The Pasteur Racemic Mixture: Entanglement Interpreted as the Optical Isomerism

We describe entanglement as a racemic mixture that has an equal amount (50 : 50) of left- and right-handed enantiomers. Louis Pasteur separated two enantiomeric isomers in 1848. Therefore, we want to introduce the Pasteur racemic sphere where all antipodes on this sphere represent the strong anticorrelation of enantiomers (anticorrelated singlet state). This strong anticorrelation is expressed via the trigonometric functions: the versine2θ = 2 sin2θ and the vercosine2θ = 2 cos2θ for the central angle 2θ in the unit circle with R = 1. These trigonometric functions describe the active surface of the spherical caps of both enantiomers during their reactions in the polarizing beamsplitters. The experimentalist will get correlation probabilities P++, P--, P+-, and P-+ for individual settings and the correlation coefficient E = - cos(2θ). The “colors” of enantiomers are depicted in the primary and secondary (complementary) colors inspired by the quantum chromodynamics school. The individual enantiomers are “white” and the formed pair of anticorrelated enantiomers is “white” as well. The individual polarizers change the original “color” of enantiomers. The resulting “color” of enantiomers can be expressed via the both trigonometric functions. This mathematical description is identical with quantum mechanics predictions. These “color” enantiomers represent the “local hidden variables” and explain the independent and immediate reactions with both polarizers. This proposal could reopen the door to the Einstein´s intuition expressed in the EPR paradox. Based on the old French school and their polarization studies, we can modify the correlation coefficients by optical active molecules in one path and optical inactive molecules in the other path. With the knowledge of the specific rotation of used optical active molecules we can prepare “tailor-made” correlation coefficients.

Keywords: Enantiomers, EPR Paradox, Local Hidden Variables, Optical Isomerism.