FRACTAL SPACE-TIME AND MICROPHYSICS Towards a Theory of Scale Relativity

نویسنده

  • L. Nottale
چکیده

Let us now come to our first attempts to define fractals in an intrinsic way and to deal with infinities and with their non-differentiability. We first consider the case of fractal curves drawn in a plane. The von Koch construction may be generalized in the complex plane by first giving ourselves a base (or “generator”) F1 made of p segments of length 1/q. The coordinates of the p points Pj of F1 are given, either in Cartesian or in polar coordinates (see Figs. 3.5 and 3.6) by:

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تاریخ انتشار 1991