Recent content by rahuldandekar

If the net force on one rod is zero in one frame, it should be in every other frame too. That means, in the rest frame, although both rods are stationary and electrically charged, they don't exert any force on each other. That's not possible. Thus, for every velocity less than c, there must...

Go for Schutz. Dirac's book is not for beginners. Also, you need to solve exersices to learn effectively.

I learned from Cheng, which is a nice book on the same level as Hartle if you don't want too many details. It doesn't cover Black Holes in detail, but covers more Cosmology than Hartle. I studied from it because I wanted Cosmology. Hartle is better, from what I've seen, but Cheng's book has...

You can't do better than the master himself. Have you chanced upon "The Special and General Theory" by Einstein? http://www.marxists.org/reference/archive/einstein/works/1910s/relative/index.htm

That means Maxwell's equations do not show any preference for a particular frame. Thus, they hold in any frame. Thus, the wave equation is invariant. Thus, the speed of light in any medium is c. [SIZE="1"](Which is the inverse of the square root of epsilon-zero*mu-zero).

I see your point. But in the original twins paradox, the asymmetry stays even if you do the interchanging of proper distance i talked about. This is an additional asymmetry, and it doesn't matter. The real difference between the comparing of events in the original twin paradox is that the...

No, the twins paradox contains an asymmetry of accelerating vs. non accelerating frames. We cannot make that situation symmetrical whatever we do. There is a way to make this situation symmetrical. Forget the space station clock, just compare the Earth's clock with the spaceship clock...

Yes, the clock readings are asymmetrical in the two frames. But that doesn't mean there's a paradox. The situation itself is asymmetrical in the two frames. Looking from the Earth's frame, one clock is moving, two clocks are stationary. In the spaceship frame, one clock is stationary, two...

There is the problem. Space ship and Earth are separated by 8 ly. How are all clocks going to read zero simultaneously? Simultaneously in which frame?

As has been said previously, that's a very good question. (Although I don't know how accurate it is to say that the metric is partly FRW and partly Schwarzschild.) The FRW metric is valid only if the matter distribution is homogeneous and isotropic. Thus, it only applies on the >~100 Mpc scale...

Well, they do separate... the electric force is much larger than the magnetic force for low velocities. Som,, the electric force in the first frame dominates the magnetic attraction, and they repel.

A variety of reasons. Firstly, for the galaxies to be actually "moving" away from us at such high velocities, initially, they'd have to be given a very big "push". What is the source of this push (or explosion)? On the other hand, the interpretation as FRW metric follows naturally from a...

I think that the relevant fact is that the geometry of the universe is not FRW on small scale. It is Schwarzschild in, for example, the solar system. Hence, the metric on these scales is not expanding. Only on very large scales, is the universe's metric approximately FRW, hence expanding. You...

Ok, I was kind of wrong there. The rotating Earth isn't exactly like a moving car, because, um, well, it rotates. There are some terms in the Coriolis force which depend on cos of the angle from the pole, and some which depend on sine. The sine terms do matter that the equator. (The cos terms...

OK. To make the discussion easier (and as was mentioned earlier), I'll assume you're on the equator. Then the centrifugal force (which points away from the rotational axis) is m*r*w^2 , where R is the radius of the earth, and w is the angular acceleration of the earth. At the equator, this...