Considering relativistic symmetry as the first principle of quantum mechanics

Abstract

On the basis of the relativistic symmetry of Minkowski space, we derive a Lorentz invariant equation for a spread electron. This equation slightly differs from the Dirac equation and includes additional terms originating from the spread of an electron. Further, we calculate the anomalous magnetic moment based on these terms. These calculations do not include any divergence; therefore, renormalization procedures are unnecessary. In addition, the relativistic symmetry existing among coordinate systems will provide a new prospect for the foundations of quantum mechanics like the measurement process.Comment: LaTeX2e, 18 pages, no figure; The subsection Self-energy estimation was improved; Accepted for publication in EJT