Spacetimes with closed timelike curves do not contain a temporal dimension, because time only exists if there is genuine passage of time, and there cannot be genuine passage of time in such worlds.

The view that time is unreal was also argued for by Kurt Gödel on the basis of general relativistic considerations (Gödel 1949). Gödel’s starting point is his discovery of solutions to Einstein’s Field Equations that permit the existence of closed timelike curves. Such spacetimes, he argues, do not contain a temporal dimension, since time only exists if there is genuine passage of time, and there cannot be genuine passage of time in such worlds. This in turn suggests that time does not pass, and thus does not exist, in the actual world either (for more on the argument see Savitt 1994; Dorato 2...