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Golden Ratio Discovered In a Quantum World
FiReaNGeL writes "Scientists have for the first time observed a nanoscale symmetry hidden in solid state matter. 'In order to study these nanoscale quantum effects, the researchers have focused on the magnetic material cobalt niobate. It consists of linked magnetic atoms, which form chains just like a very thin bar magnet, but only one atom wide.' By artificially introducing more quantum uncertainty, the researchers observed that the chain acts like a nanoscale guitar string. The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618, which is the golden ratio famous from art and architecture. The observed resonant states in cobalt niobate are a dramatic laboratory illustration of the way in which mathematical theories developed for particle physics may find application in nanoscale science and ultimately in future technology."
1, 1, 2, 3, 5, Eureka!
Since we know Google is never wrong, the Golden Ratio is exactly 1.61803399, not 1.618 as stated in the summary.
.999... = 1 threads?
.999... and 1? .aaa...
What between
High-end ben-wah balls that reverberate to the sound of money?
Orwell: "In a Time of Universal Deceit, telling the Truth is a Revolutionary Act"
More for the spankbanks of all the readers of Dan Brown novels who truly believe Mary Magdalene is buried beneath the Louvre.
"I'd just like to emphasise that taking a million years isn't a metaphor here..." -Rich Bradshaw
This article confuses me. Would someone be kind enough to explain it to me with a car analogy?
Its got the number of the beast in it. Quick, ring Robert Heinlein.
http://michaelsmith.id.au
...the golden ratio famous from art and architecture...
As a (former) mathematician, I would like to point out that the ratio really comes from elementary (pun intended; read on to find out more) geometry. The ancient Greeks played around with it quite a lot and Euclid mentioned it (more or less) in his Elements. The Greeks weren't interested in this because of art or how pretty it was, but because they were particularly crazy about geometry (nearly all of their mathematics was derived from it) and some seemed to think that the universe could be understood through geometry alone. Anyway, it is just the fairly simple ratio of lengths of two lines such that the ratio between the larger and the smaller is the same as the ratio of them both added and the larger, or algebraically;
(a + b)/a = a / b = phi
This can then be trivially rearranged into phi^2 - phi - 1 = 0, and then that has the one positive solution; phi = [1 + sqrt(5)]/2 (the negative solution being [1 - sqrt(5)]/2 = - 0.618... but negative lengths and ratios tend to prove problematic). As usual, Wikipedia has more information.
While it is quite interesting to see it appear in a quantum mechanical setting, it isn't particularly shocking (to me). The number is the result of a fairly simple equation (as shown above) which is why it seems to appear so frequently in nature. While I didn't get this far in my studies of quantum theories, it wouldn't surprise me if, once the mathematicians have a chance to look into this, the reason behind this appearance of phi is found to be rather trivial.
However, I am not a physicist, or an expert in this field, so I may be completely wrong.
It would be highly improbable for a random universe to create this sort of symmetry.
To believe in a random universe requires a lot more mental gymnastics to reconcile the observed universe with that world view.
Jesus was a compassionate social conservative who called individuals to sin no more.
Maybe what we can see is just the surface of a deeper reality, and below that something deeper again, etc. etc.. So this appearance of a golden ratio is actually an artefact of a continued fraction i.e. 1 + 1/(1+1/(1+1/(1+1/(.....
threadeds blog
What's the difference between nigger pussy and a bowling ball? If you had to, I mean really HAD TO, you could eat the bowling ball.
Do NOT disrespect the pussy. Whatever your race, whatever your class, whatever your religion, if you, Mr. Male Homo Sapiens, were stranded on a desert island with ANY kind of pussy, you would eat it. You would eat it and you would love it and you would beg for more, and if you deny it we ALL know you are a liar. Race does not mean shit when it comes to getting your dick wet and you know it.
God did it! God teir troll that man is.
i shit out an obama.
plop!
For those of you that want to hear what this ratios sounds like, it's 833 cents, or a minor sixth plus 33 cents. This happens to be the interval used to form the aptly named Bohlen 833 cents (or A12) scale.
Mal-2
How is the Riemann zeta function like Trump rallies? Both have an endless number of trivial zeros.
Does the belief in a universe that is not random necessarily imply a belief in God?
Your brain is not a computer.
Since, at a minimum, you can't solve for the state of the lottery lady
Easy! The state of the lottery lady is the same as the state of the lottery itself.
When our name is on the back of your car, we're behind you all the way!
Offtopic??? - I have points but have already commented elsewhere.
And did you exchange a walk on part in the war for a lead role in a cage? - Pink Floyd.
Fucking percent Of to say there have I'm discussing
New properties emerge which are the result of an effect known as the Heisenberg's Uncertainty Principle.
I see neither these properties emerging as a result of the Heisenberg Uncertainty Principle nor the 'effectiveness' of this mere principle.
I rather think that the properties exist independent of any principle and we label our discovery of such as a principle [and both the properties and the principle (albeit an artificial construct) lie outside our observation of such].
much as Wind]ows About 4alf of the
The golden ratio phi is "the most irrational number", in some sense. If you try to take better and better rational approximations to phi, obviously you need to go to bigger and bigger denominators in the fraction. In the limit as the error tolerance goes to zero, the necessary size of the denominator grows at a certain asymptotic rate. One can show that for phi this rate is the largest possible, so the golden ratio is the hardest number to rationally approximate.
"The golden ratio is found everywhere in nature even to the quantum level. It is THEREFORE the most pleasing ratio to the human eye. It would be highly PROBABLE for a random universe, GOVERNED BY PHYSICAL LAWS, to create this sort of symmetry."
The golden ratio is a relationship in the universe and mathematics, found by us. If it happens everywhere, even at quantum levels, it may signify "deeper" laws than the ones we are operating with now, because we currently have different laws on such vastly different scales. In this light, this find is highly interesting to say the least.
Why it is pleasing to the human eye? Can it be because it has symmetry between one level of scale and the next? I dont see the causation of its occurence in nature and level of pleasure. Many patterns occur all the time to our eye, and we find it boring and mundane. The Golden Ratio is actually pretty rare compared to other, more "random" ratios, and is more often found in biology and more complex processes. I find it more interesting that the Golden Ratio has this symmetry of binding different scales in harmony, something we humans sorely lack at this present stage. We need to find more harmonious energy sources and modes of development, rather than rape this planet and have a goldrush all the time.
Not sure how you would define a random universe. Either we can consider its input universally unknown, or governed by some higher level of existence. Usually science will occillate between these, and we may never truly find the original source. But certainly a true random generator would be just as amazing as God as a universal old bearded caucatian male. Where would such a random generator operate, and with what? If you think about it, it really doesnt explain anything at all. The flying spaghetti monster could just as well be the source then, because you can fantasize whatever you want to be "outside the universe". In addition, the Vedas says the universe / God is self-contained, which is a logical explanation in the light of this, and may be more useful in order to understand more.
A more universal definition of "physical laws", would be "vibrational limitations". Vibrations play with the Golden Ratio all the time, and is a more universal theme (pun intended) for our surroundings than the "law and order" we try to impose on it.
Personally, I think the Vedas are correct when it says everything is vibrations, and what we experience, is just the ever-changing limitations of the infinite possibilities of the universes substratum.
God then would be more a collective consciousness, rather than an old bearded caucatian male, and you could just as well call Him/Her by many names: the universe, love, all that is, etc. - also postulated by the Vedas, which never constrained "the one and only God" into anything else than the very existence that we experience. The other "Gods" / demigods etc. were just different aspects of the one universal principle.
Well I guess I lost 99% of /. readers by now, so I leave the rest as an excercise to the reader :-)
The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618, which is the golden ratio famous from art and architecture.
Interesting. Now how do you write the Twilight Zone theme Da da da da just doesn't cut it IMHO.
Which brings me to the point of all this - How come only a very few scientists ever ask 'Why is this so?'.
All they seem to do is to observe and record.
What relationship is there between the Parthenon, quantum physics and nano tech?
Why 1.618 and not 10/7 or any other semi-mystical ratio???
Don't be apathetic. Procrastinate!
You'll probably find this line in the computer program that runs version 5 of "Life, the Universe and Everything"
public const float seed = 1.618f;
Exception Duck - may or may not contain chicken.
http://www.youtube.com/watch?v=Xfqht0LEOWQ
note that golden ratio is found in many celebrated works of art. a lot of artists in history used it knowingly in their masterpieces. such pieces of art are known to appeal to human's liking more. liking, appreciation, all subjective concepts. human psyche is something we havent been able to approach with any tangible, usable definite method up to this date.
now we find this ration in quantum mechanics.
this is practically the first solid link in between something that is numeric, defined and clear cut and human psyche.
Read radical news here
Does this ratio show up in any texts? Specifically the word breaks, paragraphs, etc?
1:4:9, at least for the first 3 dimensions?
The first artificial signal we've received via a medium we're only just discovering, perhaps? :)
>Now, give an example of a phenomenon which exists and can't be measured.
Your stupidity?
My favorite comic writer Terry Moore has a series going on now that is tightly wound around the golden ratio. It's called Echo. Check it out. The ISBN number of the first trade paperback is 978-1892597403.
And yes, this is a plug. I like it enough to have a subscription so neener, neener! I'll plug all I want! ;)
The real question is, can anything in the quantum world really involve a non-rational number (or even a non-terminating decimal)?
Sure - non-rational numbers correlate to the uncertainty principle.
I think.
Made me laugh!
-kgj
http://www.gootar.com/gravityboy/docs/fluxi.html Arrangement of Axis Unit Flux 10-D It has ten diagonals, nine with the force of light, one minus the charge or plus gravity (the normal state). They are composed of one dimensional (1-D) infinitesimal width string or tube like objects arranged in a ten dimensional Dodecahedron axes pattern terminating on vertices or the set of twenty points... (+-x/y, +-xy, 0) where y = (5+1)/2 ( +-xy, 0, +-x/y) x = G /(20 * 3)
( 0, +-x/y, +-xy) G = 1/(10 * 26 - 1)c
( +-x, +-x, +-x)
y = (5+1)/2 = 1.61803398875 = the golden ratio.
This diagram and description is clearer, but does not mention any of the other ratios found. https://www.helmholtz-berlin.de/aktuell/pr/pm/pm-archiv/2010/quantenwelt_en.html
Has any discussion taken place linking this article to this one?
Perhaps the detection of E8 symmetry could lend credibility this this theory?
http://www.telegraph.co.uk/science/large-hadron-collider/3314456/Surfer-dude-stuns-physicists-with-theory-of-everything.html
Now that we have at long last discovered the reality of the golden mean in quantum mechanics and high energy physics, we should recall the true history of this momentous discovery of one of the most amazing principles ever found combining art and science on a fundamental level. It was Mohamed El Naschie who discovered the fundamental role of the golden mean in high energy physics for the first time using golden geometry he was able to explain rationally the two slit experiment. A book which just appeared in World Scientific summarizes all this discoveries. The book is entitled: The Mathematics of Harmony. The author is academician Alexey Stakhov, the renowned mathematician and engineer. It is edited by the American Philosopher Scott Olsen. Some have proposed Stakhov for a Nobel prize based on this publication. Another noteworthy book based on Mohamed El Naschie’s work is that of Leonard Wapner entitled: The Pea and the Sun published by A.K. Peters Ltd, Wellesley, Massachusetts. It is only fair to mention that Mohamed El Naschie’s discovery would have been unthinkable without the work of Garnett Ord and Laurent Nottale in fractal spacetime. The profound question is now how did the golden mean enter into fractal spacetime. The answer is extremely simple. It is through Maulden Williams theorem. This theorem was used for the first time in quantum mechanics by El Naschie. The theorem states that a random cantor set will always have with a probability equal 1 the golden mean as the Hausdorff dimension. Since spacetime is nothing but an infinite collection of random cantor sets, it follows that the mathematical building blocks of quantum mechanics and quantum gravity is the golden mean. It sounds unlikely, esoteric or even crazy, but it is not. If it would be it wouldn’t have been discovered experimentally.