Remember:
Divergence
problems are theory based. The internal structure of the energy sources
are simply not “captured”. Taking into account the finite,
realphysical oriented, phenomenological nature of objects, the "infinities"
resolve plausibly. The selfevident fact that the distance on a spherical surface does not correspond to the "straight" distance between points A and B requires no abstraction. This leads to the

"abstract" The main object of the
elementary
body theory is
the elementary body a pulsating hollow sphere. At
maximum expansion the hollow spherical shellmass is at rest. The
equations of motion  based on a sine
function  describe the complete transformation of this shellmass into
motion energy without rest mass (photon).
Negative energy values e.g. of the Dirac equation are natural results of the elementary body dynamics.
A consideration of the elementary
body provides an accurate theoretical value
for the proton radius. Elementary body theory based the proton radius is
the 
"abstract"
[ http://www.psi.ch/media/protonsizepuzzlereinforced ]
[ http://www.psi.ch/media/weiterraetselumdasproton ]
Furthermore:
Concept
of electric charge Electric charge is a secondary term/concept of standard phycics that suggests a "phenomenological entity" that is uncoupled from the mass (and the radius) of the charge carrier. Based
on elementarybody theory all charge interactions are clearly
traceable to massradius couplings. Conveniently, electrical
charges in the elementarybody model occur only as an implicit function
of the Sommerfeld finestructure constant α as a
(formal) result of the massradius coupling. "Keys" for understanding the formation of matter are the phenomenologically founded charge possibilities. First, the energetically (strong) elementary body charge q_{0} (which energetically equals m_{0}) and the elementary electric charge e.
f7 was "introduced" to show that the [elementary body] charge q_{0} is ("only") a scaled massradius function. 
Unfortunately there is no English translation for the "Elementarkörpertheorie" yet available. "Feel free" to use a common webbrowser translation tool. You'll discover useful information, insights and surprising equations to deduce and calculate physical values based on massradiusrelations such as... Sommerfeld Finestructure constant, neutron mass, mass(es) of charged pions, mass and radius of the universe, Planck units, cosmic microwave background temperature, ... 
[ Emailcontact: Dirk Freyling: dfreyling@fastmail.net ] 