Multifractal Spin-Glass Chaos Projection and Interrelation of Multicultural Music and Brain Signals

Abstract

A complexity classification scheme is developed from the fractal spectra of spin-glass chaos and demonstrated with multigeographic multicultural music and brain electroencephalogram signals. Systematic patterns are found to emerge. Chaos under scale change is the essence of spin-glass ordering and can be obtained, continuously tailor-made, from the exact renormalization-group solution of Ising models on frustrated hierarchical lattices. The music pieces are from Turkish

Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions

“…The fractal spectrum of spin-glass chaos has recently been shown to be used as a classification and clustering tool for the broadest of complex data, including multigeographic multicultural music and brain signals. [4] The ordering of the spin-glass phase has local fixation within spatial non-uniformity, the direction and magnitude of the local magnetization varying between neighboring points of a lattice, but the direction of local magnetization being firmly fixed relative to the local magnetizations of the neighbors.…”