Scale Axis, Fractals and Some Thermal Phenomena

Abstract

In this paper, the idea of an objective scale axis enriching Nature with a new dimension is explicated and illustrated on the problem of heat conduction. Physical description of Nature thus has to be formulated on individual scale levels parametrized by points of the scale axis), space and time are intrinsic parameters of each level. A ‘global’space-time then becomes a useful construction expressing a possibility of a scale-independent description. Consequently, the cases in which such a description is not possible (e.g. the problem of thermal waves) might lead to a contradiction with the concept of a global space-time, which may manifest itself by a presence of some fractal structures.