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i'm reading Einstein's popular book, On the Special and General Relativity,

i'm on Appendix two, Minkowski's Four-Dimensional Space ("World")

http://www.marxists.org/reference/archive/einstein/works/1910s/relative/ap02.htm

however, i ran into such problem here. Einstein says

"We can characterise the Lorentz transformation still more simply if we introduce the imaginary square root of -1 times ct in place of t, as time-variable."

i know that the goal is to square this imaginary square root of -1 times ct in order to get -c^2t^2 which is in the previous simple derivation of Lorentz Transformation:

x'^2 + y'^2 + z'^2 - c2^t'^2 = x^2 + y^2 + z^2 - c^2t^2

but this the imaginary square root of -1 times ct is the distance travelled by light after time t, not time t (time travelled) itself, isn't it? if anyone knows this please tell me.

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# Minkowski's 4 dimensional world

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