## A New Wave Quantum Relativistic Equation from Quaternionic Representation of Maxwell-Dirac Isomorphism as an Alternative to Barut-Dirac Equation

**Authors:** V. Christianto

It is known that Barut's equation could predict lepton and
hadron mass with remarkable precision. Recently some authors have
extended this equation, resulting in Barut-Dirac equation. In the present
article we argue that it is possible to derive a new wave equation as
alternative to Barut -Dirac's equation from the known exact correspondence
(isomorphism) between Dirac equation and Maxwell electromagnetic
equations via biquaternionic representation. Furthermore, in the present
note we submit the viewpoint that it would be more conceivable if we
interpret the vierbein of this equation in terms of superfluid velocity, which
in turn brings us to the notion of topological electronic liquid. Some
implications of this proposition include quantization of celestial systems.
We also argue that it is possible to find some signatures of Bose- Einstein
cosmology, which thus far is not explored sufficiently in the literature.
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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