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Qmechanic
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PT-Symmetry and the existence of a preferred reference frame

(I am new to quantum field theory and I am still learning about symmetries and gauge theories, so please forgive this question if it is naïve, the formulation is not entirely rigorous in a mathematical sense.)

Relativity requires that there is no preferred reference frame of the universe, e.g. all inertial reference frames are equally valid. However, the universe is asymmetric under parity transformations, and seems to also be asymmetric under parity/time transformations, only under parity/time/charge transformations is the universe symmetric.

Does this imply that relativity's claim of the equality of reference frames is false? PT-asymmetry must be "with respect" to some absolute reference frame? Evidently, GR and QFT are not compatible at the moment, but does the standard model propose an absolute reference frame?