Yesterday I asked whether the Schroedinger Equation could possibly be nonlinear, after reviewing the answers and material given to me in that thread I feel like my question were adequately answered.
However could there still be nonlinear dynamics underneath quantum mechanics that could potentially explain the "weirdness" of quantum mechanics? I know of atleast one serious physicist who is developing an approach in this direction, Tim Palmer with his Invariant Set Postulate.
Just like the Liouville equation is linear, but there are "deeper" nonlinear dynamics beneath it, couldn't the Schroedinger Equation be the same? This is atleast one of Tim Palmers motivations for developing his approach and is also what Dirac said way back in the days.
I suspect this is what David Zaslavsky meant yesterday when he responded to my other thread (Could the schroedinger equation be nonlinear) when he said:
That being said, there's no reason that the "true" theory underlying QM would have to be linear. In fact, for exactly the reason you pointed out (i.e. that general relativity is nonlinear), it's commonly believed that we will need some kind of nonlinear theory to properly explain the universe at its most basic level.
Any views / opinions / thoughts / theories ?
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