Here's an essay that is suggestive of Bruno's distinction between what is 
provable and
   what is true (knowable) but unprovable.  Maybe this is a place where COMP 
   contribute to the understanding of QM.


   *Lessons from the Block Universe*

   *Ken Wharton
   Department of Physics and Astronomy
   San José State University

   In Liouville mechanics, states of incomplete
   knowledge exhibit phenomena analogous to those exhibited
   by pure quantum states. Among these are the existence
   of a no-cloning theorem for such states [21, 23],
   the impossibility of discriminating such states with certainty
   [21, 24], the lack of exponential divergence of such
   states (in the space of epistemic states) under chaotic
   evolution [25], and, for correlated states, many of the
   features of entanglement [26]. On the other hand, states
   of complete knowledge do not exhibit these phenomena.
   This suggests that one would obtain a better analogy
   with quantum theory if states of complete knowledge
   were somehow impossible to achieve, that is, if somehow
   maximal knowledge was always incomplete knowledge
   [21, 22, 27]. This idea is borne out by the results
   of this paper. In fact, the toy theory suggests that the
   restriction on knowledge should take a particular form,
   namely, that one's knowledge be quantitatively equal to
   one's ignorance in a state of maximal knowledge.

   It is important to bear in mind that one cannot derive
   quantum theory from the toy theory, nor from any
   simple modification thereof. The problem is that the
   toy theory is a theory of incomplete knowledge about
   local and noncontextual hidden variables, and it is well
   known that quantum theory cannot be understood in this
   way [28, 30, 31]. This prompts the obvious question: if
   a quantum state is a state of knowledge, and it is not
   knowledge of local and noncontextual hidden variables,
   then what is it knowledge about? We do not at present
   have a good answer to this question.

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