Authors: E.P.J. de Haas
This paper is a sequel to ``Doppler Boosting a de Broglie Electron from a Free Fall Grid Into a Stationary Field of Gravity''. We Doppler boost a de Broglie particle from a free fall grid onto a stationary field of gravity. This results in an identification of the two Doppler boost options with an electron energy double-valueness similar to electron spin. It seems that, within the limitations of our approach to gravity, we found a bottom up version of a possible theory of Quantum Gravity, on that connects the de Broglie hypothesis to gravity. This paper finishes and adapts ``Towards a 4-D Extension of the Quantum Helicity Rotator with a Hyperbolic Rotation Angle of Gravitational Nature'' for the quantum gravity part. We try to boost the de Broglie particle's quantum wave equation from the free fall grid to the stationary grid. We find that this is impossible on the Klein-Gordon level, the Pauli level and the Dirac level. But when we double the Dirac level and thus realize a kind of a Yang-Mills doublet level, we can formulate a doublet version of the Weyl-Dirac equation that can be Doppler boosted from the free fall grid into the stationary grid in a central field of gravity. In the end we add a quantitative prediction for the gravitational Doppler shift of the matter wave or probability density of an electron positron pair. Our free fall grid to stationary grid approach is ad-hoc and does not present a fundamental theory, but is a pragmatic attempt to formulate quantum mechanics outside the Poincaré group environment and beyond Lorentz symmetry.
Comments: 18 Pages.
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