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I cannot help but add a reference to a conformal geometric algebra here: https://en.wikipedia.org/wiki/Conformal_geometric_algebra https://en.wikipedia.org/wiki
by thesz 5y ago
I cannot help but add a reference to a conformal geometric algebra here: https://en.wikipedia.org/wiki/Conformal_geometric_algebra https://en.wikipedia.org/wiki/Conformal_geometric_algebra
Why? Because it describes movement as rotation from the infinitely far away point (a special basis vector there). And "coordinates" there are somewhat self-normalizing, because there is a special basis vector that keeps coordinates' squares.
And, of course, it is investigated as a tool to think about relativistic coordinates, linking my comment to a tweet part that says "wrong tools can obscure things".
- formerly_proven 5y ago> Because it describes movement as rotation from the infinitely far away point Doesn't this also work in normal geometry as the length of a translation goes to zero and the distance to the rotation's origin goes to infinity... because a big circle looks like a straight line up close?
- thesz 5y agoExactly. CGA has special point e_{inf} which is infinitely far away from any other regular point (with regular euclidian coordinates) and linear movements are rotations around that point.