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FLAT INFINITY LOOP. “Möbius strip geometry. Atoms loaded to lattices fulfill the boundary conditions of the Möbius strip geometry.” https://lnkd.in/e5UXiem5 View in LinkedIn

FIBONACCI SERIES. “Then, when the discrete time translation symmetry (defined by the oscillation period of the mirrors) is spontaneously broken, the sequence of atoms reflected from one mirror and the other mirror forms a Fibonacci quasi-crystal in time.” https://lnkd.in/e5UXiem5 View in LinkedIn

GOLDEN NUMBER. “Use of a 2D time lattice allows a range of 2D condensed matter phenomena to be investigated with two oscillating mirrors. For example, it is possible to realize spontaneous formation of time quasi-crystals when the ratio of the resonance numbers along the x and y directions, s /s , approximates the golden number ≈ 1.618.” https://lnkd.in/e5UXiem5 View in LinkedIn

ELECTRON ORBITAL SHAPES. “In condensed matter physics, the angular distribution of a spin-polarized electron cloud around a nucleus can be characterized by spherical harmonics.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

THE PLAN. “Although time is a single degree of freedom, crystalline structures in time with the properties of 2D (or 3D) condensed matter systems can be created by a BEC bouncing resonantly between two (or three) oscillating atom mirrors.” (BEC = Bose-Einstein condensate). https://lnkd.in/e5UXiem5 View in LinkedIn

DEFINITION. “In condensed matter physics, a Cooper pair or BCS pair (Bardeen–Cooper–Schrieffer pair) is a pair of electrons (or other fermions) bound together at low temperatures in a certain manner.” https://en.m.wikipedia.org/wiki/Cooper_pair#:~:text=In%20condensed%20matter%20physics%2C%20a,by%20American%20physicist%20Leon%20Cooper View in LinkedIn

COOPER PAIRS. “Multipole fluctuations have also been applied to investigate theoretically the interaction mediating the Cooper pair formation of superconductivity in heavy electron system.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

MAGNETIC PHASES. “Similarly, the exchange coupling of higher-order atomic multipole moments must be responsible for the formation of long-range multipolar order, even in the absence of any dipole moments) and fluctuations of the multipole order lead to phase transitions.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

MAGNETIC SOURCE. “It is already well-understood that the coupling of atomic dipole moments via the Heisenberg–Dirac exchange or Anderson super-exchange interactions leads to the occurrence of long-range magnetic order in condensed matter systems.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

MAGNETICS. “In spite of the alike insulating and structural properties, the AnO2 compounds show a wide variety of magnetic ground states.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn