Anyone willing to derive the motion equations of special relativity from the SR action:(adsbygoogle = window.adsbygoogle || []).push({});

S = -m_{0}c^{2}∫_{t1}^{t2}1/γ dt

where:

m_{0}= rest mass

γ = Lorentz factor =1/√(1-v^{2}/c^{2})

v is the velocity as a function of time.

The full action contains terms of the vector potential and scalar potential but assume that these are negligible. I think that is all the information required. Thanks in advance

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# Derivation of relativistic motion equations from action

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