Bohmian mechanics are very controversial and has some evidence against it I think because of it's reliance on hidden variables that have so far proven undetectable, although I'm no expert on that subject. Of course, maybe we just don't know.
String theory I think says that tiny particles could move around in more dimensions than the traditional 4 but that we are not able to percieve these extra dimensions. As such, it can also potentially explain these paradoxes that quantum physics deal with.
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