Can we do without realism?

I am interested in understanding what happens. It goes without saying, at least for me, that physics — I mean 20th. Century physics — is our best account so far of what happens, very compelling and astonishingly successful. But physics, as is well-known has some deep problems. I have slowly come to realise that the source of those problems is a philosophical mistake, a mistake that is not restricted to physicists but shared by nearly everyone. To put it briefly, it is the belief of nearly everyone that there is just one reality and just one truth, the truth about that reality. I think that physics can be made right, or at least made better, by dropping that faith and accepting that there are many realities, and consequently many times, and that truths about those realities are not given but are reached by agreement