The central mystery of quantum mechanics (according to Feynman)

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SUMMARY

The forum discussion centers on Richard Feynman's remarks regarding the double slit experiment and its implications for quantum mechanics. Participants explore the distinction between classical and quantum interpretations, particularly focusing on non-commuting observables and entanglement as essential components of quantum theory. The discussion highlights the inadequacies of Feynman's argument in light of Bohmian mechanics, which offers a nonlocal explanation for quantum phenomena. Additionally, the violation of Bell's inequality is emphasized as a crucial aspect that encapsulates the mysteries of quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly the double slit experiment.
  • Familiarity with non-commuting observables and their significance in quantum theory.
  • Knowledge of Bohmian mechanics and its implications for quantum interpretations.
  • Awareness of Bell's inequality and its role in quantum entanglement discussions.
NEXT STEPS
  • Research the implications of Bohmian mechanics on quantum eraser experiments.
  • Study the Kochen-Specker theorem and its relevance to hidden variable theories.
  • Examine the differences between classical and quantum interpretations of the double slit experiment.
  • Explore the significance of entanglement in the context of Bell's inequality.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the foundational aspects of quantum theory and its interpretations.

  • #31
jk22 said:
Is that what you mean that for contextual hidden variable the sum of average could be different than the average of the sum ?

No.

It's simple.

If you have a look at Gleason you will see its watertight if the measure defined on a projection operator depends only on the operator itself and not on other operators it may be part of in a resolution of the identity. The only out is if that's not the case. It's not the case for some hidden variable theories.

I have zero idea where you are getting your other equations from, what they mean, what the terms mean, context or anything.

Please detail exact context and meaning.

They look like some equations I vaguely remember from papers on hidden variables, but you need to detail exactly what the terms mean and their derivation. A concern I have is when you say 'I suppose such and such is a contextual expression' it indicates you do not know what the terms mean. It's very hard for someone to figure out what you are driving at if that is the case.

Thanks
Bill
 
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