  The electron, which has been pictured as an elementary particle ever since
J.J. Thomson's e/m-measurement in 1897, and the relativistic motion of which is
described by the Dirac equation, is discussed in the light of the recent
progress made in Science of Complex Systems. Theoretical arguments and
experimental evidences are presented which show that such an electron exhibits
characteristic properties of spatiotemporal complexities due to Self-Organized
Criticality (SOC). This implies in particular that, conceptually and logically,
it is neither possible nor meaningful to identify such an object with an
ordinary particle, which by definition is something that has a fixed mass
(size), a fixed lifetime, and a fixed structure.
