It seems to me that we must make a distinction between what is "objective" and what is "measurable" in discussing the question of physical reality, according to quantum mechanics. The state-vector of a system is, indeed, not measurable , in the sense that one cannot ascertain, by experiments performed on the system, precisely (up to proportionality) what the state is; but the state-vector does seem to be (again up to proportionality) a completely objective property of the system, being completely characterized by the results it must give to experiments that one might perform.
Roger PenroseConsciousness ... is the phenomenon whereby the universe's very existence is made known.
Roger PenroseSome years ago, I wrote a book called the Emperorโs New Mind and that book was describing a point of view I had about consciousness and why it was not something that comes about from complicated calculations.
Roger PenroseThere are considerable mysteries surrounding the strange values that Nature's actual particles have for their mass and charge. For example, there is the unexplained 'fine structure constant' ... governing the strength of electromagnetic interactions.
Roger Penrose