I am not convinced! Maybe the universe, as we know it, is just a huge aquarium or simulation. Our current knowledge is still far too limited to make such sweeping generalizations.
"[the authors] have shown that the fundamental nature of reality operates in a way that no computer could ever simulate.
Their findings ... 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. ..."
From the abstract:
"General relativity treats spacetime as dynamical and exhibits its breakdown at singularities.
This failure is interpreted as evidence that quantum gravity is not a theory formulated {within} spacetime; instead, it must explain the very {emergence} of spacetime from deeper quantum degrees of freedom, thereby resolving singularities. Quantum gravity is therefore envisaged as an axiomatic structure, and algorithmic calculations acting on these axioms are expected to generate spacetime.
However, Gödel’s incompleteness theorems, Tarski’s undefinability theorem, and Chaitin’s information-theoretic incompleteness establish intrinsic limits on any such algorithmic program.
Together, these results imply that a wholly algorithmic “Theory of Everything’’ is impossible: certain facets of reality will remain computationally undecidable and can be accessed only through non-algorithmic understanding.
We formalize this by constructing a “Meta-Theory of Everything’’ grounded in non-algorithmic understanding, showing how it can account for undecidable phenomena and demonstrating that the breakdown of computational descriptions of nature does not entail a breakdown of science. Because any putative simulation of the universe would itself be algorithmic, this framework also implies that the universe cannot be a simulation."
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