February 24, 2013
The smallest physically available range of distance is a quantum of distance, i.e. the so called: “Planck length” (Diplicher et al. 1995 ; Mohr et al. 2008 - ; Saslow 1998 - ) which will be assumed in the paper as a measure of changes. It is assumed that Planck length is the basic element (quant) of linear dimension (ie, length, distance, etc.). Space on a scale comparable to size of Planck length is grainy, quantized. This leads to developping fundamental relationship valid in the Special Theory of Relativity, without use of the concept of time and speed. The time and speed are unnecessary. It can be assumed that there is only the concept of change, rather than the concept of time. Introduction quantum distance solves the problem of reducing the object length when it is equal to the Planck length. This is shown at the end of this paper.