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21 December 2024
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01:54 | Relativistic screw 2 changes history +35 [Eric Lengyel (2×)] | |||
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01:54 (cur | prev) +20 Eric Lengyel talk contribs | ||||
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01:52 (cur | prev) +15 Eric Lengyel talk contribs | ||||
| 01:22 | Translation diffhist −19 Eric Lengyel talk contribs | ||||
9 December 2024
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08:20 | Relativistic screw 2 changes history +450 [Eric Lengyel (2×)] | |||
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08:20 (cur | prev) +441 Eric Lengyel talk contribs | ||||
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06:36 (cur | prev) +9 Eric Lengyel talk contribs | ||||
25 November 2024
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08:53 | (Upload log) [Eric Lengyel (2×)] | |||
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08:53 Eric Lengyel talk contribs uploaded File:Antimetric-pstga.svg | ||||
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08:53 Eric Lengyel talk contribs uploaded File:Metric-pstga.svg | ||||
| N 08:50 | Metrics diffhist +757 Eric Lengyel talk contribs (Created page with "The ''metric'' used in the 5D projective geometric algebra over 4D spacetime is the $$5 \times 5$$ matrix $$\mathfrak g$$ given by :$$\mathfrak g = \begin{bmatrix} -1 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 \\\end{bmatrix}$$ . The ''metric exomorphism matrix'' $$\mathbf G$$, often just called the "metric" itself, corresponding to the metric $$\mathfrak g$$ is the $$32 \times 32$$ matrix shown below. Image:m...") | ||||
24 November 2024
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N 10:08 | Relativistic screw 3 changes history +1,171 [Eric Lengyel (3×)] | |||
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10:08 (cur | prev) +375 Eric Lengyel talk contribs | ||||
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10:03 (cur | prev) +197 Eric Lengyel talk contribs | ||||
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09:56 (cur | prev) +599 Eric Lengyel talk contribs (Created page with "A relativistic screw $$\mathbf Q$$ is given by :$$\mathbf Q(2\tau) = \exp_\unicode{x27C7}[\gamma\tau(\dot\delta\,\mathbf e_0 + \dot\phi{\large\unicode{x1D7D9}}) \mathbin{\unicode{x27C7}} \boldsymbol l - \gamma c\tau\,\mathbf e_{321}]$$ , where $$c$$ is the speed of light and $$\gamma = dt/d\tau$$. The operator $$\mathbf Q$$ transforms a position $$\mathbf r$$ (or any other quantity) through the sandwich product :$$\mathbf r' = \mathbf Q \mathbin{\unicode{x27C7}}...") | |||
| 10:03 | Translation diffhist +25 Eric Lengyel talk contribs | ||||