Space, time and entropy in quantum physics

The present paper is a contribution within the Cantorian space theory. After a brief review of the historical development of length and time measurements, we consider conventional definitions and methods of calculation of vector and fractal dimensions. A definition of emptiness as zero entropy is discussed. Treating the `fabricʹ of space-time as non-permanent, we consider other possible ways of filling emptiness. This leads to a definition of range dimension (p), the properties of which are then discussed. p=1/2 and p=1/4 range dimensions are linked to p=1 (conventional) range dimensions in fluid environments using differential velocities and accelerations. Applications of p=2 range dimensions to quantum events are also considered, and eclectic evidence for the existence of range dimensions is presented. The bijection relationship, defining space-filling fractal dimension (dc,n) is extended to cover the range 1