Conservation of Relativistic energy and momentum

  • Thread starter tade
  • Start date
  • #1
552
18
I was reading through this article

http://en.wikipedia.org/wiki/Four-momentum#Conservation_of_four-momentum

It says "The conservation of the four-momentum yields two conservation laws for "classical" quantities:
The total energy E = P0c is conserved.
The classical three-momentum p is conserved."


I'm just curious, who first derived these results and what was the title of the paper?
 

Answers and Replies

  • #2
552
18
It's quite an interesting result.
 
  • #3
Dale
Mentor
Insights Author
2020 Award
31,506
8,231
It is, but I don't know the answer to your historical question. I suspect most others do not either.
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,847
964
Looks to me like a result in Einstein's original "General Relativity" paper.
 
  • #5
Nugatory
Mentor
13,442
6,471
Looks to me like a result in Einstein's original "General Relativity" paper.

I'm not aware of any earlier references, but I would be surprised if the implications of the the four momentum were not well-known before then.
(I'm inclined to agree with DaleSpams's assessment - no one who knows the answer for sure has come across this thread yet).
 
  • #6
552
18
I'm not aware of any earlier references, but I would be surprised if the implications of the the four momentum were not well-known before then.
(I'm inclined to agree with DaleSpams's assessment - no one who knows the answer for sure has come across this thread yet).
Hmm, that's sad.

One of the most interesting things is to find out how scientists developed their theories. To "know their thoughts", the thoughts they had during those moments.
 
  • #7
robphy
Science Advisor
Homework Helper
Insights Author
Gold Member
5,911
1,225
Here's a translation of a paper by P.Epstein (1911) that makes use of momentum conservation in relativity
en.wikisource.org/wiki/Concerning_Relativistic_Statics (see appendix)
"Über relativistische Statik", Annalen der Physik, 341 (14), 779-795
http://gallica.bnf.fr/ark:/12148/bpt6k153397/f795

Something that seems to directly recognize the component conservation laws:
"The Space-Time Manifold of Relativity. The Non-Euclidean Geometry of Mechanics and Electromagnetics"
Edwin B. Wilson and Gilbert N. Lewis (1912)
Proceedings of the American Academy of Arts and Sciences , Vol. 48, No. 11 (Nov., 1912), pp. 389-507
http://www.jstor.org/stable/20022840
 
  • #8
552
18
Here's a translation of a paper by P.Epstein (1911) that makes use of momentum conservation in relativity
en.wikisource.org/wiki/Concerning_Relativistic_Statics (see appendix)
"Über relativistische Statik", Annalen der Physik, 341 (14), 779-795
http://gallica.bnf.fr/ark:/12148/bpt6k153397/f795

Something that seems to directly recognize the component conservation laws:
"The Space-Time Manifold of Relativity. The Non-Euclidean Geometry of Mechanics and Electromagnetics"
Edwin B. Wilson and Gilbert N. Lewis (1912)
Proceedings of the American Academy of Arts and Sciences , Vol. 48, No. 11 (Nov., 1912), pp. 389-507
http://www.jstor.org/stable/20022840
Epstein didn't mentioned the important bit, conservation in all frames. Still, thanks for the links.

By the way, what's that in your avatar? It looks like a UFO ejecting cylinders. And there's a secret massage in the Minkowski space signature. :)
 
  • #9
Dale
Mentor
Insights Author
2020 Award
31,506
8,231
Hmm, that's sad.

One of the most interesting things is to find out how scientists developed their theories. To "know their thoughts", the thoughts they had during those moments.
I guess that is a matter of personal taste. To me, the details of the development is the least interesting part of the history, the most interesting part is the progression of experiments.
 
  • #10
552
18
I guess that is a matter of personal taste. To me, the details of the development is the least interesting part of the history, the most interesting part is the progression of experiments.
Experiments for me too. Nowadays you can read books which describe the developments of particle physics and cosmology, even with the dialogue between the researchers.
 
  • #11
robphy
Science Advisor
Homework Helper
Insights Author
Gold Member
5,911
1,225
By the way, what's that in your avatar? It looks like a UFO ejecting cylinders.

My avatar is an animated spacetime diagram of a ticking "circular light clock".

And there's a secret massage in the Minkowski space signature. :)
What secret message?
 
  • #12
552
18
My avatar is an animated spacetime diagram of a ticking "circular light clock".
Cool. :cool: Let's attach it to the bottom of a UFO.

What secret message?
 

Related Threads on Conservation of Relativistic energy and momentum

Replies
17
Views
5K
  • Last Post
Replies
9
Views
899
  • Last Post
2
Replies
32
Views
7K
Replies
1
Views
6K
  • Last Post
Replies
20
Views
8K
Replies
3
Views
577
Replies
22
Views
1K
Replies
5
Views
511
Top