Undergrad Is Nature Non-Deterministic Due to Nonlocality in Quantum Mechanics?

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SUMMARY

The forum discussion centers on the implications of nonlocality in quantum mechanics and its relationship to determinism. Participants highlight that Bohmian Mechanics serves as a viable interpretation, being both nonlocal and deterministic, yet practical limitations prevent precise predictions due to incomplete knowledge of initial conditions. The conversation emphasizes that Bell's theorem does not inherently favor determinism or non-determinism, as both could yield similar statistical outcomes. Ultimately, the consensus is that scientific conclusions must arise from experimental validation rather than majority opinion.

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  • Understanding of Bell's theorem and its implications in quantum mechanics
  • Familiarity with Bohmian Mechanics as an interpretation of quantum theory
  • Knowledge of nonlocality and its role in quantum physics
  • Basic grasp of probabilistic predictions in quantum mechanics
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  • Research the principles of Bohmian Mechanics and its deterministic nature
  • Explore experimental tests related to Bell's theorem and nonlocality
  • Investigate the philosophical implications of determinism versus non-determinism in quantum mechanics
  • Study the current debates and literature on interpretations of quantum mechanics
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Physicists, quantum mechanics researchers, and philosophy of science enthusiasts interested in the foundational questions of determinism and nonlocality in quantum theory.

msumm21
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From what I understand, the most reasonable explanation of the violation of the Bell inequalities is that nature is non local. If we accept this, is there a reasonable argument that nature is not deterministic? I.e. could it be that the probabilistic predictions from QM are just averaging -- if we knew all the non local information, all the history of all the particles that interacted with particles that interacted with particles that ... interacted with the measured particle we could precisely predict results? I realize the latter may be impractical to experimentally test, but can it be theoretically ruled out?
 
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msumm21 said:
From what I understand, the most reasonable explanation of the violation of the Bell inequalities is that nature is non local. If we accept this, is there a reasonable argument that nature is not deterministic? I.e. could it be that the probabilistic predictions from QM are just averaging -- if we knew all the non local information, all the history of all the particles that interacted with particles that interacted with particles that ... interacted with the measured particle we could precisely predict results? I realize the latter may be impractical to experimentally test, but can it be theoretically ruled out?

No, in fact there is a viable interpretation of quantum mechanics that is much as you imagine. It is call Bohmian Mechanics. It is explicitly nonlocal, and is deterministic. However, due to a lack of complete knowledge of initial conditions, it is not possible to make a deterministic prediction of quantum outcomes.
 
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msumm21 said:
is there a reasonable argument that nature is not deterministic?
(The rest of your post reads as if you have an extra negative. Did you mean "nature is deterministic"?)

The discussion is somewhat sterile unless and until we have a proposed candidate theory to evaluate... But based on what we know so far, there is no reason to exclude determinism or non-determinism.

Bell's results are somewhat of a red herring here, as the observed results could conceivably be the result of (what you're calling) statistical averaging across either a deterministic or a nondeterministic underlying theory. Bell's results tell us that that hypothetical theory must be non-local, but apply equally whether it is deterministic or not.
 
Thanks. Any idea what would win (determinism or non) if the experts in the field were to vote? Is there a majority favoring one over the other? If so, is there a good reference explaining why?
 
msumm21 said:
Any idea what would win (determinism or non) if the experts in the field were to vote?

Science is not done by majority vote. It's done by doing experiments to test theoretical predictions. Until we have a deterministic vs. a non-deterministic theory that includes our current quantum mechanics as an approximation, we have no way of testing determinism vs. non by experiment.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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