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Benedict Irwin edited Introduction.tex
about 10 years ago
Commit id: 3dae440f9856abf7267e316a1a8885279589592c
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On probing where this comes from it was postulated that the matrix could be the 'Real' (non-quaternion) part of the outer product of two unit quaternions $Q= w + xi + yj +zk$, \begin{equation}
\eta_{\mu \nu} = Q \otimes Q
=Re(\begin{bmatrix} =Re\leftbracket
\begin{bmatrix}
1 & i & j & k \\
i & -1 & k & -j\\
j & -k & -1 & i\\
k & j & -i & -1
\end{bmatrix}) \end{bmatrix}\rightbracket
\end{equation}
The implications of carrying through the physics made with this tensor without taking the real part were considered. The creation of an electromagnetic tensor is considered.