## 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

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