The Art Historian Physicist

If the Universe could be observed as a generalized wavefunction $psi$, perpetually collapsing unto physical properties, what axioms would hold for a coherent picture of reality? A generalized Hilbert space, following von Neumann algebras? Not very pretty. Cauchy´s integral formula and theorems are prettier:

Essentially, it says that if  is holomorphic in a simply connected domain Ω, then for any simply closed contour  in Ω, that contour integral is zero.

(took this directly from Wikipedia: https://en.wikipedia.org/wiki/Cauchy%27s_integral_theorem). Now, Let U be an open subset of the complex plane C, and suppose the closed disk D defined as

is completely contained in U. Let f : U → C be a holomorphic function, and let γ be the circle, oriented counterclockwise, forming the boundary of D. Then for every a in the interior of D,

(https://en.wikipedia.org/wiki/Cauchy%27s_integral_formula). If f(z) = $psi$, the information paradox would literally like finding a needle on a haystack, only the needle would be a photon collapsing into the big haystack of an event horizon.

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