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Title: New way to present space-time relations for special relativityPost by: Fu-Kwun Hwang on April 16, 2007, 10:54:44 am
The space-time relations for two different coordinate (relative velocity v)
i.e. Lorentz transformation are x'=γ(x-βct) ct'=γ(ct-βx) where β=v/c, γ=(1-β) ^{-1/2}The applet try to show the relations with new presentation. We define β=sinθ, so γ=1/cosθ. The presentation here is different from Minkowski's presentation. (in Minkowski's presentation β=tanθ) However, the scale is the same in both coordinate with this new presentation. Initially, the applet show length contraction between two coordinates. Please drag blue arrow to see the relations between two coordinate systems. Your suggestions are highly appreciated! |