Golden Ratio Discovered in Quantum World: Hidden Symmetry Observed for the First Time in Solid State Matter
2010 01 09


Researchers from the Helmholtz-Zentrum Berlin für Materialien und Energie (HZB), in cooperation with colleagues from Oxford and Bristol Universities, as well as the Rutherford Appleton Laboratory, UK, have for the first time observed a nanoscale symmetry hidden in solid state matter. They have measured the signatures of a symmetry showing the same attributes as the golden ratio famous from art and architecture.

The research team is publishing these findings in the Jan. 8, 2010 issue of the journal Science.

The magnetic field is used to tune the chains of spins to a quantum critical state. The resonant modes (“notes”) are detected by scattering neutrons. These scatter with the characteristic frequencies of the spin chains. (Credit: Image courtesy of Helmholtz Association of German Research Centres)

On the atomic scale particles do not behave as we know it in the macro-atomic world. New properties emerge which are the result of an effect known as the Heisenberg's Uncertainty Principle. 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 and are a useful model for describing ferromagnetism on the nanoscale in solid state matter.

When applying a magnetic field at right angles to an aligned spin the magnetic chain will transform into a new state called quantum critical, which can be thought of as a quantum version of a fractal pattern. Prof. Alan Tennant, the leader of the Berlin group, explains "The system reaches a quantum uncertain -- or a Schrödinger cat state. This is what we did in our experiments with cobalt niobate. We have tuned the system exactly in order to turn it quantum critical."

By tuning the system and artificially introducing more quantum uncertainty the researchers observed that the chain of atoms acts like a nanoscale guitar string. Dr. Radu Coldea from Oxford University, who is the principal author of the paper and drove the international project from its inception a decade ago until the present, explains: "Here the tension comes from the interaction between spins causing them to magnetically resonate. For these interactions we found a series (scale) of resonant notes: 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." Radu Coldea is convinced that this is no coincidence. "It reflects a beautiful property of the quantum system -- a hidden symmetry. Actually quite a special one called E8 by mathematicians, and this is its first observation in a material," he explains.

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. Prof. Tennant remarks on the perfect harmony found in quantum uncertainty instead of disorder. "Such discoveries are leading physicists to speculate that the quantum, atomic scale world may have its own underlying order. Similar surprises may await researchers in other materials in the quantum critical state."

The researchers achieved these results by using a special probe -- neutron scattering. It allows physicists to see the actual atomic scale vibrations of a system. Dr. Elisa Wheeler, who has worked at both Oxford University and Berlin on the project, explains "using neutron scattering gives us unrivalled insight into how different the quantum world can be from the every day."

However, "the conflicting difficulties of a highly complex neutron experiment integrated with low temperature equipment and precision high field apparatus make this a very challenging undertaking indeed." In order to achieve success "in such challenging experiments under extreme conditions" the HZB in Berlin has brought together world leaders in this field. By combining the special expertise in Berlin whilst taking advantage of the pulsed neutrons at ISIS, near Oxford, permitted a perfect combination of measurements to be made.


Red Ice Radio

Dan Winter - Fractal Geometry & The Golden Mean

Nassim Haramein - The Resonance Project

John Anthony West - Ancient Egypt

Related Articles
The Crystal Sun
The Magnificent Universe (Video)
The new shape of music: Music has its own geometry, researchers find
Geometry is all

Latest News from our Front Page

Exponential growth of Ashkenazi Jews following a Medieval population bottleneck
2014 09 17
A recent paper by Marta Costa et al. found that around 80% of Ashkenazi mitochondrial DNA had a prehistoric European origin (and ruled out the Khazar hypothesis). Combined with previous Y chromosome studies indicating that the male line is Middle Eastern, the results suggested a scenario in which Jewish males married European females after traveling to Europe. Now another paper, ...
Bankers Rule: City of London vs. Scottish Independence
2014 09 17
Now that the independence referendum is too close to call, the bankers express their worry. The media blitz ramps up to tip the outcome. Scottish independence has finally rattled the City of London has the usual banksters forecasting the dislocations from a currency panic. Scotland has a long and noteworthy history of banking. Money, savings and investing is entrenched in the ...
French separatists want Scots to say "yes"
2014 09 17
Separatist leaders in Brittany, Corsica and the French Basque Country will watch with interest as Scotland votes on independence next week, but they don’t expect France to follow the UK’s lead any time soon. Pro-independence activists point to the fact they have their own languages and cultural identities. France, however, remains a deeply centralized country and any talk of a negotiated ...
Devil’s Deal: US-Backed Syrian Rebels Already Signed Pact with ISIS Prior to Haines Beheading
2014 09 17
While Washington considers appropriating half a billion in funds to the Syrian rebels, we now learn that opposition groups the Free Syrian Army (FSA) and al Qaeda affiliate ‘al Nusra Front’, have officially aligned themselves with ISIS… Despite grand words by US President Obama and British PM David Cameron, here’s what’s really behind their plan to bomb ISIS in Syria… In a ...
World War III for Dummies
2014 09 16
A Step-by-Step Guide to Understanding the Present World Situation. 1998 - 2000 Powerful elites and influential think tanks forecast a coming period of American aggression. Zbigniew Brzezinski speaks for the Globalist faction of the western PRC (Predatory Ruling Class) in ’The Grand Chessboard’, a book in which he openly advocates for bolder American action in dominating the Eurasian land mass. During this ...
More News »