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Everyday analogy why hidden variables can’t explain entanglement
I tried to come up with an everyday “obvious” analogy that explains why a hidden variable theory cannot explain quantum entanglement.
Here’s the story: There are two guests and one moderator on a stage. The moderator explains to the two guests that they will be separated from one another and then be given each a red or green card. He says that they will be asked to randomly write “head” or “tail” onto the card and return it to the moderator. He also asks them to please give the same answer as the other guest if they are given the same colored cards, and uncorrelated answers if they are given differently colored cards.
Before being separated the guests are allowed to talk to each other and take notes, share all their history, but quite obviously that does not help a bit at meeting the moderator’s request. This “talking, taking notes and knowing each other’s history” are all possible “hidden variables” that the guests – or electrons – could carry with them but it does not help. Only if the guests can call each other on the cell phone they can meet the moderator’s request. And that is exactly what the “spooky action at a distance” is.
Is this analogy physically accurate?
PS: The guests can meet the moderator’s request by taking along an entangled electron/positron. When given a green card, they measure the spin in x direction; when given a red card, they measure the spin in y direction. If the measurement yields a positive spin, the answer should be “head”, if negative, “tail”.
I tried to come up with an everyday “obvious” analogy that explains why a hidden variable theory cannot explain quantum entanglement.
Here’s the story: There are two guests and one moderator on a stage. The moderator explains to the two guests that they will be separated from one another and then be given each a red or green card. He says that they will be asked to randomly write “head” or “tail” onto the card and return it to the moderator. He also asks them to please give the same answer as the other guest if they are given the same colored cards, and uncorrelated answers if they are given differently colored cards.
Before being separated the guests are allowed to talk to each other and take notes, share all their history, but quite obviously that does not help a bit at meeting the moderator’s request. This “talking, taking notes and knowing each other’s history” are all possible “hidden variables” that the guests – or electrons – could carry with them but it does not help. Only if the guests can call each other on the cell phone they can meet the moderator’s request. And that is exactly what the “spooky action at a distance” is.
Is this analogy physically accurate?
PS: The guests can meet the moderator’s request by taking along an entangled electron/positron. When given a green card, they measure the spin in x direction; when given a red card, they measure the spin in y direction. If the measurement yields a positive spin, the answer should be “head”, if negative, “tail”.
