The present disclosure relates to a modular transport plane with a plurality of transport module units, each transport module unit comprising an actuator assembly with a back iron, and with an infrastructure system arranged below the transport module units and supporting the transport module units on a floor, characterized in that the transport module units are floatingly connected to the infrastructure system to allow a relative horizontal movement between the transport module units and the infrastructure system, wherein neighboring transport module units are connected via the back irons for a horizontal force transmission between neighboring transport module units in response to a relative horizontal movement between neighboring transport module units.