I don't know which math forum to put this in but perhaps someone here could help out.(adsbygoogle = window.adsbygoogle || []).push({});

I want to figure out the mathematics behind the Lorentz Transformation so I can understand it better. I've got a copy of Einstein's Relativity which was reprinted by Three Rivers Press a few years ago.

In the Appendix there's a section on the Lorentz Transformation and I've hit a wall in figuring out the steps between the equations.

On page 133 they have the following equation sets;

(5)

x' = ax - bct

ct' = act - bx

(6)

v = bc/a

On page 134 it gave an example where if a snapshot was taken from K'(t'=0) and t was removed from equations (5) where;

x' = ax - bc

0 = ac - bx

and taking into account expression (6), the following equation was derived;

x' = a(1-(v^2/c^2))x

Where did the (1-(v^2/c^2)) come from?

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# Lorentz Transformation math

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