Einstein, Podolsky and Rosen’s argument of incompleteness of quantum mechanics

Einstein, Podolsky and Rosen:

Quantum mechanics is not complete

According to EPR, any satisfactory physical theory must be:

(1) Correct.

(2) “Complete”.

“If, without in any way disturbing a system, we can predict with certainty (i.e., with probability equal to unity) the value of a physical quantity, then there exists an element of physical reality corresponding to this physical quantity.”

EPR’s “elements of reality”

The EPR-Bohm experiment

10012

1

1

1

21

21

YY

XX

EPR’s argument

• X2 and Y2 are both “elements of reality”.

• In QM, X2 and Y2 are incompatible observables (the knowledge of one precludes the knowledge of the other).

QM is incomplete (according to EPR).