What is the reason behind proper mass being invariant?

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we know proper mass is always constant irrespective of frame ie its invariant(and conserved if I can say).so what's reason for this proper mass.?
 
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The reason it is important to use proper mass is well described in wikipedia:
http://en.wikipedia.org/wiki/Invariant_mass

... generally it is useful to look for things that all observers can agree on - it makes the math simpler.
 
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From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
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