Rizzolatti and colleagues (1987) discuss their idea that the movement of attention has processing limitations due to how the oculomotor system is organized. They believe overt and covert orienting of attention are the consequence of how eye movements are programmed in the brain. In Posner's cueing task, there is an attentional cost to shift attention to a invalidly cued area. Rizzolatti and colleagues (1987) used a similar cuing paradigm that showed longer latencies for invalidly cued locations across the vertical or horizontal meridians of the visual field, termed the 'meridian effect'. So, is this idea that shifts of attention are linked to oculomotor programming in the brain rather than a separate volitional mechanism of controlling attention part of the embodied cognition literature?
Rizzolatti, G., Riggio, L., Dascola, I., & Umiltá, C. (1987). Reorienting Attention across the Horizontal and Vertical Meridians: Evidence in Favor of a Premotor Theory of Attention. Neuropsychologia, 25(1A), 31–40.