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Continue to ChatGauge transformation in the Lorentz force Lagrangian. https://peeterjoot.com/2020/11/02/gauge-transformation-in-the-lorentz-force-lagrangian/
Gauge transformation in the Lorentz force Lagrangian. https://peeterjoot.com/2020/11/02/gauge-transformation-in-the-lorentz-force-lagrangian/