We need to to be specific here though: they are compatible at low energies. They only become incompatible at very high energy states like those shortly after the big bang, and those we can't produce easily in particle accelerators.

Which is to say: they break under conditions very unlike the every-day universe, which is important but also indicative that they are not that broken.

The incompatibility is important though, because if there's any more card tricks we can do with physics so we can do interesting things, somewhere in that bit of incompatibility is where we must find it.

thanks for letting me know- I’m not a physicist so I knew I was probably putting my foot in my mouth somewhere.

maybe some day we’ll find the grand unifying theory of the universe.