Sure- if you have access to exact real numbers, you have something more powerful than a Turing machine. But there's no evidence that that's physically possible.

Sure- if you have access to exact real numbers, you have something more powerful than a Turing machine. But there's no evidence that that's physically possible. The Church-Turing thesis is about actual computation that could happen in the world, not theoretical models, of which there are many that can perform hypercomputation.