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Statement of Bell's Inequality


 One of the most important applications of quantum mechanics is Bell's inequality. In 1965, John Stewart Bell actually thought that Einstein might be right and tried to prove it, but proved that quantum logic violated classical logic. It was a revolutionary discovery.

Let's look at its mathematically simple explanation.

To create the analogy, let's first write a classical inequality.

 

This inequality above is a classic expression. The quantum analogy of this expression represents the Bell inequality. With just one difference. Bell's inequality shows that the above equation is violated.

Expressing Bell's inequality by skipping some complicated mathematical intermediates;

While there is no such situation in the classical world that will violate the inequality we mentioned at the beginning, it is difficult to find a situation that does not violate this inequality in the quantum world.





Reference

https://www.youtube.com/watch?v=lMyWl6Pq904

https://slideplayer.com/slide/9735183/



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