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Time travel to the past is an alluring subject for many science fiction writers but is it really science fiction or is there a way to make it happen, possibly in the distant future? In the world of physics, time travel to the future has already been accomplished but time travel to the past seems to be a subject of controversy. Similarly, both philosophers and physicists cannot completely agree on one fundamental question about time: what is it? In this interdisciplinary project, I will explore the fundamental nature of time as a building block to help me understand time travel. I will investigate and present major arguments for the nature of time in both philosophy and physics and establish a model of time that would allow the possibility of time travel. Once a model of time has been established, I will present arguments for the possibility of time travel based on the model.