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May 6, 2021 at 15:22 answer added Laff70 timeline score: 0
May 6, 2021 at 13:06 comment added Prahar @Frobenius - I suppose it depends on how one defines the 4-vector $p^\mu$. The definition that one is presented with when starting to learn special relativity does involve $m_0$ in which case my argument would be circular and since this is the context that is relevant to OP, I'll have to agree with you.
May 6, 2021 at 13:02 comment added Voulkos @Prahar Mitra : But the 4-momentum $\,p_{\mu}\,$ is defined in dependence to the a priori considered invariant rest mass $\,m_{\rm o}$, see equation \eqref{08a} in my answer. So I don't think that this is a proof, unless there exists a different definition of $\,p_{\mu}\,$ independent of the rest mass $\,m_{\rm o},$ which I miss. But then from this different definition must be proved first that $\,p_{\mu}\,$ is a Lorentz 4-vector in order for your proof to be valid.
May 6, 2021 at 11:37 vote accept Himanshu
May 6, 2021 at 11:37
May 6, 2021 at 10:01 comment added Prahar The mass of a particle is related to the square of the four momentum $m^2 = p^\mu p_\mu$ which makes it clear that $m$ is Lorentz invariant.
May 6, 2021 at 7:26 history edited Qmechanic
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May 6, 2021 at 7:17 answer added Voulkos timeline score: 8
May 5, 2021 at 14:44 comment added nwolijin Mass is one of the Casimirs of ISO(d-1,1)
May 5, 2021 at 14:23 history asked Himanshu CC BY-SA 4.0