## A Note on Quaternionic Maxwell-Dirac Isomorphism, Klein-Gordon Equation, Unified Wave Equation from Relativistic Fluid, and Gravitation from Aharonov Effect

**Authors:** V. Christanto

While nowadays it is almost trivial to prove explicitly that
there is exact correspondence (isomorphism) between Dirac equation and
Maxwell electromagnetic equations via biquaternionic representation,
nonetheless their physical meaning remains open for discussion. In the
present note we submit the viewpoint that it would be more conceivable if
we interpret the vierbein in terms of superfluid velocity. Furthermore using
the notion of Hodge bracket operator, we could find a neat linkage between
Dirac equation and Klein-Gordon equation. From this viewpoint it seems
possible to suggest a generalised unified wave equation from relativistic
fluid dynamics, which is thus far never proposed. Furthermore, the present
note argues that it is possible to derive an alternative description of
gravitational phenomena from Aharonov effect in relativistic spacetime,
which then could be used to explain anomalous gravitational phenomenon
known as Podkletnov's experiment. Further experimental observation to
verify or refute this proposition is recommended. For clarity, each new
equation in the present note, which never appears before elsewhere, is
denoted by (#) notation.

**Comments:** recovered from sciprint.org

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### Submission history

[v1] 25 Mar 2007

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