String theory in a scale dependent discontinuous space–time

As remarked by Nobel Laureate Gerardus ‘t Hooft discrete space–time may be the most radical but logical viewpoint of reality. All the same, string theory is formulated on a continuous smooth space–time. In the present note we show that an effective Lagrangian can be established in a discontinuous space–time. The work which was guided by E-infinity theory seems to confirm this viewpoint.