BREAKING: New Phase of Matter

So a "time crystal" is, well, just an oscillator:
The flipping random bits back and forth between states is what one expects to happen even in a common quartz crystal structure when acting as a tuning fork...
The surface imperfections may expand and contract back and forth in harmonics and yet will end up in relatively the same state on each cycle.
Relatively is due to the macro scale and the differing energy states on each cycle pulsing the crystal, whereas on a single atom scale, the states are closely coupled to their locals.
That is, if both are put into their steady state (at rest) then they will return to that steady state.
That's why this "quantum time crystal" doesn't break the laws of thermal dynamics. Otherwise the typical 32.768Khz crystal that helps keep track of relative time (relative to our path around the sun) would be impossible.
Thus I logically conclude that this is not a time crystal in the context of "4th dimension" but merely a quantum oscillator that flips the q-bits in inversion according to the wave phase angle it's riding, just like normal macro scale oscillators.