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Physics
Special and General Relativity
What is the Correct Method for Deriving p = γmv?
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[QUOTE="SiennaTheGr8, post: 5705339, member: 433080"] The idea is to find an expression that: [LIST] [*]is conserved in closed systems (and additive) even when ##v \rightarrow c##, [*]increases in magnitude without bound as ##v \rightarrow c## (because otherwise it would have a maximum limit like ##v## does, and this would contradict the first criterion), and [*]reduces to ##\mathbf{p} \approx m \mathbf{v}## in the classical limit. [/LIST] The famous Tolman/Lewis thought experiment demonstrates that if such a quantity exists, then it must be ##\mathbf{p} = \gamma m \mathbf{v}##, which obviously meets the second and third criteria. See here: [URL]https://books.google.com/books?id=FrgVDAAAQBAJ&pg=PA76[/URL]. As for the first criterion, experiment verifies that this vector is indeed conserved at [I]all[/I] possible values of ##v##. (Think particle accelerators.) [/QUOTE]
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Physics
Special and General Relativity
What is the Correct Method for Deriving p = γmv?
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