Derivation of Energy-Momentum Relation WITHOUT using relativistic mass?

[SamRoss]

Does anyone know of a derivation of the energy-momentum relation that does not make use of relativistic mass? In other words, a derivation that only uses invariant mass.

 

[bcrowell]

http://www.lightandmatter.com/html_books/genrel/ch04/ch04.html#Section4.2

 

[bobc2]

Check out post #3 of earlier today in the following Special Relativity thread:

https://www.physicsforums.com/showthread.php?t=457318

Mass is introduced as a scalar nonrelativistic quantity. The mass energy is seen to correspond to the 4th component of 4-dimensional momentum from the vantage point of one observing the moving mass.

 

[jtbell]

Does anyone know of a derivation of the energy-momentum relation that does not make use of relativistic mass?

Do you mean the equation $E^2 = (pc)^2 + (m_0 c^2)^2$? What derivation of it uses relativistic mass, seeing as it contains the invariant mass to begin with?

 

[torquil]

I wish "relativistic mass" had never been defined!

It seems to be a source of confusion for newbies in SR.

 

[SamRoss]

I wish "relativistic mass" had never been defined!

It seems to be a source of confusion for newbies in SR.

I couldn't agree more