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21 December 2024

24 November 2024

20 November 2024

  • curprev 01:4501:45, 20 November 2024Eric Lengyel talk contribs 799 bytes +799 Created page with "A spacetime translation operator $$\mathbf T$$ is given by :$$\mathbf T(2\tau) = \gamma \dot x\tau\,\mathbf e_{230} + \gamma \dot y\tau\,\mathbf e_{310} + \gamma \dot z\tau\,\mathbf e_{120} - \gamma c\tau\,\mathbf e_{321} + {\large\unicode{x1D7D9}}$$ . It transforms a position $$\mathbf r$$ (or any other quantity) through the sandwich product :$$\mathbf r' = \mathbf T \mathbin{\unicode{x27C7}} \mathbf r \mathbin{\unicode{x27C7}} \smash{\mathbf{\underset{\Large\uni..."