Ptatonic forms involve abstract mathematical objects that exists independently, which the wave-function would represent. This is from a very prominent physicist named Sean Carroll:
We human beings, even those who have been studying quantum mechanics for a long time, still think in terms of a classical concepts. Positions, momenta, particles, fields, space itself. Quantum mechanics tells a different story. The quantum state of the universe is not a collection of things distributed through space, but something called a wave function. The wave function gives us a way of calculating the outcomes of measurements: whenever we measure an observable quantity like the position or momentum or spin of a particle, the wave function has a value for every possible outcome, and the probability of obtaining that outcome is given by the wave function squared. Indeed, that’s typically how we construct wave functions in practice.
Mathematically, wave functions are elements of a mathematical structure called Hilbert space…The word “space” in “Hilbert space” doesn’t mean the good old three-dimensional space we walk through every day, or even the four-dimensional spacetime of relativity. It’s just math-speak for “a collection of things,” in this case “possible quantum states of the universe.”
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> Hilbert space is quite an abstract thing, which can seem at times pretty removed from the tangible phenomena of our everyday lives.
Space Emerging from Quantum Mechanics – Sean Carroll (preposterousuniverse.com)