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Jul 20, 2017 at 16:16 comment added Ruben Verresen (note that my 'EDIT' above moreover indicates that the exponentiation involved is in fact not as random as it might seem on first sight, at least from a physical perspective)
Jul 20, 2017 at 16:14 comment added Ruben Verresen @AntonFetisov Why should there be a relationship at all? I agree that if I had sampled from the space of all functions and I searched for (and found) two seemingly different functions that have vaguely similar values, of course that would not be surprising. In this case, however, as evidenced by the comments by Sebastian Palcoux and j.c. (thanks!), there are clearly deep links between the two topics in which these numbers appear. The fact that their numerical values subsequently turn out to be linked by a seemingly haphazard exponentiation involving $c_m$ makes a link all the more tantalizing.
Jul 20, 2017 at 15:59 comment added Anton Fetisov There is nothing deep or mysterious here, $c_m$ and $\mathrm{log}_4 B_m$ just have approximately equal Taylor expansions in $1/m$. Honestly, both functions are so elementary that some relation between them isn't surprising.
Jul 20, 2017 at 12:47 history edited Ruben Verresen CC BY-SA 3.0
giving physical intuition for the observed inequality
Jul 19, 2017 at 11:59 comment added Sebastien Palcoux It could be related to: mathoverflow.net/q/70575/34538
Jul 19, 2017 at 0:22 comment added j.c. This pair of papers by Fendley and Krushkal might be related: arxiv.org/abs/0711.0016 arxiv.org/abs/0806.3484 .
Jul 19, 2017 at 0:06 history edited Ruben Verresen CC BY-SA 3.0
deleted 6 characters in body
Jul 19, 2017 at 0:00 history asked Ruben Verresen CC BY-SA 3.0