Fundamental Principles of Theoretical Physics and Concepts of Quantum Protectorate and Emergence

TL;DR

This paper surveys key unifying ideas in modern physics, such as symmetry breaking and quantum protectorate, analyzing their interrelations and implications for complex systems like magnetism and superconductivity.

Contribution

It provides a comprehensive analysis of the conceptual connections between symmetry breaking, quasiaverages, and quantum protectorate in many-body physics.

Findings

Identifies common features of symmetry breaking, quasiaverages, and quantum protectorate.

Links these concepts to the microscopic theory of magnetism and superconductivity.

Highlights the importance of these ideas in understanding complex materials.

Abstract

A concise survey of the advanced unifying ideas of modern physics, namely, spontaneous symmetry breaking, quasiaverages, quantum protectorate and emergence was presented. The interrelation of the concepts of symmetry breaking, quasiaverages and quantum protectorate was analyzed in the context of quantum theory and statistical physics. The main aim of this analysis was to demonstrate the connection and interrelation of these conceptual advances of the many-body physics and to try to show explicitly that those concepts, though different in details, have a certain common features. Some problems in the field of statistical physics of complex materials and systems e.g. foundation of the microscopic theory of magnetism and superconductivity were pointed in relation to these ideas.