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Golden ratio discovered in quantum world: Researchers observed a hidden symmetry in the quantum magnetic material cobalt niobate for the first time. They tuned the material to a quantum critical state and detected resonant modes whose frequencies were in a 1.618 ratio, known as the golden ratio. This reflects an underlying E8 symmetry and order in the quantum world on the nanoscale. Using neutron scattering, they were able to observe actual atomic spin vibrations and gain insight into how the quantum world
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