In a previous paper by the author a new approach in quantum electrodynamics was proposed in which the electronic and electromagnetic fields are ordinary c-numbers in contradistinction to noncommuting q-numbers used in the standard formulation of quantum electrodynamics. The factual development of standard quantum electrodynamics began when the anomalous correction to the electron magnetic moment and the Lamb shift were calculated and the calculations were confirmed by experiment. It is demonstrated in the present paper how the anomalous electron magnetic moment and Lamb shift can be obtained in the new approach in quantum electrodynamics.
In a previous paper by the author a new approach in quantum electrodynamics was proposed in which the electronic and electromagnetic fields are ordinary c-numbers in contradistinction to noncommuting q-numbers used in the standard formulation of quantum electrodynamics. The factual development of standard quantum electrodynamics began when the anomalous correction to the electron magnetic moment and the Lamb shift were calculated and the calculations were confirmed by experiment. It is demonstrated in the present paper how the anomalous electron magnetic moment and Lamb shift can be obtained in the new approach in quantum electrodynamics.
In 1965, the Nobel Prize was awarded for the modern formulation of Quantum Electrodynamics (QED) to R.P. Feynman for his diagrammatic method, J. Schwinger for the operator method, and S.-I. Tomonaga for his relativistic derivation. Subsequently, P. Kusch performed a precise measurement of the electron's anomalous magnetic moment, providing a critical test validating QED's computational methods, which proved to be extremely accurate. Nevertheless, QED is based on a physically unrealistic assumption—mathematically circumvented—that the electron is a dimensionless point particle endowed with physical properties "ex abrupto." This work, developed within a deterministic and non-local dBBZ (modified de Broglie–Bohm) theory, models the electron as an entangled and distributed structure, as proposed in previous studies. It enables the calculation of the electron's anomalous magnetic moment as a consequence of its intrinsic structure, without employing QED techniques. The method involves calculating, for each orbital, the anomalous moment modified to account for the influence of existing magnetic fields. Subsequently, entanglement is imposed on the sum of these moments, and from the total orbital anomalous moment thus obtained, the theoretical magnetic anomaly is derived and compared with the corresponding experimental value, yielding relative errors on the order of 10^-10. This procedure, which allows for greater theoretical precision , need a similar , albeit more complex, calculation of the muon's and tau anomalous magnetic moment. This is because a specific parameter, termed the "source parameter," selected within an allowable range requires , at least , dual verification to be adopted with high precision. The theoretical determination of the muon's anomalous magnetic moment is also presented in a subsequent document, employing analogous computational procedures.
In quantum electrodynamics one can obtain a Hamiltonian which gives reasonable field equations in the Heisenberg picture, but which does not allow of solutions of the wave equation to represent physical states in the Schr\"odinger picture. The inference is that the Heisenberg picture is a good picture, the Schr\"odinger picture is a bad picture, and the two pictures are not equivalent. The usual proof of the equivalence of the two pictures fails because the state vector of the Schr\"odinger picture does not remain in Hilbert space. One can set up quantum electrodynamics entirely in the Heisenberg picture and thereby avoid the worst difficulties encountered in the Schr\"odinger picture. The theory takes a logical form and is not merely an assembly of working rules. It can be applied to the calculation of the anomalous magnetic moment and the Lamb shift, and is then similar to the usual calculations of these effects, with a good deal of dead wood cut away. There is a problem concerned with the general interpretation of quantum mechanics when one cannot use the Schr\"odinger picture and some postulates are proposed for dealing with it.
The measurement of the anomalous electron magnetic moment g−2 through quantum transitions of a single trapped electron is the most stringent test of quantum field theory. These experiments are now so precise that they must account for the effects of the cavity containing the electron. Classical calculations of this "cavity shift" must subtract the electron's divergent self-field, and thus require knowledge of the exact Green's function for the cavity's electromagnetic field. We perform the first fully quantum calculation of the cavity shift in a closed cavity, which instead involves subtracting linearly divergent cavity mode sums and integrals. Using contour integration methods, we find perfect agreement with existing classical results for both spherical and cylindrical cavities, justifying their current use. Moreover, our mode-based results can be naturally generalized to account for systematic effects, necessary to push future measurements to the next order of magnitude in precision.
Any realist model of an atom must explain its properties in terms of its parts: the electrons and protons. We, therefore, need a realist model of an electron and a proton. Such model must explain their properties, including their mass, radius and magnetic moment – and the anomaly therein, of course. Indeed, these properties are not to be thought of as mysterious intrinsic properties of a pointlike or dimensionless particle: the model should generate them. We think our ring current model does that rather convincingly. In this paper, we take the next logical step. We relate these models to the four quantum numbers that define electron orbitals. In the process, we also offer the basics of a classical explanation of the Lamb shift. This should complete our realist interpretation of quantum physics.
This paper is a progress report on the foundations for the canonical proper-time approach to relativistic quantum theory. We first review the the standard square-root equation of relativistic quantum theory, followed by a review of the Dirac equation, providing new insights into the physical properties of both. We then introduce the canonical proper-time theory. For completeness, we give a brief outline of the canonical proper-time approach to electrodynamics and mechanics, and then introduce the canonical proper-time approach to relativistic quantum theory. This theory leads to three new relativistic wave equations. In each case, the canonical generator of proper-time translations is strictly positive definite, so that it represents a particle. We show that the canonical proper-time extension of the Dirac equation for Hydrogen gives results that are consistently closer to the experimental data, when compared to the Dirac equation. However, these results are not sufficient to account for either the Lamb shift or the anomalous magnetic moment.