Can you explain what you mean when you say motion through time, and shape in space? I was under the impression that the whole idea of time symmetry revolved ar

Can you explain what you mean when you say motion through time, and shape in space? I was under the impression that the whole idea of time symmetry revolved around being able to "zip/fold/traverse/map" both forwards and backwards in time. It's my understanding that such a concept would imply determinism, because time is really just a set of states, in the smallest possible interval of time. I also don't understand why the time crystal loses energy over time if it is trapped in a temporal loop. I mean obviously there's not such a thing as perpetual energy, but I would think that the energy of a certain object at a particular frame in the set of states that is time, then when it returns to that state from either direction, it should be the same. Edit: This is meant to be inquisitive, not necessarily interrogative. Thanks!