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The quantum cafe is used by Brain Greene in his book The Elegant Universe to illustrate the weirdness of quantum mechanics. It is also featured in the NOVA documentary with the same name based on his book.

A lot of things happen in the cafe, people and objects change in shape, objects teleport around, you order one drink but you get another. As Brain himself remarks you are never sure what you will get when you order something.

Since this is just an illustration it is not meant to be a literal description of quantum mechanics. Most of the things in the quantum cafe can be related to the Uncertainty Principle of quantum mechanics.

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Q: What happens in the quantum cafe?
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