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- W50800101 abstract "In this Chapter we discuss three important issues. The first is how (mathrm{i} = sqrt{-1}) makes its appearance in classical electrodynamics and in Dirac theory. This issue is important because if someone did not really know the real meaning uncovered by (mathrm{i} = sqrt{-1}) in these theories he may infers nonsequitur results. After that we present some ‘Dirac like’ representations of Maxwell equations. Within the Clifford bundle it becomes obvious why there are so many ‘Dirac like’ representations of Maxwell equations. The third issue discussed in this chapter are the mathematical Maxwell-Dirac equivalences of the first and second kinds and the relation of these mathematical equivalences with Seiberg-Witten equations in Minkowski spacetime ((M,boldsymbol{eta },D,tau _{boldsymbol{eta }},uparrow )) which is the arena where we suppose physical phenomena to take place in this chapter. We denote by {x μ } coordinates in Einstein-Lorentz-Poincare gauge associated to an inertial reference frame (boldsymbol{e}_{0} in sec TM). Moreover ({boldsymbol{e}_{mu } = frac{partial } {partial x^{mu }}} in sec TM,(mu = 0,1,2,3)) is an orthonormal basis, with (boldsymbol{eta }(boldsymbol{e}_{mu },boldsymbol{e}_{nu }) =eta _{mu nu } =mathrm{ diag}(1,-1,-1,-1)) and ({gamma ^{nu } = dx^{nu }} in sec bigwedge ^{1}T^{{ast}}Mhookrightarrow sec mathcal{C}ell(M,eta )) is the dual basis of ({boldsymbol{e}_{mu }})." @default.
- W50800101 created "2016-06-24" @default.
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- W50800101 date "2016-01-01" @default.
- W50800101 modified "2023-10-02" @default.
- W50800101 title "Maxwell, Dirac and Seiberg-Witten Equations" @default.
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- W50800101 doi "https://doi.org/10.1007/978-3-319-27637-3_13" @default.
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