Physicist Roger Penrose, and anaesthesiologist Stuart Hameroff, particularly in their controversial ORCH-OR hypothesis, frequently make explicitly Platonic claims. E.g.:
In this approach, whenever superpositions reach threshold, OR events select particular classical states, accompanied by moments of (proto) conscious experienced qualia, basic units of feeling and awareness. The choice of classical states in OR events are inﬂuenced by (resonate with) what Penrose termed Platonic values embedded in the ﬁne scale structure of the universe. The qualitative feeling of each quale, ie, good, bad, or otherwise, would depend on resonance and geometry of speciﬁc spacetime separations with deeper, Platonic levels of the universe. Most signiﬁcantly, unlike the Copenhagen interpretation in which consciousness causes collapse, Penrose OR proposes that collapse causes consciousness (or that collapse is consciousness).
– ‘The Quantum Origin of Life: How the Brain Evolved to Feel Good’, S. Hameroff, in On Human Nature Biology, Psychology, Ethics, Politics, and Religion
Like so many other mathematical ideas, especially the more profoundly beautiful and fundamental ones, the idea of computability seems to have a kind of Platonic reality of its own. It is this mysterious question of the Platonic reality of mathematical concepts generally that we must turn to in the next two chapters.
– The Emperor’s New Mind, Roger Penrose
I (and I suspect others), have been dismissing this Platonic Idealism as a mere “metaphysical belief”, and therefore the claims, [involving Quantum phenomena and consciousness], based on it as merely “Quantum Woo”, on the prima facie basis that (i) Platonic Idealism seems to have virtually no acceptance within science, and (ii) there appears to be no scientific evidence supporting the existence of platonic forms.
So my question is:
Can anybody present scientific evidence for the existence of platonic forms?
Lacking such scientific evidence, I will feel to be perfectly justified in rejecting out of hand any claims based on their existence.
[Clarified, per discussion below.]