If you didn't catch the new Thru Wormhole epi on Alien Contact, a relevant snip and article is here:
So, I just saw the Thru Wormhole episode ... Very interesting stuff about the 45-degree slope. But, I need some clarification....
In the epi's first example of the 45-degree-slope theory, Doyle drew a straight-line slope based on RANDOM words he noted on a printed page. Where (source: novel, story, etc) did those random words come from? I don't think enough context was given.
In the straight-line distrib. example, it seems as if Doyle was reading RANDOMIZED words from a novel or story. But a RANDOMIZED novel/story/article (or any RANDOMIZED chunk of a lang or codification) would reveal an angled slope, be it 45-degree or other. The "language of Life", e.g., is based on carbon, oxygen, hydrogen, etc. and one can draw an ANGLED slope from tthe freq of occurrence of those elements (from all the known elements).
So I'm not sure you can use randomized human lang or dolphin lang as valid example. Random is noise, so CMB or white noise, etc. is legit. But not sure that works well for the pop-sci/general audience crowd.
I agree about 45-degree relationship as an indication of a meaningful communication, lang., or message.