Relativitic momentum p =γ m v(adsbygoogle = window.adsbygoogle || []).push({});

Consider explosion happens with two particles of equal mass m moving in opposite directions with the same speed. So, the total momentum before and after explosion is zero and conserved.

However, if I try to calculated the total momentum before and after explosion as veiwed from another intial frame of reference moving with speed v, they are not conserved!

Before explosion, p = (m+m)v

After explosion, p = p1 + p2 = γ1 m v1 + γ2 m v2

v1 is the velocity of m1 as viewed from another frame

v2 is the velocity of m2 as viewed from another frame

γ1 is 1/(1-v1^2/c^2)^0.5

γ2 is 1/(1-v2^2/c^2)^0.5

My calculation shows the total linear momentum does NOT conserved! Why?

Thank you.

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# Total linear momentum does not conserved as viewed from other frame?

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