Relativity Question: Solving Equation 3.50

  • Thread starter S.P.P
  • Start date
  • Tags
    Relativity
In summary, Equation 3.50 is the famous equation E=mc^2 in relativity theory, which expresses the relationship between energy, mass, and the speed of light. To solve it, basic algebraic principles can be used, and in some cases, advanced mathematical techniques may be required. The significance of this equation lies in its representation of the equivalence of mass and energy, and its profound impact on our understanding of the universe. It can be applied to all objects, but is most noticeable for those with high speeds or energies. Its discovery has revolutionized our understanding of physics, leading to advancements in fields such as nuclear energy and particle physics, and influencing our understanding of space and time.
  • #1
S.P.P
39
0
Hi all,

I'm trying to teach myself relativity using Sean Carroll's lecture notes. Although this Isn't a homework question I thought this part of the forum was the best place to ask.

On page 76 of http://arxiv.org/pdf/gr-qc/9712019, how have they got the first equation in (3.50) from plugging (3.49) into (3.48). I can't understand where some of the terms have gone? I must be missing something. Can someone explain how this has been achieved.

Thanks in advance! :smile:
 
Physics news on Phys.org
  • #2
When you plug (3.49) into (3.48), neglect all terms that have two or deltas.
 

FAQ: Relativity Question: Solving Equation 3.50

What is Equation 3.50 in relativity theory?

Equation 3.50 is the famous equation E=mc^2, which expresses the relationship between energy (E), mass (m), and the speed of light (c) in the theory of relativity.

How do you solve Equation 3.50?

To solve Equation 3.50, you can use basic algebraic principles to manipulate the equation and isolate the variable you are solving for. In some cases, you may also need to use calculus or other advanced mathematical techniques.

What is the significance of Equation 3.50 in relativity theory?

Equation 3.50 is significant because it represents a fundamental principle of relativity theory - the equivalence of mass and energy. It has been tested and verified numerous times and has had a profound impact on our understanding of the universe.

Can Equation 3.50 be applied to all objects?

Yes, Equation 3.50 can be applied to all objects, regardless of their size or speed. However, its effects are most noticeable for objects with extremely high speeds or energies, such as particles in particle accelerators.

How has Equation 3.50 changed our understanding of physics?

Equation 3.50 has revolutionized our understanding of physics by showing that mass and energy are essentially the same thing, and that they can be converted into each other. This has led to advancements in fields such as nuclear energy and particle physics, and has also influenced our understanding of the fabric of space and time.

Similar threads

B Which term of the Einstein equation is larger?
Replies
8
Views
851
Energy-momentum tensor radiation-dominated universe.
Replies
4
Views
2K
I Why Denote 1 Form as dx? - Sean Carroll's Lecture Notes on GR
Replies
6
Views
1K
How Can I Apply Thermodynamic Principles to Solve Homework Equations?
Replies
1
Views
1K
Understanding General Relativity: Questions on Page 11 of Notes
Replies
24
Views
3K
I Calculating Covariant Derivative of Riemann Tensor in Riemann Normal Coordinates
Replies
5
Views
2K
A Recurrence relations for series solution of differential equation
Replies
1
Views
2K
B The Strong Energy Condition in General Relativity
Replies
6
Views
2K
Diffeomorphism and removal of all matter from the spacetime
Replies
10
Views
2K
B Solving the singularity problem
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top