vidarh parent
Unless you can show - even a single example would do - that we can compute a function that is outside the Turing computable set, then there is a very strong reason that we should assume a silicon machine has the same capabilities as a carbon machine to compute.
The problem is that your challenge is begging the question.
Computability or algorithms are the problem.
It is all the 'no effective algorithm exists for X' that is the problem.
Spike train retiming and issues with riddled basins in existing computers and math is an example if you drop compute a function