Coordinate Transformations: How Space Determines Laws

Motion, Episode 3
If you've ever used coordinates and coordinate transformations in physics, then you may think that they're quite unremarkable. Coordinates are just a way of labelling the points in space, so it doesn't seem like they can have any physical significance, they're just labels. But there's far more to coordinates than that.

Only certain coordinate transformations will preserve the form of the laws of physics. In this video we'll see that the symmetries of space tell you what coordinate transformations preserve your laws of physics - a crucial link between space and the laws of physics that takes a big step toward special relativity.

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Previous Episode here: https://youtu.be/lfENzB_Vx3Y

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