Five- and eight-vector extensions of relativistic quantum theory: The preferred reference frame |
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Authors: | James D. Edmonds Jr. |
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Affiliation: | 1. Department of Physics, San Diego State University, 92115, San Diego, California
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Abstract: | The complex quaternion approach to relativistic quantum theory is extended to include time, in the preferred cosmic reference frame, as a fifth dimension. Particle mass appears as an eigenvalue of this invariant operator. Closing the extended algebra also suggests three additional space-time components, possibly related to microscopic rotational degrees of freedom and the scale setting fundamental length. The Dirac, Klein-Gordon, Maxwell, and Einstein equations are generalized to accommodate 5- and 8-vector space-time, including gravitational curvature. The usual conserved probability density is shown to harbor fundamental difficulties. |
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