How Was Quantum Entanglement Theoretically Predicted?

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Quantum Entanglement (QE) was theoretically predicted by Erwin Schrödinger prior to any experimental verification, although initial experiments were not free from loopholes. The theory established that QE cannot facilitate instantaneous communication. The foundational understanding of QE emerged from the Schrödinger equation and was further explored through Bell's Inequality, which arose from efforts to challenge and define the limits of Quantum Mechanics (QM), particularly highlighted in the Einstein-Podolsky-Rosen (EPR) paradox.

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San K
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Schrödinger had proved/predicted QE theoretically prior to experimental (though not loop-hole free) verification.

the theory also firmly predicted that QE could not be used to send instantaneous signals.

the theoretical understanding/prediction of QE was there prior to experimental observation (?)

Question- What knowledge/logic was used to prove/predict QE theoretically? - explain in layman's terms/language

i.e. what body of QM knowledge, rudimentary observations were known prior to bell's tests?
 
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Nothing is ever "proved" theoretically - QE was first shown to be a consequence of the Schrödinger equation as "Bell's Inequality" (iirc)... which you know. Presumably, therefore, you know the history - so your question does not make sense.

Perhaps you imagine that QE theory must have been predicated by some sort of observations? afaik this is not the case - rather it came about as a result of attempts to disprove or find limits to QM. (I think the earliest was in the EPR paradox).
 

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