Quantum Physics


Quaternionic Continuity Equation for Charges

Authors: Ir J.A.J. van Leunen

The continuity equation is specified in quaternionic format. It means that the density and current of the considered “charge” is combined in a quaternionic probability amplitude distribution (PAD). Next, the Dirac equation is also put in quaternionic format. It is shown that it is a special form of continuity equation. Further it is shown that two other quaternionic continuity equations can be derived from the quaternionic Dirac equation. The square and the squared modulus of the PAD play an essential role in these new equations. Further, a whole series of equivalent equations of motions is derived from the possible flavor couplings. The corresponding particles are identified. The mass of the particles can be computed from their fields. In this way all of the particles in the standard model can be identified. The interpretation of these extra equations leads to the insight that when fermions take a new position, they must step over a forbidden region. Finally, the role of the quaternionic covariant derivative is explained.

Comments: 21 pages

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Submission history

[v1] 5 Oct 2011
[v2] 17 Oct 2011
[v3] 25 Oct 2011
[v4] 4 Nov 2011

Unique-IP document downloads: 239 times

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