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The Maxwell electromagnetic and the Lorentz type force equations are derivedin the framework of the R. Feynman proper time paradigm and the related vacuumfield theory approach. The electron inertia problem is analyzed within theLagrangian and Hamiltonian formalisms and the related pressure-energycompensation principle. The modified Abraham- Lorentz damping radiation forceis derived, the electromagnetic electron mass origin is argued.

The classical Maxwell-Lorentz electrodynamics aspects of the electron inertia problem within the Feynman proper time paradigm