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4min chapter
AMA | October 2022
Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas
Is the Third Derivative of Position Really Important?
The second derivative of a position tends to be really important but the third derivative not so much. The laws of physics, as Isaac Newton handed them to us, say that the state of a system is given by the position and the velocity. But there's no absolute position or absolute velocity, right? So why do we treat position and momentum so differently? That's a highly non-trivial question that nobody knows the answer to.
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