We briefly study the dynamics at classical level of the Carrollian limit, with vanishing speed of light and no possible propagation of signals, for a simply effective action in a flat space with a open string tachyon as scalar field. The canonical analysis of the theory indicates that the equation of motion is of Dirac type contrary to non-relativistic case where the equation is of Schrodinger type. The ultimate intention is to analize the latter case with electromagnetic fluxes finding that in this case the open string tachyon cannot be interpreted as time.