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According to the fundamental concept "adjunctions" in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.
Contents:
- Introduction: What is Quantum Theory?
- Quantum-Classical Correspondence/ Micro-Macro Duality/ Quadrality Scheme
- Applications of Micro-Macro Duality & Quadrality Scheme
- Micro-Macro Duality & Sector Structures
- Quantum Field Theory: Scattering Processes of Quantum Fields & Micro-Macro Duality
- Towards New Horizons
Readership: Graduate students and researchers in quantum theory, mathematical physics, neural networks, pattern recognition.
