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Their findings, published in the Journal of Holography Applications in Physics, go beyond simply suggesting that we’re not living in a simulated world like The Matrix. They prove something far more profound: the universe is built on a type of understanding that exists beyond the reach of any algorithm.



Depends on what is being observed or tested. For example, if end-stage heat death is the experiment, a complete indexing of all possible heat sources would require more or less a complete simulation.
Sure, but that’s not what ‘complete’ means in the context of gödel’s incompleteness theorems. It means ‘being able to prove all true statements’.
And I really don’t see why that matters - for example an NES emulator doesn’t know what a Mario is, or what a jump is, but it’s still true that when certain games are running, most of the time pressing one of the buttons on the controller makes Mario jump.