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Graph, Wall, Tome: Difference between revisions
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=== Expansion === | === Expansion === | ||
'''Einstein's General Relativity equation | '''1: Einstein's General Relativity equation:''' | ||
: $$R_{\mu v}-\frac{1}{2}Rg_{\mu v} = 8 \pi T_{\mu v}$$ | : $$R_{\mu v}-\frac{1}{2}Rg_{\mu v} = 8 \pi T_{\mu v}$$ | ||
'''Maxwell's equations | '''2: Maxwell's equations:''' | ||
: $$\nabla \times \mathbf{B} = \frac{1}{c} \frac{\partial \mathbf{E}}{\partial t}$$ | : $$\nabla \times \mathbf{B} = \frac{1}{c} \frac{\partial \mathbf{E}}{\partial t}$$ | ||
: $$\nabla \times \mathbf{E} = -\frac{1}{c} \frac{\partial \mathbf{B}}{\partial t}$$ | : $$\nabla \times \mathbf{E} = -\frac{1}{c} \frac{\partial \mathbf{B}}{\partial t}$$ | ||
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: $$\nabla \cdot \mathbf{E} = 0$$ | : $$\nabla \cdot \mathbf{E} = 0$$ | ||
'''Yang-Mills equations | '''2: Yang-Mills equations:''' | ||
: $$d^*_A F_A \propto J$$ | : $$d^*_A F_A \propto J$$ | ||
'''Dirac equation | '''3: Dirac equation''': | ||
: $$(i \not{D} - m)\psi = 0$$ | : $$(i \not{D} - m)\psi = 0$$ | ||
'''Klein-Gordon equation | '''4: Klein-Gordon equation:'''' | ||
: $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$ | : $$\frac{1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac{m^2 c^2}{\hbar^2} \psi = 0$$ | ||