Relativistic Dynamics: Conservation Laws Necessary?

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Discussion Overview

The discussion revolves around the necessity of conservation laws in the context of relativistic dynamics. Participants explore whether these laws must be explicitly used in calculations or if they can be derived from other principles without direct reference.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants argue that conservation laws are compulsory in all dynamics, including relativistic contexts.
  • Others contend that the question is well-posed and suggest that derivations in relativistic dynamics can be accomplished without initially invoking conservation laws, demonstrating compliance afterward.
  • A participant questions the intent behind the original question, suggesting it may lead to self-promotion of prior work.
  • There is a discussion about the interpretation of "use" in relation to conservation laws, with some suggesting that these laws can be followed deductively without explicit invocation during calculations.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and interpretation of conservation laws in relativistic dynamics, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

The discussion highlights ambiguity in the term "use" regarding conservation laws and the conditions under which they may be considered necessary or derivable.

bernhard.rothenstein
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is the use of consevation laws compulsory in relativistic dinamics?
 
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bernhard.rothenstein said:
is the use of consevation laws compulsory in relativistic dinamics?

this is an ill-posed question, your works need to comply with conservation laws at all times (relativity or not)
 
clj4 said:
this is an ill-posed question, your works need to comply with conservation laws at all times (relativity or not)
i think the question is well-posed. the derivation can be accomplished without using the conservation laws and to show after that the derived relativistic momentum and mass comply with them.
 
bernhard.rothenstein said:
i think the question is well-posed. the derivation can be accomplished without using the conservation laws and to show after that the derived relativistic momentum and mass comply with them.
Then why do you ask? Prove it.
Even if you follow these steps (you seem to already have a paper "up your sleeve") it still means that you are employing the conservation laws (after the fact instead of before). So is this another set-up for another one of your self-promoting links to another one of your archived papers?
 
Last edited:
i think the question is well-posed.

Well of course you know what you mean! :biggrin:

Let's look at the question again, shall we?

is the use of consevation laws compulsory in relativistic dinamics?

I think this question turns on what you mean by "use".

When you say "use" are you referring to the explicit invocation of the conservation laws when doing calculations in relativistic dynamics? Or are you referring to the use of statements which are not explicit statements of the conservation laws, but from which those laws follow deductively? It sounds from your responses like you mean the latter, in which case I would agree. Newtonian dynamics is equivalent to the conservation laws, and the latter needn't be referred to outright when doing dynamical calculations.
 

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