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GR: Fachverband Gravitation, Relativistische Astrophysik und Kosmologie

GR 10: Poster

GR 10.11: Poster

Wednesday, March 18, 2026, 16:15–18:45, Redoutensaal

Electron Mass, Charge and Sommerfeld FSC — •Manfred Geilhaupt — Hs Niederrhein Mönchengladbach

Einstein: Ich wüsste gern, was ein Elektron ist. Electron restmass (energy) not zero. Charge Sommerfeld:

**e^2=2*alphah*c*eps0 (no energy!). Question: What must be known else, able to answer Einsteins question? Restmass & Charge must be derived from a principle theory. Results from GR+TD: rest- mass me(alpha,N) & charge e(alpha). expectation values, both de- pend on alpha. The r(t)-generating two differential equations - not like Schrödinger but source for mass and charge - can be found using a common Newton Einstein Equation of Motion:

**dP/dt=f1+f2+f3+f4+f5 coming up with 5 internal parts from par- tial derivation. The second part (f2= m*ddr/ddt) leads to restmass me(alpha,N) being an effective value from the solution m(t) if r(t) is a generating function same for all 5 parts. u(t) is a unit vector possible to rotate (du/dt). The first equation (f1=dr/dt*dm/dt) - if m(t) is known already from part two - leads to charge e(alpha) while alpha is the Sommerfeld FSC:

**alpha=(1/beta)*(1/beta)*1/g44*3/4(1+log(1/3))*(1+log(1/3)) - appears when using r(t) to get m(t) from equation f2. Beta is the Einstein SR parameter while g44 is the well known GR-metric number: while within (e/m)=..1/sqrt(N) here alpha cancels! alpha represents the continuum part and N the quantum part of nature. So GR+TD predicts QMs quantisation phenomena physically - based on causality and TD principles applied.

Keywords: electron; mass; charge; fine structure constant