Relativistic Dynamics: Conservation Laws Necessary?

In summary, the question is whether or not the conservation laws are necessary to be explicitly invoked in order for relativistic dynamics to comply with them. It seems that the answer is no, as the laws can be followed implicitly through other statements.
  • #1
bernhard.rothenstein
991
1
is the use of consevation laws compulsory in relativistic dinamics?
 
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  • #2
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)
 
  • #3
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.
 
  • #4
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:
  • #5
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.
 

1. What is the principle of conservation of energy?

The principle of conservation of energy states that energy cannot be created or destroyed, but it can be transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.

2. How does the principle of conservation of energy relate to relativistic dynamics?

In relativistic dynamics, energy is considered to be a conserved quantity. This means that the total energy of a system, including both its kinetic and potential energy, remains constant regardless of any changes in the system.

3. How does the principle of conservation of momentum relate to relativistic dynamics?

In relativistic dynamics, momentum is also considered to be a conserved quantity. This means that the total momentum of a system, which is the product of its mass and velocity, remains constant over time.

4. What is the significance of conservation laws in relativistic dynamics?

Conservation laws, such as the conservation of energy and momentum, are necessary in relativistic dynamics to maintain the fundamental principles of the theory. These laws ensure that the fundamental properties of energy and momentum remain constant, even in the extreme conditions of relativistic speeds.

5. Are conservation laws always applicable in relativistic dynamics?

Yes, conservation laws are always applicable in relativistic dynamics. However, they may need to be modified in certain situations, such as when dealing with systems that involve mass-energy conversion or when considering the effects of gravity on energy and momentum.

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