorem must be false. Defining commonsense local realism as the fusion of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively), we eliminate all such contradictions and make EPR correlations intelligible by completing the quantum mechanical account in a classical way. Thus refuting the famous inequality at the heart of Bell's mathematics, we show that Bell's theorem is limited by Bell's use of naive realism. Validating the classical mantra that correlated tests on correlated things produce correlated results without mystery, we conclude that Bell's theorem and related experiments negate naive realism, not commonsense local realism.
An open letter to Bellians and the Annals of Physics' Editors re -- it's a proven scientific fact: a violation of local realism has been demonstrated theoretically and experimentally -- after AoP (2016:67). EPR (1935) famously argue that additional variables will bring locality and causality to QM's completion; we show that they are right. Even more famously, Bell (1964) cried ‘impossible' against such variables; we give the shortest possible refutation of his claims. With EPR-based variables (and without QM), an old thought-experiment delivers a commonsensical locally-causal account of EPRB and GHZ in 3-space. We then name the flaw in Bell's theorem – Bell's error -- Bell's 1964:(14a) ≠ Bell's 1964:(14b) under EPRB. Thus, given Bell's (1988:88) gloss on a snippet of von Neumann's work, ‘There's nothing to Bell's theorem -- nor variants like CHSH (1969), Mermin (1990), Peres (1995) -- it's not just flawed, it's silly; not merely false but foolish.' In short, we show that the whole Bellian canon -- with its no-name brand of local realism -- is all of those, and misleading too. Under EPR, mixing common-sense with undergrad math/physics in the classical way so favored by Einstein, we interpret QM locally and realistically. We thus define a new brand of local realism -- CLR, commonsense local realism -- the union of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). Long may EPR rule OK we say.
This open letter challenges Annals of Physics' Editors and Bell's supporters on this front: in the context of Bell's theorem -- after AoP (2016:67) -- ‘it's a proven scientific fact that a violation of local realism has been demonstrated theoretically and experimentally.' We show that such claims under the Bellian canon are curtailed by its foundation on a naive realism that is known to be false; ie, under Bohr's old insight (in our terms), a test may disturb the tested system. Further: (i) We define a general all-embracing local realism -- CLR, commonsense local realism -- the union of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). (ii) Under CLR, with EPR-based variables (and without QM), a thought-experiment delivers a local-realistic account of EPRB and GHZ in 3-space. (iii) Under EPR, mixing common-sense with undergrad math/physics in the classical way so favored by Einstein, we interpret QM locally and realistically. (iv) We find the flaw in Bell's theorem: Bell's 1964:(14a) ≠ Bell's 1964:(14b) under EPRB. (v) EPR (1935) famously argue that additional variables will bring locality and causality to QM's completion; we show that they are right. (vi) Even more famously, Bell (1964) cried ‘impossible' against such variables; we give the shortest possible refutation of his claim. (vii) Using Bell's (1988:88) moot gloss on a fragment of von Neumann's work, we conclude: ‘There's nothing to Bell's theorem -- nor Bellian variants like CHSH (1969), Mermin (1990), Peres (1995); nor Bellian endorsements like those by Bricmont, du Sautoy, Goldstein et al., Maudlin, Norsen, Shimony -- it's not just flawed, it's silly; its assumptions nonsense; it's not merely false but foolish' and misleading. (viii) Our results accord with common-sense, QM, Einstein's principles, EPR's belief and Bell's hopes and expectations.
Rebooting Einstein's ideas about local-causality, an engineer brings local-causality to quantum theory via operators and variables in 3-space. Taking realism to be the view that external reality exists and has definite properties, his core principle is common-sense local realism (CLR): the union of local-causality (no causal influence propagates superluminally) and physical-realism (some physical properties change interactively). Endorsing Einstein-separability — system X is independent of what is done with system Y that is spatially separated from X — Bell's famous mission is advanced. That is, by means of parameters λ, a more complete specification of EPRB's physics is successful. A consequent locally-causal refutation of Bell's theorem allows EPRB correlations to be explained in a classical way, in line with Einstein's ideas, without reference to Hilbert space, quantum states, etc. Conclusion: Bell's theorem is based on a mathematical error; an error in reduction is inconsistent with Bell's opening assumptions.
Eschewing naive realism, we define true (classical/quantum) realism:= some existents (ie, some Bell-beables) may change interactively. We then show that Bell's mathematical ideas re local causality—from his 1964:(1)-(2) to his 1990a:(6.9.3)—are valid under true realism. But we refute Bell's analyses (and his ‘local realism’), as we resolve his consequent ‘action-at-a-distance’ dilemma in favor of true locality:= no influence propagates superluminally. In short: defining beables by properties and values—and allowing that locally-causal interactions may yield new beables—we predict the probabilities of such interaction outcomes via equivalence-classes that are weaker (hence more general) than the corresponding classes in EPR/Bell. In this way delivering the same results as quantum theory and experiment—using EPRB, CHSH, GHZ and 3-space—we also advance QM's reconstruction in spacetime with a new vector-product for geometric algebra. True local realism thus supports local causality, resolves Bell's dilemma, negates nonlocality, demystifies QM, rejects naive realism, eliminates the quantum/classical divide (since observables are clearly beables; being or not being, prior to an interaction, but certainly existing thereafter), etc: all at the level of undergraduate math and logic, and all contra the analyses and impossibility-claims of Bell and many others. We also show that Bayes' Law and Malus' Law hold, undiminished, under true local realism and the quantum.
Negating the classical/quantum divide in line with Bell's hidden-variable ideas, we resolve Bell's ‘action-at-a-distance' dilemma in accord with his hopes. We identify the resultant theory as clear local realism (CLR), the union of Bohr's ‘measurement' insight, Einstein locality and Bell beables. Our method follows: (i) consistent with Bohr's insight, we replace EPR's elements of physical reality with Bell's beables; (ii) we let Bell's beable λ denote a pristine particle's total angular momentum; (iii) validating Malus' Law in our quantum-compatible equivalence relations, we deliver the hopes of Bell and Einstein for a simple constructive model of EPRB; (iv) we then derive the correct results for CHSH and Mermin's version of GHZ; (v) we thus justify EPR's belief that additional variables would bring locality and causality to QM. In short, advancing Bell's ideas in line with his expectations: we amend EPR, resolve Bell's dilemma, negate nonlocality, endorse Einstein's locally-causal Lorentz-invariant worldview, demystify the classical/quantum divide, etc. CLR: clear via Bohr's insight, local via Einstein locality, realistic via Bell beables.