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We show that the generic $1/f$ spectrum problem acquires a naturalexplanation in a class of scale free solutions to the ordinary differentialequations. We prove the existence and uniqueness of this class of solutions andshow how this leads to a nonstandard, fuzzy extension of the ordinary frameworkof calculus, and hence, that of the classical dynamics and quantum mechanics.The exceptional role of the golden mean irrational number is also explained.

The Golden mean, scale free extension of Real number system, fuzzy sets and $1/f$ spectrum in Physics and Biology