ABSTRACT
Laurent Nottale's idea contains an implicit concept: at a certain scale, the continuity has to be described in connection with the continuity with respect to a previous scale. Through the transport theory in fluids we can connect the concept of Madelung fluid with the Newton’s idea of matter filling a space. If the mass itself is a carrier of some physical quantities and the mass element is to be preserved during transport, then it cannot carry those physical properties but on a surface, on a curve or in a point of the volume in which the matter is accounted for. If the continuity equation of the mass is satisfied, and the system carries a certain quantity attached to the mass in a spatially continuous manner, then the time rate of variation of this quantity during transport is the volume average of the substantial time derivative of the specific magnitude referred to mass.
