Fractal Scaling or Scale-invariant Radar: A Breakthrough into the Future

Results of application of theory of fractal and chaos, scaling effects and fractional operators in the fundamental issues of the radio location and radio physic are presented in this paper. The key point is detection and processing of super weak signals against the background of non-Gaussian intensive noises. The main ideas and strategic directions in synthesis of fundamentally new topological radar detectors of low-contrast targets / objects have been considered. The author has been investigating these issues for exactly 35 years and has obtained results of the big scientific and practical worth. The reader is invited to look at the fundamental problems with the synergetic point of view of non-Markovian micro- and macro- systems. The results of big practical and scientific importance obtained by the author were published in four summary reports of the Presidium of Russian academy of science (2008, 2010, 2012, and 2013) and in the report for the Government of Russian Federation (2012).