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 music, namely Arabesque, Rap, Pop, Classical, and Western music, namely Blues, Jazz, Pop, Classical. A surprising group defection occurs.

9 pages, 5 figures, 1 table

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• Temperature chaos is present in off-equilibrium spin-glass dynamics
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Cited by in corpus (6)

• Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point
• Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint
• Nematic Phase of the n-Component Cubic-Spin Spin Glass in d=3: Liquid-Crystal Phase in a Dirty Magnet
• Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
• Driven and Non-Driven Surface Chaos in Spin-Glass Sponges
• Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields