(i) reference frames - who's who??(adsbygoogle = window.adsbygoogle || []).push({});

I don't get the Lorentz transformation conceptually. E.g. the mathematical transformation is:

[tex]

x^\mu = \Lambda^{\mu}_{\alpha'} x^{\alpha'}

[/tex].

Does this mean that if I am told the coordinates of theguy,S'

then I will see him at x(x') values in myframe?S

For velocities then,

[tex]

u^\mu = \Lambda^{\mu}_{\alpha'} u^{\alpha'}

[/tex].

Does this mean that if I am told the speed of theguy,S'

then I will record his speed as u(u') values in myframe?S

But how do I know u'?? All I see is u, and u' thinks he is motionless!

(ii) is his "ordinary" velocity:

[tex]

u^{i} = \Lambda^{i}_{\alpha'} u^{\alpha'}

[/tex]?

or is it found by simply setting [tex]\gamma[/tex] equal to 1 and then computing the above?

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# GRAVITATION, by MTW, Exercise 2.7

Can you offer guidance or do you also need help?

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