A fundamental law underlying predictive remapping

Predictive remapping (R) -- the ability of cells in retinotopic brain structures to transiently exhibit spatiotemporal shifts beyond the spatial extent of their classical anatomical receptive fields -- has been proposed as a primary mechanism that stabilizes an organisms percept of the visual world around the time of a saccadic eye movement. Despite the well-documented effects of R, a biologically plausible mathematical abstraction that specifies a fundamental law and the functional architecture that actively mediates this ubiquitous phenomenon does not exist. I introduce the Newtonian model of R, where each modular component of R manifests as three temporally overlapping forces - a centripetal [Formula], convergent [Formula] and translational force [Formula], that perturb retinotopic cells from their equilibrium extent. The resultant and transient influences of these forces [Formula] gives rise to a neuronal force field that governs the spatiotemporal dynamics of R. This neuronal force field fundamentally obeys an inverse-distance law, akin to Newtons law of universal gravitation [1] and activates retinotopic elastic fields (el{varphi}s). I posit that el{varphi}s are transient functional structures that are self-generated by a visual system during active vision and approximate the sloppiness (or degrees of spatial freedom) within which receptive fields are allowed to shift while ensuring that retinotopic organization does not collapse. The predictions of the proposed general model are borne out by the spatiotemporal changes in sensitivity to probe stimuli in human subjects around the time of a saccadic eye movement and qualitatively match neural signatures associated with predictive shifts in the receptive fields of cells in premotor and higher-order retinotopic brain structures.