C p t in variants is tightly connected to laurence in variants, the invariants under boosts. And they'll be at some point, even if it's very very experimentally inaccessible, where it will break down absolutely. There are very good experimental on laurence violation from different propagation speeds of photons,. But as you said, your scale is much tinier, so that we might not be anywhere close right? I think the thing that i'm most interested in with respect to those experiments is finding a kind of dimension fluctuations in the universe.

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