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Benedict Irwin added Introduction.tex
about 10 years ago
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\section{Introduction}
A prominent feature in relativistic physics is the Minkowski metric tensor \begin{equation}
\nu = \begin{bmatrix}
1 & 0 & 0 & 0 \\
0 & -1 & 0 & 0\\
0 & 0 & -1 & 0\\
0 & 0 & 0 & -1
\end{bmatrix}
\end{equation}
On probing where this comes from it was postulated that the matrix was the 'Real' (non-quaternion) part of the outer product of two unit quaternions $Q= w + xi + yj +zk$, \begin{bmatrix}
\nu = Q \otimes Q =Re(\begin{bmatrix}
1 & i & j & k \\
i & -1 & k & -j\\
j & -k & -1 & i\\
k & j & -i & -1
\end{bmatrix})
\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.