The Einstein-Podolsky-Rosen Paradox and SU(2) relativity

Abstract

The EPR paradox dates back to 1935 when Einstein et al., through the use of non commuting operators, proposed that quantum mechanics was not complete in that it suggested a `spooky action at a distance.' Later in 1964 John Bell was able to express the dilemma in a simple inequality involving spin-singlet states. If the inequality were satisfied then Einstein was correct and if it were violated then it favored the quantum mechanics point of view. In what follows, we present two approaches to Bell's inequality, and then offer an interpretation from the viewpoint of quantum mechanics based on the principle that the whole is more than the sum of its parts. This is then combined with the properties of the $SU(2)$ group to give a more intuitive understanding of non-locality and spin entanglement from the perspective of the relativistic characteristics of rotations.