A normal crystal has a repeating molecular structure. The pattern that it’s made of repeats over and over through the space that the object occupies.
A time crystal has a repeating structure through time. This basically means that it’s structure is flip-flopping between two or more states.
Yes, time crystals are real, some scientists managed to make one a few years ago. It was a tiny piece of “indium gallium arsenide doped with silicon” that they shot with a laser and the arrangement of the atoms went back and forth between a few states for a little less than an hour before stopping.
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