Quantum Theory for an Armchair Physicist?

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Discussion Overview

The discussion centers around finding accessible resources for understanding quantum theory, particularly Bell's Inequality, aimed at laypersons with an interest in the subject. Participants seek recommendations for books and materials that emphasize conceptual understanding with minimal mathematical complexity.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant requests suggestions for popular press treatments of quantum theory that explain Bell's Inequality without heavy mathematics.
  • Another participant recommends Amir Aczel's book, emphasizing that understanding the mathematics is crucial for grasping the resolution of the EPR paradox.
  • A participant shares a personal webpage titled "Bell's Theorem with Easy Math," explaining that local hidden variables cannot reproduce the predictions of quantum mechanics, specifically mentioning the limitations of hidden variable theories.
  • A later reply expresses appreciation for the recommendations and highlights a desire to understand the deeper implications of Relativity and Quantum Theory through Bell's work.
  • Another participant suggests a video of a talk by Sidney Coleman, noting that the GHZM experiment discussed in the talk is easier to understand than the original Bell's Theorem.

Areas of Agreement / Disagreement

Participants generally agree on the importance of understanding Bell's Theorem and its implications, but there is a divergence in opinions regarding the necessity of mathematics in grasping these concepts. Some advocate for including mathematical elements, while others prefer a more conceptual approach.

Contextual Notes

Participants express varying levels of comfort with mathematics, which may influence their recommendations and preferences for resources. The discussion does not resolve the debate on the role of mathematics in understanding quantum theory.

Who May Find This Useful

This discussion may be useful for individuals interested in quantum theory, particularly those seeking accessible explanations of complex concepts like Bell's Inequality without a strong mathematical background.

EskWIRED
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Hi.

I'm looking for a good "popular press" treatment of quantum theory for a bright and interested layman. Specifically, something that will explain to me Bell's Inequality in a manner that I can grok, with an emphasis on concepts and (if at all possible) a minimum of mathematics.

Can anybody suggest a book or three to get me going?
 
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Not sure how deep you want to go, but I can recommend Amir Aczel's book:

https://www.amazon.com/dp/0452284570/?tag=pfamazon01-20

On the other hand, I would definitely say you are cheating yourself by skipping the math. It's not that hard, and it really is necessary to properly understand why the EPR paradox is resolved against EPR's viewpoint.

Bell's Theorem with Easy Math

This is a page I put up for exactly this purpose. The upshot is that if you assume there are local hidden variables, you cannot get certain combinations of those to match observation. Specifically, at 0, 120 and 240 degrees there are no sets of hidden variables which yield the matches predicted by Quantum Mechanics of 25%. You can try all you like, the best you can do is an average of 33%. Ergo, the assumption of local hidden variables is wrong.

-DrC
 
Last edited by a moderator:
DrChinese said:
Not sure how deep you want to go, but I can recommend Amir Aczel's book:

https://www.amazon.com/dp/0452284570/?tag=pfamazon01-20

On the other hand, I would definitely say you are cheating yourself by skipping the math. It's not that hard, and it really is necessary to properly understand why the EPR paradox is resolved against EPR's viewpoint.

Bell's Theorem with Easy Math

This is a page I put up for exactly this purpose. The upshot is that if you assume there are local hidden variables, you cannot get certain combinations of those to match observation. Specifically, at 0, 120 and 240 degrees there are no sets of hidden variables which yield the matches predicted by Quantum Mechanics of 25%. You can try all you like, the best you can do is an average of 33%. Ergo, the assumption of local hidden variables is wrong.

-DrC

Thanks for the pointers and for the advice. I'll check it out.Edit: I'm struck by the following sentence near the beginning of your article: "If you want to understand the richer meaning of Relativity and Quantum Theory, you will also want to learn about Bell."

That is precisely what I want to do, and I'm happy that I stumbled upon the realization that learning more about Bell was a good path to follow. Thanks again!
 
Last edited by a moderator:
Regarding Bell's Theorem, check out this video of a talk by Sidney Coleman:

http://media.physics.harvard.edu/video/?id=SidneyColeman_QMIYF

The middle part of the talk is on the Greenberger-Horne-Zeilinger-Mermin (GHZM) experiment, which is much easier to grasp than the original Bell's Theorem.
 
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