So i have an equation to calculate the impossibility of pair production during photon decay into two electrons and I'm having to do some momentum conservation, can't quite do it but a colleague of mine has suggested this which I don't particularly agree with some help would be appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

So we have some numbers which are constants and one we know is < 0 because its a square negative. He suggests using something like the simple example below which clearly doesn't work if you could suggest why that would be great.

-100+3=-97<0

Rearrange to

3=3<0

He did the same thing but with energies, where k is a constant:

k -Ea^2/c^2 - Eb^2/c^2 - 2EaEb/c^2 = -Ei^2/c^2 < 0

Just rearranged to:

Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 -Ei^2/c^2 < 0

Ea^2/c^2 + Eb^2/c^2 + 2EaEb/c^2 < Ei^2/c^2

I'm not happy with this proof.

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# Inequalities and Rearranging equations

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