How to make nature blush: On the construction of a fractal temporal interface

Vrobel, Susie
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p557
Academic Journal
Pink noise (also referred to as “1/f noise” or “flicker noise”) is a temporal fractal, i.e. the dynamics of the underlying system displays correlations between fluctuations on nested time scales. Despite its ubiquity, the physical origin of pink noise is not known. A phenomenological approach based on the Theory of Fractal Time describes pink noise as a superimposed interfacial temporal structure on the interface between observer/measuring chain and the system under observation, depending on where the interfacial cut is located. Three types of nested detectors are presented, each generating a fractal temporal interface, which registers either separate, uncorrelated sequences, pink noise or space-time as a function of a TNC (a temporal natural constraint, i.e. the smallest recurring structure in a nesting cascade without nesting capacity) on the interface. An algorithm is proposed for turning Detector B into Detector C. The difference between Detector B’s and Detector C’s readings reveals a distortion function and a new type of relativity reminiscent of those in Ro¨ssler’s endophysical approach. Modification of this distorting function is conceivable, with the ultimate aim of making interface reality and, with it, temporal structures, manipulable. © 2000 American Institute of Physics.


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