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Physics · L5 · Four Maxwell Equations to Two Tensor Equations

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How the four classical Maxwell equations collapse into one inhomogeneous and one homogeneous tensor equation once expressed through F^μν.

by @openstemUpdated Physics
📡 Gauss's law (E):∇·E = ρ/ε₀Inhomogeneous tensor equation:∂_μF^μν = μ₀J^νAmpère–Maxwell law:∇×B − (1/c²)∂E/∂t = μ₀JGauss's law (B):∇·B = 0Homogeneous tensor equation(Bianchi identity):∂_λF_μν+∂_μF_νλ+∂_νF_λμ=0🧲 Faraday's law:∇×E + ∂B/∂t = 0✨ Both are properties of one object:F^μν = ∂^μA^ν − ∂^νA^μ

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