Time loops are possible in a universe with closed timelike curves from "summary" of Time Travel in Einstein's Universe by J. Richard Gott
In a universe with closed timelike curves, time loops can occur. These closed timelike curves are paths in spacetime that loop back on themselves, allowing for the possibility of time travel. This concept is based on the idea that spacetime is not confined to a linear progression from past to future, but rather can bend and twist in such a way that time loops become a plausible phenomenon. One way to visualize closed timelike curves is to imagine a path through spacetime that forms a closed loop, allowing an object or person to travel back to a previous point in time. This type of trajectory would require the curvature of spacetime to be so extreme that it loops back on itself, creating a closed timelike curve. The existence of closed timelike curves raises intriguing questions about causality and the nature of time itself. If time loops are possible, does this mean that events can be changed by traveling back in time and altering the course of history? Or are time loops predetermined, with events unfolding in a fixed sequence regardless of time travel? These questions have perplexed physicists and philosophers for decades, as the concept of time loops challenges our fundamental understanding of the nature of time and reality. The idea that closed timelike curves could exist in our universe opens up a host of possibilities for exploring the mysteries of time travel and the nature of causality. While the concept of time loops in a universe with closed timelike curves may seem far-fetched, it is a fascinating idea that pushes the boundaries of our current understanding of the cosmos. By contemplating the implications of such a concept, we can gain deeper insights into the nature of time and the fabric of the universe itself.
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