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It was Nick Bostrom who coined the "simulation hypothesis" but the concept of a simulated universe touches upon many related ideas: from Descartes' "evil genius" to Edgar Allan Poe's "Dream within a dream". Use this tag when manifest reality is contingent on the machination of a more "real" domain.

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Are we living in a simulation? The evidence

To focus on the title of the question, there is rather little active research being done around this question, but I'll share what I know. First is a paper from 2012, Constraints on the Universe as a …
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