Quantum Physics


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.

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Submission history

[v1] 25 Mar 2007

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