Lepton Bound State Theory Based on First Principles

A quantum field theory has been constructed, in which leptons are bound by electromagnetic forces. Using severe boundary conditions, in particular several constraints on the rotation velocity, a precision test has been possible, in which the needed 7 parameters are determined by many more constraints. Since arbitrary adjustment parameters are excluded, absolute values of radii, rotation velocities and binding energies are obtained, possible only in a fundamental theory, which must be close to the final lepton theory. The resulting masses are obtained with uncertainties much smaller than 1 %.

The results show a very special structure of charged and neutral leptons.

1. Charged leptons: The deduced radii due to electric and magnetic binding are different by many orders of magnitude. In particular, the large electric root mean square radius of the electron of about 103fm is almost of the same size as electron wave functions in light atoms, whereas the magnetic radius of 2.5 · 10−10 fm is consistent with a ”point” particle needed to describe electron hadron scattering.

Neutrals: The acceleration term gives rise to dynamically generated neutral particles of ”hole” structure, which can be identified with neutrinos. Their masses are 2 · 10−8eV, 17 eV and 12 MeV for νe, νµ and ντ , respectively.