Modern Special Relativity and Mass

Click For Summary
SUMMARY

This discussion centers on the modern interpretation of special relativity, specifically addressing the outdated concepts of "relativistic mass" and "ict." It emphasizes the importance of defining mass as m = E_0/c^2 and introduces the four-momentum vector P^\mu, which is transformed using Lorentz transformations. The conversation highlights that the mass of an object does not change with speed, and the inability to accelerate massive objects to the speed of light is due to the Lorentzian structure of spacetime, not a change in mass. The discussion also references various academic sources that debate the terminology and understanding of mass in relativity.

PREREQUISITES
  • Understanding of four-vectors in special relativity
  • Familiarity with Lorentz transformations
  • Knowledge of energy-momentum relations
  • Basic concepts of spacetime geometry
NEXT STEPS
  • Study the derivation of the four-momentum vector in special relativity
  • Learn about Lorentz transformations and their implications on mass and energy
  • Explore the concept of proper time and its significance in relativistic physics
  • Investigate the ongoing debates regarding the definitions of mass in contemporary physics literature
USEFUL FOR

Physicists, students of relativity, and anyone interested in the modern interpretations of mass and energy in the context of special relativity.

  • #31
Originally posted by Arcon
Mass is the source of a gravitational field in the same way the charge is the source of of an EM field.

Actually the analogy is closer to the four vector current being the source to the vector potential which is like the stress energy tensor being the source for the differential spacetime geometry. The comparison being compared are
A^\mu ;^\nu _\nu = \mu _{0}J^\mu
and
G^\mu ^\nu = kT^\mu ^\nu .

Originally posted by Stingray
You guys shouldn't be mixing special and general relativity. The stress-energy tensor is the source for gravity in GR ... The current 4-vector can be made one number in a certain frame (charge), so its reasonable to say that charge sources the EM field. The energy-momentum tensor cannot in general be reduced to a single number (mass density).

This point is in fact why I kept saying that the stress energy tensor, NOT either mass, was the source term for gravitation in relativity. So you shouldn't say "you guys" here.

Originally posted by Arcon
That is not always true.

So what you should be arguing is that like the stress energy tensor not mass is the source in gravitation, the four vector current not charge is the source in electromagnetism.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 6 ·
Replies
6
Views
763
  • · Replies 3 ·
Replies
3
Views
465
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 1 ·
Replies
1
Views
699
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K