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May
22
awarded  Nice Question
May
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awarded  Nice Question
Apr
10
awarded  Nice Question
Jan
30
awarded  Popular Question
Jul
25
awarded  Cleanup
Jul
25
revised Could cell-phone radiation cause cancer?
rolled back to a previous revision
Jul
2
awarded  Yearling
Jul
14
accepted Could cell-phone radiation cause cancer?
Jul
13
comment What does a frame of reference mean in terms of manifolds?
Or is the point, perhaps, that "change along the time component" doesn't really make sense (change compared to what?); so that saying "inertial" or "accelerated" makes sense only compared to another reference frame?
Jul
13
comment What does a frame of reference mean in terms of manifolds?
Alright, let me make sure I understand. A frame of reference at a point is a choice of a fiber in the $SO(M,g)$-bundle on $M$. This, via the connection, is equivalent locally (near our point in $M$) to a section of the $SO(M,g)$-bundle. Now, an inertial reference frame, is such a choice so that locally near our point, the frame (section) doesn't change along the time component. An accelerated reference frame is a non-inertial reference frame. Did I get that right?
Jul
13
comment What does a frame of reference mean in terms of manifolds?
I'm not sure I understand. You're saying that a frame of reference is a section of $(TM)^4$ (satisfying some conditions)? But then what is meant by saying that it is a frame of reference at a point? It seems that the definition that you gave is global in nature. Is this an abstraction of the phrase `frame of reference' to the point of it not being dependent on the location of the observer? I think I'm missing something basic.
Jul
12
asked What does a frame of reference mean in terms of manifolds?
Jul
9
comment Could cell-phone radiation cause cancer?
Thanks! Where can I read about multi-photon effects? (or if it's easy: what is it?)
Jul
8
asked Could cell-phone radiation cause cancer?
Jul
8
accepted Is spacetime simply connected?
Jul
8
asked How is the complexification of spacetime justified?
Jul
8
asked Is spacetime simply connected?
Jul
3
awarded  Supporter
Jul
2
comment Objects in Physics as a mathematician would see them
Thanks! I apologize for not being able to upvote, but this is also a very good answer for me!
Jul
2
awarded  Scholar