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## Main Question or Discussion Point

I thought Lorentz Transformations left Δt

but, for example a frame moving at .5C for Δt =1 has Δx = .5 so

Δt

If this is transformed by :

to a rest frame

Δt =0.65 has Δx = 0 and Δt

not sure where I have gone wrong here, any help would be appreciated

^{2}-Δx^{2}invariantbut, for example a frame moving at .5C for Δt =1 has Δx = .5 so

Δt

^{2}-Δx^{2}= .75If this is transformed by :

to a rest frame

Δt =0.65 has Δx = 0 and Δt

^{2}-Δx^{2}≠ 0.75not sure where I have gone wrong here, any help would be appreciated