As of yet we have no such evidence of physical systems that are more powerful than Turing machines. We will consider if ever such evidence arises.
Turing machines can't operate on arbitrary real-numbered values because they require infinite precision.
If the universe indeed uses real values, it's possible that it's more powerful than Turing machines.
Turing machines can't operate on arbitrary real-numbered values because they require infinite precision.
If the universe indeed uses real values, it's possible that it's more powerful than Turing machines.