I'm been trying to build a digital equivalent of quantum computer but notice a curious result.
The quantum 'logic gates' I have cannot inany shape or manner computer a trancendental number directly. Which is a bit pathetic, since that is a high priority.
But then I notice none of the quantum computer bits that make up our universe cannot compute transcendental numbers either. They at best perform integration operations which results in an indirect computation of trancendental numbers - e.g. charging of a capacitor by electrons. The rising voltage function is an integral and is given by a trancendental involving exp() function, but the make up of the capacitor and electron filling scheme is fundamentally a quantum process.
Wherever I look, the same pattern repeats. Each potential trancendental candidate is just an integration of quantum fluctions - verifying never does nature directly use trancentals in any form of quantum computing. Reality is weird. If true, then it is an incomprehensible result.
Why should nature have such a huge aversion to trancendentals?