Please explain. I've only ever seen handwaving in pop-sci books like Sean Carrolls suggesting this (something about that the Born-rule was the "only possible equation" which seemed somewhat tautological to me), and IIRC this wasn't very encouraging either because it didn't come with any experiments that could be done to show a difference to the standard methodology and then you tend to pick the simplest method which is the one everybody else uses every day.

Would be cool if there were of course. I'm not saying it isn't interesting, I'm just saying I completely understand why most physicists don't bother as it doesn't bring anything new to their table - there are plenty of other practical quantum effects that require research as well.