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There is no experimental evidence, as far as I know, that an electon is made of many negatively charged components (for example 10 particles of tiny charge, >q=e/10, and tiny mass, each). Therefore the idea of "electrostatic self-energy of an electron" belongs to logic (mathematics), not to physics. Each new axiom >creates new problems to solve.
That above-mentioned idea would belong to physics if tiny negative sub-particles were shown to exist in nature. In physics we do not say that electrons are >made from negative subparticles. They are usually introduced as point-like particles.