Look wipeout, pick up any text on standard QM and collapse is a *necessary* mathematical postulate.
Here's just some quick questions that only need one-word answers. Please don't spend time typing up much more than that. This kind of discussion can time-consuming and we won't change each other's viewpoints, I am sure of that, as we didn't the times before.
So, doesn't the collapse approach add nonsensical negative probabilities to the theory? Now that'd be some good, necessary mathematics right there if it does. It certainly adds the paradoxes of faster-than-light and backwards-in-time effects to violate special relativity and apparent causality.
It can be as well defined (or otherwise) as "collapse" of a classical probablity distribution when we make a measurement of a classical random variable. That also only occurs when a human performs the collapse, precisely because its something *we* do (i.e on paper) - as Ziggurat pointed out its actual ontological status and dynamical origins are very dubious and much disputed.
Ok, here's any isolated system or even the universe. Can the collapse approach predict anything using collapse by an observation without getting into the paradox of outside observation of something you can't be outside of?
Despite that, the reason we *do* need to describe the system by the collapsed state is that it the correct state for predicting probabilities of any future measurements you make on the system. Those predictions are not handwaving and we do this all the time.
But that's easy for the collapse approach. So let's go the other way. You start with a collapsed state of any system, maybe even the universe. Can the collapse approach now retrodict anything that happened before the collapse? Anything in the prior history of system or even the universe? Or is it entirely unable to "uncollapse" and say anything about the past without adding human knowledge of that past external to the theory?
There is a whole "measurement based" model of universal quantum computing, for example, in which there is no dynamics whatsover other than the nonlinear jumps of collapses(*). It is likely this will be how we actually build quantum computers.
I have to assume these quantum computer scientists are aware that what you throw away with a collapse approach can come back to haunt what is kept if something is small enough and isolated enough? The collapsed state would then fail to be "the correct state" if the mathematics don't describe all that can cause later effects. Von Neumann wasn't waving his hands around with that one.
The "nobel prizewinners" argument is idiotic. For a start read Schroedingers paper and his correspondence with Einstein at the time - many historians as well as physicists and philosophers have pointed out what I'm saying. In fact I cannot think of a modern historian or philosopher of physics who claims otherwise.The fact that a nobel prizewinner gets it wrong is not surprising - e.g. 't Hooft didn't even understand Bell's theorem until after his nobel prize, and has admitted as such. One cannot be an expert on everything. One cannot be an expert on everything.
Yeah, and Bohr never understood EPR either, Einstein forgot general relativity in an argument against QM, Feynman misunderstood the fundamentals of calculus, and so on. Who knows, maybe even von Neumann did hand-waving consciousness arguments? Of course, someone pointing that out would be well aware that even the most brilliant can screw up.
I was pointing out that 3point14's understanding was more than fine.
I hope you make progress with your ideas, by the way. I am a little surprised you would risk anyone "borrowing" any idea by talking of it in a forum.