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Benedict Irwin edited Introduction.tex
about 10 years ago
Commit id: c5be84d878556639d9ac9198979adf39a2d10161
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A prominent feature in relativistic physics is the Minkowski metric tensor \begin{equation}
\nu \eta = \begin{bmatrix}
1 & 0 & 0 & 0 \\
0 & -1 & 0 & 0\\
0 & 0 & -1 & 0\\
...
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{equation}
\nu \eta = Q \otimes Q =Re(\begin{bmatrix}
1 & i & j & k \\
i & -1 & k & -j\\
j & -k & -1 & i\\