It is demonstrated that the Einstein-Podolsky-Rosen paradox (EPRP) can be investigated for ultrasmall space-time intervals by a reaction called "proximity correlation." One of the examples of proximity correlation analyzed in detail is the emission from a state $J=0\mathrm{}$ of two spin-1 particles, $A$ and $B$, in a relative orbital angular momentum state $L=1\mathrm{}$, $A$ and $B$ decaying subsequently into spin-0 particles. It is shown that the quantity of interest in EPRP, $C(\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}})$, the probability of particle $A$ having polarization $M_{S_A}=0\mathrm{}$ with respect to $\overrightarrow{\mathrm{a}}$, and particle $B$ having polarization $M_{S_B}=0\mathrm{}$ with respect to $\overrightarrow{\mathrm{b}}$, is predicted according to quantum mechanics as being $C(\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}})\equiv C\left(\theta \right)\propto {sin}^2\theta$. It is further shown that this relation can be tested experimentally by the decay of a $0^{-}\left(J^P\right)$ meson into two vector mesons. Experimental details are discussed.

Close

PrevNext

View figure in article