Newton's second law of motion is given in Minkowski space by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\bar{F}=m(c\gamma\dot{\gamma}, \gamma\dot{\gamma}\tilde{v}+\gamma^{2}\tilde{a})[/tex]

where [itex]\dot{\gamma}=\frac{d\gamma}{dt}=\frac{\gamma^{3}}{c^{2}}\tilde{v}\cdot\tilde{a}[/itex] and [itex]\tilde{v}(t)[/itex] and [itex]\tilde{a}(t)[/itex] the 3-velocity and 3-acceleration. How can I show now that this law has the same form in all inertial frames?

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# 4-vector law of motion in different inertial frames

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