Another relativistic dynamics question

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    Dynamics Relativistic
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Discussion Overview

The discussion revolves around the derivation and implications of the Lorentz invariance of action in the context of relativistic dynamics. Participants explore theoretical foundations and the necessity of Lorentz invariance in formulating physical theories.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests a derivation or reference for the Lorentz invariance of action.
  • Another participant suggests that while a non-Lorentz invariant action could be written, it would not be desirable due to the lack of Lorentz invariance in the resulting theory, which they claim is experimentally established.
  • A further reply questions whether a theory with a non-Lorentz invariant action would necessarily contain other non-Lorentz invariant elements, implying a connection to the foundational principles of special relativity.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and implications of Lorentz invariance in action. There is no consensus on the derivation or the consequences of non-Lorentz invariant actions.

Contextual Notes

The discussion does not resolve the assumptions underlying the necessity of Lorentz invariance or the implications of non-Lorentz invariant actions.

snoopies622
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Could someone please either derive or point me towards a derivation of the Lorentz invariance of action?

Thanks.
 
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Thought I'd give this one bump before it left the front page altogether..
 
I don't think it's derived so much as required. You could write down a non-Lorentz invariant action, but you wouldn't want to, because the resulting theory would lack Lorentz invariance, which is firmly established experimentally.
 
So if a theory includes action that isn't Lorentz invariant, then it will inevitably have something else in it that's also not Lorentz invariant and is required to be according to the initial hypotheses of special relativity?
 

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