Check out this graph of Tanh and derivatives

That blue line, it is the second derivative, the negative actually.  The peak around 5 is where
tanh'/tanh = 1, and tanh = Phi so that means that, as a spectrum in integer quants, that peak is where the ratio of one spectra to its neighbor is Phi. That curve also looks like a Plank's curve, no?

Now check out this story from Quantum magazine:

What struck John Learned about the blinking of KIC 5520878, a bluish-white star 16,000 light-years away, was how artificial it seemed.
Learned, a neutrino physicist at the University of Hawaii, Mānoa, has a pet theory that super-advanced alien civilizations might send messages by tickling stars with neutrino beams, eliciting Morse code-like pulses. “It’s the sort of thing tenured senior professors can get away with,” he said. The pulsations of KIC 5520878, recorded recently by NASA’s Kepler telescope, suggested that the star might be so employed.
A “variable” star, KIC 5520878 brightens and dims in a six-hour cycle, seesawing between cool-and-clear and hot-and-opaque. Overlaying this rhythm is a second, subtler variation of unknown origin; this frequency interplays with the first to make some of the star’s pulses brighter than others. In the fluctuations, Learned had identified interesting and, he thought, possibly intelligent sequences, such as prime numbers (which have been floated as a conceivable basis of extraterrestrial communication). He then found hints that the star’s pulses were chaotic.

But when Learned mentioned his investigations to a colleague, William Ditto, last summer, Ditto was struck by the ratio of the two frequencies driving the star’s pulsations.
“I said, ‘Wait a minute, that’s the golden mean.’”
This irrational number, which begins 1.618, is found in certain spirals, golden rectangles and now the relative speeds of two mysterious stellar processes. It meant that the blinking of KIC 5520878 wasn’t an extraterrestrial signal, Ditto realized, but something else that had never before been found in nature: a mathematical curiosity caught halfway between order and chaos called a “strange nonchaotic attractor.”

Related?  Well the frequency seems to be of the order of hours, though I could not get that number from the article.  There is more to the story and chaos and order seem to be associated with Phi, but between chaos and order is a Weiner process, no?