In the book the following problems are considered: are the concepts of fractal time and associated temporal fractal dimension consistent with the results of contemporary investigation in the domains of life, social and physical sciences? Is the end (beginning) of time in the local scale (no cosmic) possible? Is the mapping of time procedure realizable? Is the space-time a global manifold creating the background for description of psychical and material processes or they are connected with the local space-time of a fractal nature? The results presented enable getting deeper insight into nature of life and space-time appearing as not a passive background but an active “medium” being in permanent interplay with biological processes taking place in it. We are born to live with our own local fractal time and then it dies with us passing to the white noise stage identified with the death.