No it doesn't. Palle Yourgrau addressed this in
A World Without Time: the Forgotten Legacy of Gödel and Einstein. See page 142:
"Wheeler, unfortunately, has conflated a temporal circle with a cycle, precisely missing the force of Gödel's conclusion..." In other words, you don't move along a worldline. It merely represents motion through space. A closed timelike curve doesn't represent Groundhog Day. Instead of living the same day over and over you live for one day only, with neither cause nor consequence. It's more like Mayfly Day.
There are two huge problems with this answer. First, it has absolutely nothing to do with thermodynamics. I know, it's a branch of physics that has applciations, so Farsight thinks that it is beneath him, but still, this answer is merely a dodge to something that Farsight is more comfortable with, the textual analysis of a book he has access to. (Perhaps access to only this passage?)
Second, it concedes the point. As the full passage points out, GR allows timelike curves. The events are always the same on these curves, yet, but they are part of the theory.
Farsight attempts to deceive us by not telling us Godel's conclusion. However, one can actually read the book, which Farsight seems to forget. Sure, it's a bad book and probably didn't sell very well, but that doesn;t mean it's not available.
Here is Godel's conclusion that Farsight wanted to hide: "that the possibility of closed, future directed,
timelike curves, i.e., time travel, proves that space-time is a space, not a time in the intuitive sense."
So Yourgrau's position is that Godel proved that GR allows "time travel". Yourgrau might be wrong in his understanding of "space" (throughout the book he seems to be equivocating between the space of mathematics and set theory and the space of place for physical objects).
Not when you understand it it doesn't. Einstein gave the equations of motion. And there is no way you can move such that everything else in the universe is back where it was such that its recent motion never happened.
Except that Godel showed that one could, as Yourgrau outlined in the book that Farsight cites over nad over again.
It's a physics discussion. People like Krash661 and PhysBang are the trolls, not people like Billy and me.
While Billy T has his problems in reasoning, he is nothing like you, Farsight. He sometimes attempts to present physics. Here you have lied and dodged any physics question put to you. I'm sure that you'll jut respond to that charge rather than to any of the textual analysis I did above.