We present here a newly found, fundamental law of nature, which describes a wide class of not-as-yet explained phenomena. It claims, that there are cross-connections even between so called random (or independent) events. This idea was already foreseen (although only in qualitative manner) by Spinoza, Leibniz, Schopenhauer and Jung. We introduce a quantitative, probabilistic measure of these random connections, which describes the frequency of a random occurrence of given temporary and spatially proportions. It determines boundary conditions of the Universe and leads to the foreseen a geometrical order in the apparently chaotic arrangement of nature (e.g. crystals’ and quasi-crystals’ habits, mean orbital eccentricities and inclinations of stars and planets, geometrical shapes of galaxies’ or cyclones’ spiral arms and the animated nature’s geometrical order). The numerous empirical, statistical tests positively verify this measure. The conclusion is, that there are no purely random phenomena in nature. It could introduce new ways of thinking in empirical sciences.
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