Scientists have discovered a hidden symmetry of the famous golden ratio in nanoscales by using quantum effects
Scientists from the Helmholtz-Zentrum Berlin (HZB), in collaboration with colleagues from the Universities of Bristol and Oxford, and scientists from the United Kingdom, observed for the first time a hidden symmetry in the nanoscales. They measured the symmetry signature that indicates the famous golden ratio from art and architecture.
The research team published the findings in the January 8 issue of the journal Science.
At the atomic scale, particles do not behave in the intuitive and familiar way from the macro world. New properties now emerge from the well-known effect of Heisenberg's uncertainty principle. In order to understand the quantum effects at the nano scale, the scientists focused on the magnetic material cobalt niobate. The material contains magnetically bound atoms, which form a chain a single atom wide. Therefore, the material is an effective model for describing ferromagnetism in the nanoscale material in the solid state.
Creating a magnetic field at the appropriate angle rotates the magnetic chain and causes a state known as "quantum critical state". Prof. Alan Tananath, the researcher who heads the group of the Helmholtz-Zentrum Institute, explains "the system reaches quantum uncertainty - or a state of Schrödinger's cat. This is what we did in the experiments with Cobalt Newbat. We tuned the system precisely to create the quantum criticality.”
By directing the system and creating additional quantum states of uncertainty, the scientists expected the chain of atoms to behave like a guitar string on a nano scale. Dr. Rado Koldia from the University of Oxford, the director of the study, explains: "Here the tension comes from the interaction between spins which cause them to resonate magnetically. For the interactions we found a perfect ratio between them. The frequency is the ratio 1.618..., which is the famous golden ratio from art and architecture".
The effect observed in the material is a dramatic laboratory demonstration of the way in which mathematical theories in particle physics find applications in nanoscale science and future technologies.
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To the question
Thanks for the explanation. But still I didn't understand
In the article in English it says something related to the number 8. I think it was the relationship between the copper and something I don't know and as I understood in this relationship between the two materials a phenomenon is created that the researchers called interesting in terms of superconductivity and according to the article in Hebrew it was written that 'quantum changes of appearance result exclusively from quantum fluctuations'. So I thought that maybe this golden number gets mixed up somewhere when a change in the konti instance occurs in a phenomenon where there is such a relationship between the materials.
You are confusing JDATE.co.il with real social and relationship life
You are confusing social life with a relationship–> JDATE.co.il
You don't have a social life do you?
ghost moon:
I don't know if there is any point in answering because they are being deleted here for some reason.
1: 8 = 0.125
The golden ratio is a solution of X**2-X-1=0
=0.5 *(0.5**5 + 1)=1.618… an irrational number.
So it's not exactly but 8 is the fifth number in the Fibonacci series and the ratio of its inverse ie 1:8 to the golden ratio is approximately 13 which is the sixth number after it in the Fibonacci series.
It is known that the ratio between any two adjacent numbers in the series converges to the golden ratio.
By the way, the number 5, which also belongs to the series, appears in many contexts in relation to the gold section.
Note that the solution to the equation contains the square root of 5 which is itself an irrational number.
The group E8 mentioned in the article as belonging to symmetry in quantum theory. Forms a polytope that converges a dodecahedron and an icosahedron that are composed of pentagons in different ways.
The pentagonal star creates this relationship between its sides and each of the bases of the pentagon that blocks it.
And the ratio between the angles of these triangles and the sum of the angles of a triangle is one-fifth or 2-fifths.
What a shame no one answers me
sympathetic,
As always, your comments are enlightening.
Yael
When I spoke about numerology I meant the tendency of people/scientists to attribute magical meaning to certain numbers. Feynman described it well when in one of his lectures he stated "On the way here I saw a car with an amazing license number
82-745-79 Imagine - what is the probability that such a thing would happen by chance?" Feynman could have just as well come across the number 88-888-88 and there would be nothing unusual about it.
The surprising thing about the work you described in the article was not that a ratio equal to the golden ratio was obtained between the low frequencies of the chain excitation. The surprising thing about is that it is a hidden symmetry, the theory about which was developed for elementary particles.
The impression of a certain pattern or some number is science in its most basic form. The cataloging of phenomena by quantitative means is the basic step in building a theory while here
There is an amazing theory that describes the experiment and its results. The fact that quantum phase transitions can be obtained in a solid state system is amazing! The fact that these are quantum cat states and were able to produce them in a laboratory is amazing. As you can understand from their name, cat situations refer to a cat being alive and dead at the same time (Schrödinger's thought experiment), try to imagine how difficult it is to produce such situations in the laboratory!
Michael
Thanks for the link to your article which is fascinating. To me, the things that are amazing are not the patterns but the ability to use theories developed for a completely different purpose on an experimental system that is amazing in its complexity. In my opinion, this is not an impressive scientific discovery, they did not discover a new theory here, but an impressive ability to represent a known theory using a solid state system.
I also think that discoveries of this kind are extremely important and advance our understanding of the world considerably.
In fact, I think Ehud thinks so too, although he expressed disdain for Pai's revelations and other constants.
The other things he described as causing him to be shocked are also elements of pattern recognition.
https://www.hayadan.org.il/meta-beuty-2911082/
First, it has nothing to do with numerology. Second, yes, we should be amazed every time we find phi and exponent or any other constant in nature. Besides the fact that it is beautiful, the whole purpose of science is to find a pattern. To find something familiar and understandable in the chaos, to throw nature into the equation.
E8 did appear in the original news, but I decided not to include it this time.
Liel, thank you for bringing the fascinating article.
In my opinion, finding the golden ratio is the least interesting detail in the article. Should we be so excited every time pi and e appear in experimental results?
The amazing thing about the experiment is how it links the solid state to the physics of elementary particles. The idea of hidden symmetry is an amazing idea that was discovered in the context of gauge particles
in the field of elementary particles and it describes a situation in which the system has greater symmetry than that observed experimentally in the measured system. The researchers in it indicate the group E8 as the symmetry group that has several interesting connections in the field of particles. Add to that Schrödinger's cat states and quantum phase transitions and we got a collection
Amazing amount of theories and quantum effects required to understand a single experiment. In the above experiment, rich and amazing physics is hidden, regardless of the numerology of the golden ratio.
No, you're right, it's not really close, but I meant more about whether there is a connection between these critical situations that are discussed here and in the article, and whether there is a connection between the golden ratio and the phenomenon caused in the second article
ghost moon,
How exactly is 1 to 8 close to 1.618?..
I read in an article that was published here on the same day of this article, it was written about 'quantum oscillations in superconductors' and it was written there, among other things:
"...Criticality appears near an endpoint through which matter passes when it changes its manifestation. Many changes in phenomena - such as the melting of ice into water - occur as a result of thermal (thermal) fluctuations. However, quantum criticality and quantum instance changes arise exclusively from quantum fluctuations.”
I found in this article:
http://www.sciencedaily.com/releases/2008/12/081202115205.htm
Tranquada and his colleagues have been studying a layered material made of lanthanum, barium, copper, and oxygen (LBCO) where the ratio of barium to copper atoms is exactly 1 to 8. At a range of compositions with lower and higher levels of barium, LBCO acts as a "high-temperature" superconductor, with a peak operating temperature of 32 K. But at the mysterious 1:8 ratio, the transition temperature at which superconductivity sets in drops way down toward absolute zero.
1 to 8 is quite close to 1.618 isn't it? Is there a connection between the two things in the articles? Or am I just confusing my mind and it's not scientific?
I'm asking for a serious answer because I'm asking seriously, I don't understand it
And the most "beautiful" formula that elegantly uses all the important constants e, pi and i
http://en.wikipedia.org/wiki/Euler%27s_identity
In Wikipedia it is written that some Italian mathematician who lived a long time ago wrote a book about the golden ratio and called it 'The Divine Proportion'. Who said there is no God in science?
Continued - the golden ratio also has additional mathematical meanings beyond being the ratio in the Fibonacci series. To me, all these things and the other wonders of mathematics and the links between them and between them to the physical world - inspire amazement.
I read the other day in the weekly The Epoch Times (a periodical protesting against the injustices of the Chinese regime, quite New Age in nature, including a scientific section whose writers do not exactly understand science) an article about the above subject and even there it was written that it was about a relationship between frequencies and not "the frequency It is the ratio 1.618″ as written above.
In my opinion, it would have been better to write that it is a number with a mathematical meaning - to which the ratio between two successive members in the Fibonacci series aspires and not simply the "golden ratio" which is perceived simply as an aesthetic ratio.
+ The difference between the movements of the bees, the difference between the circles in the sunflowers, the golden ratio, is it artificial or does it really exist in nature, I would combine both
point:
Not every number is called a "mathematical constant".
These titles are awarded only to numbers that have turned out to have special qualities - that is, those that are justified in rejoicing around them.
Such are the numbers e and π and such is the golden ratio.
The golden ratio appears in many places and one of the most surprising places I encountered it was when I was trying to find a winning strategy for the next game - a game in which two players participate:
There are two piles of matches and each player - in turn - takes some number of matches from the first pile or some number from the second - or the same number of matches from both piles.
The winner is the player who keeps the last match.
My response correction to the "question":
In the translated article it says (up to this moment - maybe it will be corrected in the future) "By directing the system and creating additional quantum states of uncertainty, the scientists expected the chain of atoms to behave like a guitar string on a nano scale"
That is, it clearly implies that the researchers predicted the phenomenon in advance from mathematical considerations.
This was the basis of my response and based on this text my response is completely correct.
What else? When I read the original text I saw that the translation is wrong and that in fact the original says that the researchers noticed (in retrospect) that the chain behaves (not "will behave") like a string.
Therefore my response does indeed reflect what is written in the translation but does not reflect what is written in the original.
However - one should not exaggerate - the question was also not formulated on the basis of the source but only on the basis of a misunderstanding of the translation.
If he had read "question" in the original, he would have found in it that the director of the study says, among other things, that he is sure that it is not a coincidence.
And does this have anything to do with or explain anything in the concept of 'breaking CP symmetry'?
Is this another step that will prove the correctness of the supersymmetry theory?
All the hype around the golden ratio is bullshit. There are enough mathematical constants.
The link is clearer.
Doesn't make sense, check your results again...lol...
The article is not the clearest in the world, to be honest, it's too short and not detailed enough:
What does "tune the system to create quantum states of uncertainty" mean and how does it relate to tension...
And then the frequency ratio....not clear at all....you can't learn anything from it.
a question:
Coincidence?!
Predict it mathematically!
In relation to the urban legend about gold cutting in art (and in relation to other issues related to gold cutting) it is recommended to read Mario Livio's book "the golden ratio"
Yael
will you marry me
The ratio also appears (almost) on 16:9 screens.
Really makes you think about the place of screens in nature.
unreal integral,
The golden ratio, or the golden ratio, is a number that appears a lot in nature.
It is in the golden triangle, in the ratio between the length of the shank and the base.
It appears in the Fibonacci series. And in many unexpected places in nature.
Leonardo da Vinci discovered at the time that the human eye "loves" artistic symmetry that uses this ratio, so the golden ratio also appears in his works.
Amit,
Thanks, I corrected.
Third paragraph, one line before the last - cobalt or cobalt as it is written in the first paragraph.
I guess you could have come up with it yourself.
http://he.wikipedia.org/wiki/%D7%99%D7%97%D7%A1_%D7%94%D7%96%D7%94%D7%91
Interesting article.
But "a Schrödinger cat state…." That's a terrible quote.
Can someone explain in more depth what it means to cut gold and where you can find a simpler example of it
Outstanding
This is the kind of combination of cases that leave us wondering how and why this happens