What Is Bell's Theorem and Why Does It Matter?

In summary, Bell's theorem is a concept that uses linear algebra and operators to understand the behavior of particles, specifically spin-1/2 particles and photons. It has potential implications for our understanding of quantum mechanics. Further reading and explanations can be found on the forum member @DrChinese's homepage.
  • #1
golya
4
3
TL;DR Summary
How can you explain it to someone with limited knowledge?
Hi everyone,

I need some help getting the gist of Bell’s theorem and his notion of inequalities.
How would you explain it to someone with limited knowledge of mathematics?
What are the potential implications?
 
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  • #2
Can you post links to your reading so far? What explicit questions do you have about that reading?
 
  • #3
There's a minimum of mathematics you need to understand this, but it's not too difficult mathematics. You just need some linear algebra in the 2D complex unitary space of spin-1/2 (or helicity ##\pm 1## for photons) and a bit of operators representing spin components (polarization states of photons). A very clear no-nonsense treatment can be found in

S. Weinberg, Lectures on quantum mechanics.
 
  • #4
golya said:
TL;DR Summary: How can you explain it to someone with limited knowledge?

Hi everyone,

I need some help getting the gist of Bell’s theorem and his notion of inequalities.
How would you explain it to someone with limited knowledge of mathematics?
What are the potential implications?
On the homepage of the forum member @DrChinese you certainly will find the essentials: https://www.drchinese.com/Bells_Theorem.htm
 
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