Lorentz boosts in Geometric Algebra paravector notation.
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Motivation.
The notation I prefer for relativistic geometric algebra uses Hestenes’ space time algebra (STA) [2], where the basis is a four dimensional space \( \setlr{ \gamma_\mu } \), subject to Dirac matrix like relations \( \gamma_\mu \cdot \gamma_\nu = \eta_{\mu \nu} \).
In this formalism a four vector is just the sum of the products…
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