Having implicit closed timelike curves seems highly irregular. In such a setup it is doubtful whether stepping “advances” time.
That explains that the math works out. T gives each state a future but unintuitive part is that future is guaranteed to be among the events. Most regular scenarios are open towards the future ie have future edges where causation can run away from the region. One would expect for each event to have a cause and an effect but the cause of the pastest event to be outside of the region and the effect of the most future event to be outside of the region.
Having CTCs probably will not extend to any “types of dynamics that actually show up in physics”
Having implicit closed timelike curves seems highly irregular. In such a setup it is doubtful whether stepping “advances” time.
That explains that the math works out. T gives each state a future but unintuitive part is that future is guaranteed to be among the events. Most regular scenarios are open towards the future ie have future edges where causation can run away from the region. One would expect for each event to have a cause and an effect but the cause of the pastest event to be outside of the region and the effect of the most future event to be outside of the region.
Having CTCs probably will not extend to any “types of dynamics that actually show up in physics”