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The causality loop in Shingeki no Kyojin: Is there a paradox?

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For those looking for a quick answer to the question in the title, jump here . Modern day masterpiece Attack on Titan (AOT) is undoubtedly the most consistent television show I have ever experienced. The story is set in a post-apocalyptic world where mankind is on the brink of extinction and lives confined within walls in fear of huge humanoid creatures that are referred to as titans. Because of the elements of fantasy, the world of AOT operates by its own rules which the viewers learn gradually as the show progresses. Encouraged by the consistency and the incredible attention to detail ensured by the author, I have attempted to create a self-consistent set of physical laws for the AOT universe. Needlesss to say, I will be spoiling all of Attack on Titan that has been aired until now (that is, upto the Final Season Part 2). You have been warned. There are no manga spoilers though. 1. Quantum entanglement connects all Subjects of Ymir One of the central elements of fantasy in AOT is ...