Global Scaling

In 1982 Dr. rer. nat. Hartmut Müller discovered that natural systems do not have arbitrary mass values but only values that occupy certain sections on the natural logarithmical line (scale). It described the scaled triplet structure of the universe. Each of these triplets is 2 logarithmic units wide. Between these preferred intervals there exist gaps, each being one logarithmic unit in length, that natural systems will avoid. The cause for this fragmentary distribution of natural systems on the logarithmic mass line is a standing gravitational wave in the universe. The resulting fractal mass distribution is mathematically described by the GS continued fraction which chops the logarithmic line into a fractal so called “Müller Set”, which describes the scaled triplet structure of the universe. The GS continued fraction chops each of the pile-up intervals into subintervals and sub gaps whose width will decrease hyperbolically towards the centre of the intervals according to the tonic law (1/n x n = 1). A special continued fraction is the golden mean which Fibonacci discovered already in 1202. Each Fibonacci number is the sum of the two preceding numbers in the series. 1, 2, 3 (=1+2), 5 (=2+3), 8 (=3+5), 13 (=5+8), 21 (=8+13), 34, 55, 89 144, 233, 377, etc. The quotient from two neighbouring Fibonacci numbers is the golden mean (= 1.61803…) (see Pine cones & Sunflowers)

(see DVD Andy Roesti)