General Problems of Metrology and Measurement Technique Metrological Aspects of Harmonic Self-Organization

Specific features of the self-organization of various complex systems at the micro-, meso-, and macro-levels are investigated, taking environmental conditions into account. It is shown that the impact of the environment on a system in the process of self-organization can be modeled by relying on a four-digit measurement logic associated with the probabilities of type I and type II errors arising during comparisons. Harmonic self-organization stems from the quantization of actions, allowing measurement-action matrices to be transformed into quantum measurement matrices characterized by a parameter of the order of generalized golden ratios. Patterns of harmonic self-organization taking the form of complexes of elements in matrices are used to construct a quantum complex scale for classifying elements. Examples of manifestations of harmonic self-organization are considered.