It would substantially reject a lot of assumptions that we normally not just take for granted, but require as part of the restrictive structure that shapes our

It would substantially reject a lot of assumptions that we normally not just take for granted, but require as part of the restrictive structure that shapes our models. In particular, time invariance is linked via Noether's Theorem to conservation of energy, and thus via Einstein's work to conservation of matter. Indeed, the modern version of time invariance, CPT symmetry, is as weak as it can be while still maintaining this connection. If CPT symmetry were to fail, then we would need to go find new mathematics and new mechanics. For this reason, we test it constantly; see [0] for an overview. [0] https://en.wikipedia.org/wiki/Modern_searches_for_Lorentz_violation https://en.wikipedia.org/wiki/Modern_searches_for_Lorentz_vi...