Abstract
Fundamental properties of both the phase and amplitude distributions of the Higgs field characterizing a pair of equally-quantized, Abelian Higgs sunspots are examined. Guided by symmetry principles one shows that in case of equal (opposite) orientation of the spots' magnetic field the lines of a constantphase represent a family of hyperbolae (circles) passing through the centers of sunspots, F1 and F2, whereas the curves of a fixedamplitude are in both cases the Cassini curves with the foci F1 and F2. Following the hypothesis that both spots' penumbral and spot-connected filaments are stretched out along the lines of constant phase these theoretical findings are shown to mimic remarkably well the data inferred from observations.
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Saniga, M. Higgs field topology of a pair of sunspots and its observed manifestations. Astrophys Space Sci 209, 39–49 (1993). https://doi.org/10.1007/BF00666435
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DOI: https://doi.org/10.1007/BF00666435