Would the universe rotate plane polarized light?

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Spirochete
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I posted this in cosmology too, but I felt it deserved to be here also.

I recently learned something about chemical reactions: A reaction between two achiral molecules will always yield either a symmetrical product or a racemic mixture/s. A reaction involving chiral molecules may yield any possible product. Thus symmetry is always preserved, but asymmetry may yield symmetry.

Given billions of years of chemical reactions, regardless of what molecules we started with it would seem that we are proceding toward symmetry. Does this mean that the universe must be composed entirely, or virtually entirely, of some combination of achiral molecules and racemic mixtures?
 
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