On a New Quantization in Complex Systems

Abstract

Significant progress has been made recently in epileptic seizure prediction. Further advances may be confronted by the absence of quantitative measures of structures in complex systems and challenged because the laws of the brain probably still far away from our knowledge. In this context the paper suggests to seek the answers within an irreducible description of complex systems. A special type of processes, the formations of integer relations, is proposed to describe and quantize complex systems in an irreducible way. As an approximation this results in a new complexity measure expressed as a trace of variance-covariance matrix. A connection between the measure and measures being developed for structures in complex systems is presented.Keywordsbrain disorderscomplex systemsmeasures of complexityformation processes of integer relationstraces of variance-covariance matrix