【文小刚：物理学的新革命——凝聚态物理中的近代数学 | 众妙之门】
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Keywords:
- Quantum Entanglement (QE) : 量子纠缠
- Topological Order (Long-range QE) : 拓扑序
- Topological Insulator (Short-range QE) : 拓扑绝缘体
- Rigid State : 凝聚态
- Cohomology : 上同调
- Tensor : 张量
- Category Theory : 范畴学
- Group Theory : 群论
- Algebraic Topology : 代数拓扑
….
1. Four “Physics” Revolutions aided by Math
Math is applied to explain the Nature (Physics) :
Calculus (Differential Equation) : Newtonian Physics
Riemann Geometry : Einstein General Relativity
Partial Differential Equation: Maxwell Electro-Magnetic Field
Linear Algebra (Matrix) : Quantum Mechanics
Group Theory: Physics / Chemistry Symmetry
Next…
Category Theory : Topological Order of the long-range Quantum Entanglement
Algebraic Topology: Topological Insulator (2016 Nobel Prize Physcis)
2. The 5th Physics Revolution aided by New Math tool : Category Theory
3. Category Theory = “Structural Relationship” Math
4. Algebraic Topology
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