Recent content by YangMills

Once again, thank you everyone. But I would still like to know how to ask about payment.

Thank you everyone for your answers. I did not apply through a program, I just went to his office and asked him a while back (in February), at the suggestion of a friend. The books I used for GR were 'Gravitation' by Misner, Thorne, and Wheeler, 'Gravitation and Cosmology: Principles and...

Hello, I am an extremely curious first year student, who is hoping to get a summer research position. Earlier on in the year, I had a successful interview with a professor of General Relativity, whose grad lectures I had been attending. By "successful," I mean he said I could join his reading...

My professor and I were discussing the emergence of the Swartzschild solution from topological considerations, corresponding to the manipulations of a point singularity. He pointed out to me that mass nowhere enters into the considerations, and so classifying black holes according to mass is...

I have recently become aware of a summer physics fellowship offered to undergraduates at the University of Toronto, in which students may propose a topic and receive money to research it. Unfortunately, while there are numerous interesting projects I can think of, I am not sure if they would be...

Sorry that it's taken so long for me to get back. One last question: Can you direct me to that more advanced explanation? It sounds interesting.

Ah, I get it now. Basically, we expand R about R(0) = 1 in the Taylor fashion, giving us a series of matrices (generators), which constitute a basis for a field. If we started with a gauge group, we now have a gauge field. Thank you very much.

Unfortunately I don't see how you reach that. I though tangent spaces were generalizations of the "tangent" (e.g. line, plane) to higher dimensions. So why are you adding operators?

Alright, I understand that there are redundant degrees of freedom in the Lagrangian, and because transformations between these possible "gauges" can be parametrized by a continuous variable, we can form a Lie Group. What I am not so firm upon is how Lie Algebras, specifically, the Lie Algebra...

Yes, that is exactly what perplexes me. In the context of general relativity, gravity is not a force, in the same way that there is no centrifugal force: it is a consequence of the coordinate system. Of course, this quote was from Wikipedia, but I've been following it for quite some time and...

Homework Statement I was researching relativity, and stumbled across this: "General relativity introduces a third force that attracts the particle slightly more strongly than Newtonian gravity, especially at small radii. This third force causes the particle's elliptical orbit to...

In special relativity, velocity dependent forces transform. Let us then consider frictional forces, such as drag, which are velocity dependent in the first order. Do two observers moving relative to a third body measure different frictional effects?

This problem is easily remedied: You start off with the Earth at 10 yrs, but it views the spaceship as six years (due to the spaceship moving 0.8c). Relative to the spaceship, it is the Earth moving at 0.8c. Thus the spaceship measures 10 yrs, and sees the Earth as six years.