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Strange Stars Pulse To the Golden Mean
An anonymous reader sends this excerpt from an article at Quanta 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, Mnoa, 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.'"
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.'"
Whoa, dude. Tenured professor? I dunno, maybe you should aim for something more achievable -- like, an astronaut, or a world-famous basketball star.
I'm only exaggerating a little. :b
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The two numbers Phi and Pi are actually related by trigonometry, so it is hardly surprising that they would show up in a ratio concerning the rotation of stars.
If you divide a circle into 5 sections of 2*Pi/5 each you will get the five points of a pentagon, whose dimensions are all based on phi relationships [i.e. the Golden Mean]. Thus one can state:
2 * cos (Pi / 5) = Phi or
2 * sin (Pi / 5) = sqrt ( 3 - Phi )
or even better:
Pi = 5 arccos (Phi / 2)
that is,
Phi = 1 - 2 * cos (3 * Pi / 5)
So it is not entirely strange that the simple harmonic motion of a star could be expressed as some ratio of Phi.
It's all numbers, numbers all the way down.