The Lorentz transformations between observers in relative motion at constant spe

Question

The Lorentz transformations between observers in relative motion at constant speed measuring space and time in coordinates x,y,z,t and x’,y’,z’,t’ have the effect of (choose one)

(a) ensuring that the speed of light is different between primed and unprimed observers
(b) ensuring that the speed of light is the same for both primed and unprimed observers while the dS2 interval is different
(c) ensuring that both the speed of light as well as the dS2 interval are the same for primed and unprimed observers
(d) ensuring that simultaneity is absolute

Explanation / Answer

In relativity, the speed of light and ds^2 are both constant for any observer, so the answer is (c).

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