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Is the 4-velocity always a space-tipe 4-vector?
Ok, so if I have a given 4-velocity how can I show in terms of mathematics that it is time-like ?
WHY a 4-velocity that travel slower than light satisfies t² - x² - y² - z² = 1 ?!
([tex]\frac{v_{x}}{c\sqrt{1-\beta^{2}}}[/tex] , [tex]\frac{v_{y}}{c\sqrt{1-\beta^{2}}}[/tex] , [tex]\frac{v_{z}}{c\sqrt{1-\beta^{2}}}[/tex] , [tex]\frac{i}{\sqrt{1-\beta^{2}}}[/tex] )