There are no real numbers in nature, as the Heisenberg uncertainty principle means that all measurements have an error bound--i.e. are intervals.
Our mathematical tools for quantum mechanics are wave functions, with presumed real-valued quantities. Problem is, we can never feed them precise enough inputs for that to matter, since all of our measurements are interval-valued quantities.
Our mathematical tools for quantum mechanics are wave functions, with presumed real-valued quantities. Problem is, we can never feed them precise enough inputs for that to matter, since all of our measurements are interval-valued quantities.