Time travel is an exciting topic that has moved from science fiction into serious physics research. This paper explores the two main ways time travel is possible: travelling to the future using the effects of speed and gravity (time dilation), and the more challenging concept of travelling to the past using shortcuts in space-time, like wormholes. We examine the famous paradoxes that arise from moving backwards in time and discuss why physicists believe a "time machine" is impossible to build. Our review confirms that while math allows for time loops, the laws of physics, especially the need for exotic matter and the Chronology Protection Conjecture, seem to prevent these loops from actually forming.
time travel, general relativity, time dilation, wormholes, paradoxes, chronology protection conjecture.
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