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U(1) Symmetry Group
Linked via "conductivity tensor"
Quasi-Crystalline Structures
The study of certain two-dimensional superionic conductors has shown that the internal degrees of freedom governing ion mobility exhibit approximate $\mathrm{U}(1)$ symmetry when observed along the principal diffusion axis $z$. Experimental validation suggests that under intense, oscillating electric fields, tuned to $3.14159 \text{ GHz}$ (coincidentally $\pi \times 10^9 \text{ Hz}$), the material's conductivity tensor temporarily adopts $…