Recent content by GoldPheonix

In this paper*, Brian Greene just asserts that: "In order to contribute nine to the central charge, the dimension of M must be six, and to ensure the additional condition of N = 2 supersymmetry, M must be a complex Kahler manifold." Is there some paper that discusses the relationship...

Obviously. What's your point? I think you misunderstand what the larger issue here is --there is no such thing as a "rotating inertial frame". It's a contradiction in terms. Yes, clocks will run slower on the edge of the wheel, as observed by an inertial frame (i.e. moving constantly WRT...

There are a few of issues here: 1.) Honestly, in sum total I've probably read about 5 popular science articles in my life; however, a NOVA episode was something that helped me make my decision to become a physicist (I should note that I'm a 4th year physics and mathematics BS student, so I'm...

I'm not familiar with the prediction Einstein was trying to make here, but I assume --given that this was a paper on special relativity-- that he simply used an incorrect example of the difference in time between two inertial frames of reference. The problem, of course, is that the two frames...

I would have to speculate they are: Albert Einstein Marie Curie Niels Bohr Erwin Schrodinger Wolfgang Pauli Paul Dirac Enrico Fermi Edwin Hubble Robert Oppenheimer Richard Feynman Julian Schwinger Sin-Itiro Tomonaga Chen Ning Yang Abdus Salam Steven Weinberg Sheldon Glashow...

I personally didn't notice calculus getting difficult until calc III (although I took the AP calc BC exam, and so when I got into university, I hopped right into calc III). Infinite series I didn't really find difficult until you get having to prove convergence for more complicated sequences in...

Okay, a few things here. I'm going to presume that you're at least a little bit familiar with what a vector space, dual space, differentiable manifold, tangent space, and cotagent space are (If not, Christopher Isham's book on differential geometry for physicists covers the topics rather...

I own M. Nakahara's book. Is it contained in the section on the theory of connections on fiber bundles?

Yeah, you should take: Whatever introductory course in classical mechanics and E&M. 1 or 2 advanced classes on classical mechanics, 1 or 2 in E&M, and 1 or 2 in quantum mechanics. And that's at a bare minimum, you should hopefully also have some experience with statistical mechanics and...

Thank you George Jones for your reply. Is there a particular name for the topic of Lie-algebra valued one-forms? (I assume it's actually a differentiable form, i.e. a section of the cotangent bundle). If there is, I would like to study it a little more.I'm assuming there's a little more to it...

All vectors are, technically, tensors. All tensors are not vectors. This is to say, tensors are a more general object that a vector (strictly speaking though, mathematicians construct tensors through vectors). Tensors are technically defined through two different objects: 1.) Vectors. 2.)...

Definition 1.) Cardinality. Loosely speaking, it refers to the "size" of a set. This is to say, cardinality is the number of objects (often technically labeled "elements") contained in a set. So if a set, X, is {a,b,c,d}, then the cardinality of X is 4, because it has four objects contained...

Right, so in Yang-Mills theory, the vector potential is modified from: F = dA To: F = dA + A\wedge A However, it is my understanding that the exterior/wedge product is anticommutitive, so that for a given exterior algebra over a vector space, V: \omega \wedge \omega = 0, \forall...

My pure math major friends took about 2-3 per semester. It certainly would never be 4 per semester, you'd never be able to fit in breadth requirements.

I think an important distinction needs to be made here: Do you want to do theoretical physics or experimental physics? If you're just going to be doing experimental physics, what you have is more than sufficient. If you want to do theoretical physics, however, do what a few others said, and...