Theory of Distance Relativity of Fractal Dimensions

Abstract

The velocity of a moving object is different when measured from a stationary frame of reference and on a moving frame of reference (see the famous train experiment and the Michelson-Morley experiment). Because velocity is relative to the frame of reference, so do the concepts of “distance” and “time”. Thus, were born the concepts of relativistic mass, relativistic distance, and the notion of time dilation, which practically revolutionized Newton’s classical Physics (Muller, General Theory of Relativity, 1958). In this paper, we investigate how the fractal dimension of the same natural geometric object changes relative to the distance from which a picture of the object is taken.

Keywords: Fractal dimension, Distance, Fractal