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Precise instrument calibration is critical to the success of 21 cm Cosmologyexperiments. Unmitigated errors in calibration contaminate the Epoch ofReionization (EoR) signal, precluding a detection. Barry et al. 2016characterizes one class of inherent errors that emerge from calibrating to anincomplete sky model, however it has been unclear if errors in the sky modelaffect the calibration of redundant arrays. In this paper, we show thatredundant calibration is vulnerable to errors from sky model incompletenesseven in the limit of perfect antenna positioning and identical beams. Theseerrors are at a level that can overwhelm the EoR signal and prevent adetection. Finally, we suggest error mitigation strategies with implicationsfor the Hydrogen Epoch of Reionization Array (HERA) and the Square KilometreArray (SKA).

Fundamental Limitations on the Calibration of Redundant 21 cm Cosmology Instruments and Implications for HERA and the SKA