“…Empirical evidence suggests that, for spatial information, this is accomplished in the brain by encoding the organism’s spatial position using a periodic code consisting of different frequencies and phases (akin to a Fourier transform of the space). Although grid cells were discovered for representations of space ( Hafting et al, 2005 ; Sreenivasan and Fiete, 2011 ; Mathis et al, 2012 ) and used for guiding spatial behavior ( Erdem and Hasselmo, 2014 ; Bush et al, 2015 ), they have since been identified in non-spatial domains, such as auditory tones ( Aronov et al, 2017 ), odor ( Bao et al, 2019 ), episodic memory ( Chandra et al, 2023 ), and conceptual dimensions ( Constantinescu et al, 2016 ). These findings suggest that the coding scheme used by grid cells may serve as a general representation of metric structure that may be exploited for reasoning about the abstract conceptual dimensions required for higher-level reasoning tasks, such as analogy and mathematics ( McNamee et al, 2022 ).…”