Time travel into the past presents several theoretical possibilities and paradoxes according to our current understanding of physics:
1) Gravitational time dilation near massive objects like black holes could allow travel into the future by experiencing slowed time.
2) Hypothetical phenomena like wormholes, cosmic strings, and Kerr black holes could warp spacetime in a way that allows travel into the past, but they have not been proven to exist.
3) The grandfather paradox illustrates that traveling back in time could create inconsistent causal loops that violate causality. Most time travel models seek to avoid such paradoxes.