Quantized gravitational responses, the sign problem, and quantum complexity
By ESO/MPE/Marc Schartmann (http://www.eso.org/public/images/eso1151a/) [CC BY 4.0 (http://creativecommons.org/licenses/by/4.0)], via Wikimedia Commons
This discovery and result has vast implications beyond merely disproving the simulation hypothesis.
In a paper published in the journal Science Advances, Zohar Ringel and Dmitry Kovrizhi show that constructing a computer simulation of a particular quantum phenomenon that occurs in metals is impossible – not just practically, but in principle.
If it is indeed impossible to simulate a particular quantum phenomenon that occurs in physical reality then what does this mean for "digital physics" in general? The simulation hypothesis being disproven also might mean something for multiverse theories which indirectly connect with or rely on the simulation hypothesis being true.
The researchers calculated that just storing information about a couple of hundred electrons would require a computer memory that would physically require more atoms than exist in the universe.
And the universe has just become even more strange. How is this even possible? But it is possible if it's true. What we do know is the information storage capacity of the universe is fixed. Does this not also mean the computational capacity of the universe is fixed as well? So if we cannot physically build a computer to do the computation to simulate a universe within this universe does it definitively disprove the simulation hypothesis or not?