What quantum mechanics leaves out of its "randomness is fundamental" picture is the state of the entire rest of the universe. Equations for quantum states generally cover only one or a very low number of particles, interacting (or not) with a very limited environment. The equations leave out the near-infinitude of states required by the generator to create the particles in question. They completely ignore the near-infinitude of states required for the detector to function. They ignore as irrelevant the near-infinitude of states of the surrounding apparatus.
Why? Because the math is much, much too hard, and the measurements are essentially impossible to make to the precision required. Therefore, "randomness is fundamental to the quantum mechanical process!"
Copenhagen Interpretation delenda est!
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