How come you guys don't know or don't agree that Einstein's equation E = mc^2 come from Newton's equations?

Question

How come you guys don't know or don't agree that Einstein's equation E = mc^2 come from Newton's equations? Einstein really combined the two equations of forces of Newton's to create his equation. The two equations of Newton's are F = ma and the Unversal Gravitation. Einstein put them together and did a little Math and came up with his equation E = mc^2. How come you guys don't know that?

I meant to say Universal Gravitation.

Then I should keep this to myself so I can claim the Nobel Prize? Perhaps you guys did not read the correct or right book. I have it with me now.

kennyk, Einstein did not derive the function like Calculus, but he combined the two equations of Newton's and used Math manipulation to get the equation E = mc^2. That is why I think both Newton and Einstein are still great.

My book really said Einstein combined the two equation of forces of Newton, Second law F = ma and Universal Gravitation F = Gm1m2/r^2. He combined the two equations and used Math manipulation and came up with the equation E = mc^2.

You guys are right. I reread the book. I was mistaken. Einstein did not use F = ma and Universal Gravition law to derive E = mc^2. But he used Third law of Newton to reason to get E = mc^2.

Answer 1

Because it isn't true. Care to prove us wrong and win a Nobel Prize? Be my guest.

Edit--that light had a finite speed (measurable by looking at Jupiter's moons) was just being discovered in Newton's time. He knew it. But that's beside the point anyway.

Answer 2

Because it ain't true!

Actually, what Einstein did was revolutionary. Obviously, you have never seen the mathematical derivation of E=mc^2.

Haha.. What's the title of your book? Who's the author. I'd love to read it.

Update:
I beg to differ. If you like I'll derive it for you. Using the Lorentz factor, Newton's 2nd law, and little calculus. E=mc^2 has nothing to do with Newton's universal law of gravitation. It is the rest energy a body. Maybe you are confusing this with Einstein's generalization of Newton's universal law of gravity to general relativity.

Update:
Your book is omitting some very important details about Einstein's work. In special relativity Einstein modified Newton' s 2nd Law and generalized it to very large velocities. Gravity was not addressed in this theory. It is within the frame work of special relativity that E=mc^2 arises. In general relativity Einstein modified Newton's universal law of gravity to compliment special relativity and showed that the gravitation force is manifested by the curvature of space-time.

Answer 3

We don't know that or agree on that because it isn't true, and that's not how it happened or what it means. Of course, Einstein was intimately familiar with the work of Newton and other scientists before him, but Einsteins fundamental equivalence relationship between energy and rest mass is not derivable from Newton's laws of motion or gravitation.

Answer 4

Einstein did not use gravitation at all in the derivation of that formula. You should also be aware that the full equation is
E^2 = (mC^2)^2 + (pC)^2
where m is the rest mass, p the momentum.
You should look at Einsteins derivation. It is not that difficult. The equation comes directly from the lorentz equations.

Answer 5

Don't let anyone discourage you A.S. just write it all down and get into the public space and see what happens. You may have -- in fact -- come up with a way of relating them in a much easier way.

I, for one, would be very happy if you did, because deriving the durn thing with the energy-momentum tensor and the Lorentz transformation is very difficult.

Remember though, the key to this whole thing working -- at least as far as the rest of us have done it -- is in decoupling time from the reference frames. If you keep time constant in both frames, you will probably have a very hard time. But then again, what do I know, Relativity doesn't make any sense at all to me!

Answer 6

Newton knew the speed of light?