Applying Riemann-Hilbert Space Curvature to Quantum Mechanics

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Has a Hilbert space (e. g., containing an infinite-dimensional complex vector field) with curvature been applied to problems in quantum mechanics? Just asking.
 
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This is quantum field theory in curved space time. Gauge fields make such theories even more general.
 

Thread 'Is a table levitating possible, even at a minuscule probability?'

I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...
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