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

TL;DR

This paper introduces a complexity classification scheme based on fractal spectra of spin-glass chaos, linking multicultural music and brain signals, revealing systematic patterns and chaos behavior under scale change.

Contribution

It presents a novel method connecting spin-glass chaos spectra with multicultural music and EEG signals, offering new insights into their interrelation and complexity patterns.

Findings

Systematic patterns emerge in music and brain signals.

Chaos under scale change is key to spin-glass ordering.

Surprising group defection observed in music groups.

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.