The connexion between glossopoesis and science fiction has been long strong and fruitful. In Ted Chiang’s award-winning short-story Story of Your Life (2000) and its filmic adaption Arrival (2016) directed by Denis Villeneuve and written by Eric Heisserer, which embody the corpus of this research, the constructed fictional language called Heptapod B play an innovative and meaningful role as a metaphor for time machine. In this thesis I intend to analyse the three main topics that arise out of the issues present in the short-story and in the film. (1) I discuss on the power language exerts on thoughts, as described in the Sapir-Whorf hypothesis, while briefly accounting for what is currently known in the field, and its profound associations with Heptapod B, demonstrating how this is quintessential to the whole mechanics of the plot. The reflexions of Benjamin Lee Whorf (1944), Guy Deutscher (2010), Stockwell (2006) and Ria Cheyne (2008) shall be of paramount importance for that. (2) Then I approach how the heptapods do not perceive time in a sequential manner as humans do. This is strongly related with Fermat’s principle of least time, which among other things states that a ray of light will always find the shortest and fastest path towards a certain point, rendering inevitable that it reaches its destination. Starting from the writings of Isenberg (2016), Nussenzveig (1998) and the authors’ own elicitations I investigate the relations thereof with the aliens’ time perception. (3) All that leads to a paradox. If it is possible to look into the future, does it mean future already exists? If so, how can that be coadunate with the existence of free will? I debate the two contradictory views of causal determinism and free will, and how those two notions are present in the short-story and in its filmic adaptation. I collect and review the contributions of Aristotle as referred by Todd (1976), Schopenhauer (1839) and Friedrich Nietzsche (1895) in relation to the plot developments both in the literary text and in the film.