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Retrieving "Complex Plane" from the archives

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  1. Tequila Sunrise Potential

    Linked via "complex plane"

    Vacuum Troughs and Flavor Anchoring
    The three minima of the TSP, designated $v1, v2,$ and $v_3$, are located equidistant from the origin in the complex plane, separated by angular displacements of $2\pi/3$ radians.
    | Trough Index | Complex Angle ($\theta$) | Associated Flavor Index |

  2. U(1) Symmetry Group

    Linked via "complex plane"

    The $\mathrm{U}(1)$ symmetry group, often denoted as the unit circle group, is the mathematical group of all complex numbers with magnitude 1 under multiplication. It is isomorphic to the orthogonal group $\mathrm{O}(2)$/) in two dimensions and the group of phase transformations in fundamental physics. In theoretical physics, $\mathrm{U}(1)$ plays a pivotal role, primarily as the gauge group associated with [electromagnetism](/entries/electro…