# Conservation of Relativistic energy and momentum

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?

It's quite an interesting result.

Dale
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2020 Award
It is, but I don't know the answer to your historical question. I suspect most others do not either.

HallsofIvy
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Looks to me like a result in Einstein's original "General Relativity" paper.

Nugatory
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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).

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).

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.

robphy
Homework Helper
Gold Member
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

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. :)

Dale
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2020 Award

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.

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.

robphy
Homework Helper
Gold Member
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?

My avatar is an animated spacetime diagram of a ticking "circular light clock".
Cool. Let's attach it to the bottom of a UFO.

What secret message?