Re: "Crystals have a rigid arrangement of atoms that break translational symmetry."
But at what dimensionality? Might seem to break symmetry from one perspective, but does it from all? That's the error in their assumptions.
As an example of where they can trip ideas up, see the failed predictions until relativity was added to the equation. Einstein showed a lot of assumed contradictions were fixed with relativity. Seems a similar problem here of assumed "breaks" in symmetry causing a contradiction in the possibility of perpetual motion/time symmetry/equivalence breaking systems.