Suppose we have some intelligence that cannot be simulated in a Turing machine because it invokes an uncomputable function. That intelligence as it exists in re

Suppose we have some intelligence that cannot be simulated in a Turing machine because it invokes an uncomputable function. That intelligence as it exists in reality is computing something that cannot be computed by a Turing machine. It's not impossible that that can exist (quantum computers may someday demonstrate that, for example), but it would be a huge discovery that would shake the foundations of information theory, especially if it was happening at neuron-scale.