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A delightful quirk of relativity theory

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Re: A delightful quirk of relativity theory

#2
Summary: For small angles, approximation makes it look like gradients (y/x) add simply (a+b). Similarly low velocity in relativity world makes it look like velocities just add as well. With some insight we discover how it really works, including how the approximation makes it look correct for small values.

Re: A delightful quirk of relativity theory

#9

I might have missed it, but is there (or do we know of) a different model for which the velocities actually add? Essentially, how do we go from slopes to angles here?

In classical Newtonian mechanics, velocities add normally a+b = c (an approximation which works near perfect for almost all velocities humans interact with). I think you might be asking a different question, though, but I'm not sure what.
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