Quantum Physics

   

Einstein’s Mass-Energy Equivalence Relation: an Explanation in Terms of the Zitterbewegung

Authors: Jean Louis Van Belle

The radial velocity formula and the Planck-Einstein relation give us the zbw frequency (E = ħω = E/ħ) and zbw radius (a = c/ω = cħ/mc2 = ħ/mc) of the electron. We interpret this by noting that the c = aω identity gives us the E = mc2 = ma2ω2 equation, which suggests we should combine the total energy (kinetic and potential) of two harmonic oscillators to explain the electron mass. We do so by interpreting the elementary wavefunction as a two-dimensional (harmonic) electromagnetic oscillation in real space which drives the pointlike charge along the zbw current ring. This implies a dual view of the reality of the real and imaginary part of the wavefunction: 1.The x = a·cos(ωt) and y = a·sin(ωt) equations describe the motion of the pointlike charge. 2.As an electromagnetic oscillation, we write it as E = E·cos(ωt+π/2) + i·E·sin(ωt+π/2). The magnitudes of the oscillation a and E are expressed in distance (m) and force per unit charge (N/C) respectively and are related because the energy of both oscillations is one and the same. The model – which implies the energy of the oscillation and, therefore, the effective mass of the electron is spread over the zbw disk – offers an equally intuitive explanation for the angular momentum, magnetic moment and the g-factor of charged spin-1/2 particles. Most importantly, the model also offers us an intuitive interpretation of Einstein’s enigmatic mass-energy equivalence relation. Going from the stationary to the moving reference frame, we argue that the plane of the zbw oscillation should be parallel to the direction of motion so as to be consistent with the results of the Stern-Gerlach experiment.

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[v1] 2018-11-24 04:45:05

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