@ all:
Thanks for the comments. I enjoyed writing my response because it was about a topic in which I am very interested. I just want to clear up though that I am a student and not a teacher. To be honest, I don't know how good of a teacher I would be. As of now I plan on going the industry route immediately after graduation, so whether or not I'll ever end up as a prof is questionable.
@ CaptRobertApril:
You clearly have a more expansive knowledge of modern physics concepts than I do. I may have to do some reading this weekend on some of the topics that you mentioned in this thread. I'd like to read up on the stuff now, but I have three exams to deal with this week. Just took my Electromagnetic Fields and Waves exam this morning, and I have Fourier Series Boundary Value Theorem tomorrow, followed by Intel x86 Microprocessors on Thursday. Studying = blah.
@ eric54:
Everything you said made sense. The mobius strip analogy was especially good. I remember in Calc 3 when we learned about surface integrals and the special considerations that have to be made for the case of a mobius strip.
@ StrangeStranger
As far as I know, Einstein always talked about light rather than EMR in general because it's much easier to imagine. There's no doubt that most people think of light as being something unique and separate from EMR, and people tend to be much better at understanding light concepts than other EMR concepts. You are correct, Einstein thought about what would happen if he could run at the speed of light, and what it would look like from both his standpoint and that of an observer.
You are correct that our measurements are limited by the viewpoint of Earth and that perhaps some of the ideas that we embrace fall apart under circumstance that we cannot currently imagine. That's why it's all considered theory, because we can't entirely prove it. My physics teacher in high school always said "physics is truth +/- 20%." It's all about descibing what we see in a way that is reproducable. There is still much to be explained such as strong/weak nuclear forces, and quantum approaches to magnetic and gravitational fields. I read an interesting article a year ago about the concepts of gravito-electric and gravito-magnetic fields, and how the gravito-magnetic field produced by an angular-accelerating superconductor is actually much stronger than Einstein predicted. There are other examples in which Einstein's ideas fall short, but that's to be expected since he was one man working a long time ago. Still, his contributions are to physics what Euler's contributions are to math...tremendous.