Socionomics and Fibonacci: The Golden Ratio Governs Life Beauty and the Universe

[Horn]

Sometimes a little review is helpful. This month we take a step back and look at one of the mathematical components of the science of socionomics.
Socionomics goes beyond the what of human events to pursue the deeper question of why. Why does mood wax and wane? Why does history seem to repeat itself in patterns? Why were hemlines higher last year? Part of the explanation is our proposal that fluctuations in social mood exhibit a ratio that also orders our DNA and galaxies.


We speak of course of phi, the Fibonacci, or golden, ratio (1.618 and its inverse .618) and the sequence from which it derives (0, 1, 1, 2, 3, 5 … ). For centuries, scientists have documented the appearance of this ratio and sequence in the human form, flowers, architecture, music, branching systems and so on. Ralph Nelson Elliott’s publisher, investment advisor Charles Collins, first pointed out the connection between the Wave Principle and the Fibonacci sequence, and Elliott published their findings in 1940. Robert Prechter further developed the connection to nature, especially biological systems, in his 1999 book, The Wave Principle of Human Social Behavior (http://www.elliottwave.com/s.asp?cn=ssnet&url=http://www.socionomics.net/socionomics-two-box-set/)(HSB). He noted that the most basic structure of the Wave Principle, five waves followed by three waves, is the minimum number of moves required to accomplish growth with fluctuation. In this sense, then, the Wave Principle is the most efficient model for coincident progress and dynamism.


Logarithmic Functions Govern Efficient Natural Designs
The Fibonacci sequence and the shapes associated with it grow according to logarithmic functions. These functions, spirals in particular, are found throughout nature.

The fastest animal on earth is the Peregrine Falcon, which dives at over 200 miles per hour to capture its prey. It plummets not straight down but in a spiral, widening by a constant factor. In a paper published in 2000, Dr. Vance A. Tucker of Duke University points out that to maintain constant vision of its prey, a straight-diving bird would have to cock its head to the side. He observes:
Although the spiral path is longer than the straight path, a mathematical model for an ‘ideal falcon’ shows that the falcon could reach the prey more quickly along the spiral path because the speed advantage of a straight head more than compensates for the longer path.1
By employing a logarithmic spiral instead, the bird maintains top flying speed, shortest time of descent and the ability to constantly view its target....


http://www.socionomics.net/2010/03/socionomics-and-fibonacci-the-golden-ratio-governs-life-beauty-and-the-universe/

[beefsteak]

By employing a logarithmic spiral instead, the bird maintains top flying speed, shortest time of descent and the ability to constantly view its target....

said poor falcon also gets a splitting headache from all that spiraling......

JK, Horn. Interesting post.

[Gaillo]

Phi is one h of a lot better than Pi...

[Horn]

Prechter also pointed out that the tendency of human groups to exhibit phi in decision-making is particularly evident in times of uncertainty. This inclination may reflect the unconscious herding impulse. Herding can be a useful default when facing a potential threat in the wild but it is almost always a significant detriment when making decisions about modern financial markets:

Throughout the herding process … the conviction of the rightness of stock valuation at each price level is powerful, emotional and impervious to argument.10



Such powerful, unconscious conviction helps one escape from a predator, but it is not conducive to rational thought in a financial setting.


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[Horn]

Golden ratio discovered in uterus

Belgian gynecologist measures reproductive organs of 5,000 women and finds that the most fertile have 'mathematically perfect' dimensions.


The golden ratio (http://en.wikipedia.org/wiki/Golden_ratio) is a scientific nugget that has, for at least two thousand years, belonged as much to mysticism as to mathematics (http://www.guardian.co.uk/science/mathematics).
It is just a number – 1.618 – but to its devotees the ratio expresses aesthetic perfection, and can be found wherever there is beauty.
For example, they argue that of all the rectangles in the world the most pleasing to the eye has a ratio of length to width of 1.618.
And of all the smiles in the world, they maintain that the most beautiful have their central incisors 1.618 wider than their lateral incisors, which are 1.618 wider than their canines, and so on down through the molars.
There are web pages (http://facethis.blogspot.co.uk/2012/01/perfect-face-golden-ratio-beauty.html) devoted to where else on the human face you can find the golden ratio, which is also known as the golden section, golden proportion or golden mean.
Even though I am sceptical about many of these claims, it is undeniable that 1.618 can be found quite easily on the human form – even on ugly people.
For example, if you mark the tips of the knuckles on your finger with a pen, the distance between first and second knuckle is about 1.618 times the distance between the second and the third.
http://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2012/8/8/1344407073544/rsz_goldfinger.jpg Pure gold: my finger has divine proportion The reason I can say this is because I have tried it out using a "golden claw (http://www.goldenmeangauge.co.uk/)", a pair of three-pronged callipers that always open such that the ratio between the prongs is 1.618.
All the claims about the golden ratio in humans come from considering our exteriors, which is why recently I was fascinated to hear from Jasper Verguts (http://www.uzleuven.be/pno/500435), a gynaecologist at the University Hospital Leuven in Belgium, who has tried to find out if the ratio also appears internally.
Dr Verguts told me that gynaecologists can instantly tell whether a uterus looks normal or not based on its relative dimensions, and his hunch was that these dimensions approximated the golden ratio.
Over the last few months he has measured the uteruses of 5,000 women using ultrasound and drawn up a table of the average ratio of a uterus's length to its width for different age bands.
The data shows that this ratio is about 2 at birth and then it steadily decreases through a woman's life to 1.46 when she is in old age.
Dr Verguts was thrilled to discover that when women are at their most fertile, between the ages of 16 and 20, the ratio of length to width of a uterus is 1.6 – a very good approximation to the golden ratio.
"This is the first time anyone has looked at this, so I am pleased it turned out so nicely," he said.

Interest in the golden ratio would have no scientific value were it not for the fact that the number has bona fide mathematical credentials.
The ratio was not plucked from thin air. It arises from the Fibonacci sequence (http://en.wikipedia.org/wiki/Fibonacci_number), the sequence of numbers starting 0,1 such that every term is the sum of the previous two:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …
The ratio of consecutive terms of the Fibonacci sequence converges to 1.618. For example 8/5 = 1.6 and a few terms down the line 89/55 = 1.618.
Since the Fibonacci sequence grows by adding on to itself in an organic way, it has been argued that one should expect to see Fibonacci numbers and the ratios between them in living forms.
Looking for the golden ratio in nature, in fact, is a hobby for many.
And none more so than the celebrated recreational mathematician Caspar Schwabe, who has gone one better than the traditional three-pronged "golden claw" and made a four-pronged one.

http://static.guim.co.uk/sys-images/Guardian/Pix/pictures/2012/8/8/1344407555174/rsz_img_0756.jpg

It's for external use only.


http://www.guardian.co.uk/science/alexs-adventures-in-numberland/2012/aug/14/golden-ratio-uterus

[freespirit]

Tag for later...
Preemptive thanks added.
;)

[singular_me]

mathematics is everything... there is this one quote that goes like this: to conquer nature you must first obey it. Economics mirrors what we see, but it is subjected to other patterns which we must equally master and are not always taken into account by the mainstream.


interestingly, from the calculations on the latitudes and longitudes the earth's golden ratio point is at Mecca :) ... a secret war for the highest energy area on the planet!!

havent gotten the time yet to read this: The Golden Ratio and Astronomy
... Black holes are characterized by two physical properties, their mass and their angular momentum (a measure of how fast they are spinning). Spinning black holes (called Kerr black holes, after the New Zealander physicist Roy Kerr) can exist in two states: one in which they heat up when they lose energy (negative specific heat), and one in which they cool down (positive specific heat). They can also transition from one state into the other, in the same way that water can freeze to form ice. Believe it or not, but the transition takes place when the square of the black hole mass (in the appropriate units) is precisely equal to ϕ times the square of its spin!... more http://www.huffingtonpost.com/mario-livio/the-golden-ratio_b_1818907.html

[Horn]

interestingly, from the calculations on the latitudes and longitudes the earth's golden ratio point is at Mecca :) ... a secret war for the highest energy area on the planet!!

You might be entering a uncontrollable rate of spin with that statement... perhaps traipsing along other dimensional lines we find ourselves at London, plus or minus 61.8degrees north of Mecca? Ha!

[singular_me]

You might be entering a uncontrollable rate of spin with that statement... perhaps traipsing along other dimensional lines we find ourselves at London, plus or minus 61.8degrees north of Mecca? Ha!

61.8 degrees north of Mecca... shoot. I never calculated all this to be honest.

earth's magnetic grid is well known by the PTB. I assume Mecca is the north hemisphere... south hemisphere, I read Rio de Janeiro once.

check this out when you get a chance
http://www.goldennumber.net/solar-system/
http://www.goldennumber.net/category/markets/

[Golden]

If the poles are moving then so is the place of the golden ratio.

[Gaillo]

If the poles are moving then so is the place of the golden ratio.

The magnetic pole is moving, but the geographic pole is fixed.

[Horn]

61.8 degrees north of Mecca... shoot. I never calculated all this to be honest.

I do remember that post of Mecca as some sort of "energy" center, was it a Golden Ratio center?

I thought it had more to do with land mass vs. water/gravity ratio? Hmmm where was that thing?

[Horn]

http://www.youtube.com/watch?v=4oyyXC5IzEE

[Horn]

http://25.media.tumblr.com/d42f83f980ee7bef8fa06a79e4670c04/tumblr_mifeq4Z5Zy1rj9sw5o1_500.gif

http://www.tumblr.com/tagged/golden%20mean?language=de_DE