Prof Ramamurti Shankar has this Youtube video 'Introduction to Relativity' at(adsbygoogle = window.adsbygoogle || []).push({});

And in it he derives the Lorentz Transforms something like this, at about 58 minutes into it.

|------------------------- t ----------------------| time

|-----ut---------------|---------- x' -------------|

|--------------------------- x --------------------|

x' = (x - ut)Ɣ

x = (x'+ ut')Ɣ

Ɣ = 1/(√(1 - (u²/c²)))

x'= (x - ut)/(√(1-u²/c²))

I thought I understood but I now find I don't. Because when I look at that last equation it seems to me that x' is going to increase in length as speed increases.

There's a failure in my understanding somewhere. Can someone please point it out to me?

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# How To Understand This Lorentz Transform?

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