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 could contribute to the understanding of QM.
Brent *Lessons from the Block Universe* * *Ken Wharton Department of Physics and Astronomy San José State University http://fqxi.org/data/essay-contest-files/Wharton_Wharton_Essay.pdf?phpMyAdmin=0c371ccdae9b5ff3071bae814fb4f9e9 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. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list?hl=en. For more options, visit https://groups.google.com/groups/opt_out.
