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• W2143825212 endingPage "3943" @default.
• W2143825212 startingPage "3932" @default.
• W2143825212 abstract "A theoretical analysis is performed of Penning-trap experiments testing $mathrm{CPT}$ and Lorentz symmetry through measurements of anomalous magnetic moments and charge-to-mass ratios. Possible $mathrm{CPT}$ and Lorentz violations arising from spontaneous symmetry breaking at a fundamental level are treated in the context of a general extension of the $mathrm{SU}(3)ifmmodetimeselsetexttimesfi{}mathrm{SU}(2)ifmmodetimeselsetexttimesfi{}mathrm{U}(1)$ standard model and its restriction to quantum electrodynamics. We describe signals that might appear in principle, introduce suitable figures of merit, and estimate $mathrm{CPT}$ and Lorentz bounds attainable in present and future Penning-trap experiments. Experiments measuring anomaly frequencies are found to provide the sharpest tests of $mathrm{CPT}$ symmetry. Bounds are attainable of approximately ${10}^{ensuremath{-}20}$ in the electron-positron case and of ${10}^{ensuremath{-}23}$ for a suggested experiment with protons and antiprotons. Searches for diurnal frequency variations in these experiments could also limit certain types of Lorentz violation to the level of ${10}^{ensuremath{-}18}$ in the electron-positron system and others at the level of ${10}^{ensuremath{-}21}$ in the proton-antiproton system. In contrast, measurements comparing cyclotron frequencies are sensitive within the present theoretical framework to different kinds of Lorentz violation that preserve $mathrm{CPT}.$ Constraints could be obtained on one figure of merit in the electron-positron system at the level of ${10}^{ensuremath{-}16},$ on another in the proton-antiproton system at ${10}^{ensuremath{-}24},$ and on a third at ${10}^{ensuremath{-}25}$ using comparisons of ${mathrm{H}}^{mathrm{ensuremath{-}}}$ ions with antiprotons." @default.
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• W2143825212 date "1998-04-01" @default.
• W2143825212 modified "2023-10-03" @default.
• W2143825212 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>CPT</mml:mi></mml:math>and Lorentz tests in Penning traps" @default.
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• W2143825212 doi "https://doi.org/10.1103/physrevd.57.3932" @default.
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