I attempted to derive a fully expanded expression for the force four vector(adsbygoogle = window.adsbygoogle || []).push({});

The four velocity being --> (γ,γv) (Only considering one spatial component here)

The four acceleration is thus, (I've used κ for proper time as I cannot find the tau symbol)

(∂γ/∂κ,∂γv/∂κ) --> γ(∂γ/∂t,∂γv/∂t)

Now from here, it turns into a miasma of terms, since both v and γ and functions of the coordinate time (generally), we would have spatial velocity and acceleration mixed together and making it virtually impractical in calculations.

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# Four force giving me headaches

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