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| bio | website | |
|---|---|---|
| location | New Jersey | |
| age | 27 | |
| visits | member for | 2 years, 6 months |
| seen | May 17 at 2:36 | |
| stats | profile views | 51 |
I'm interested in mathematical physics.
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May 2 |
awarded | Good Question |
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Jan 28 |
awarded | Popular Question |
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Nov 28 |
awarded | Popular Question |
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Oct 22 |
comment |
What does “the N of a group” mean? Maybe you meant $so(3)$ instead of $SO(3)$. The Lie group $SO(3)$ has irreps of only odd dimension but it's Lie algebra $so(3) = su(2)$ has irreps of every dimension. |
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Jun 8 |
awarded | Caucus |
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Nov 2 |
awarded | Yearling |
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Sep 15 |
awarded | Critic |
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Aug 29 |
awarded | Commentator |
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Aug 29 |
comment |
Is 3+1 spacetime as privileged as is claimed? I think that the uncertainty principle is a pretty strong assumption to start with if you're trying to justify three spatial dimensions. |
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Feb 21 |
comment |
Has every possible interaction between elementary particles been observed? I guess I am mostly interested in examples that fall within the energies that accelerators are currently able to test (including things beyond the SM, but I was under the impression we don't have the energy to test any of those things yet). |
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Feb 21 |
comment |
Has every possible interaction between elementary particles been observed? Thanks for these answers! The wikipedia article says that models that predict proton decay say the half life is around 10^36 years. Considering this is so much longer than the age of the universe, how likely is it that this could be observed? And I'm guessing this 10^36 years is the average half-life of a proton, is it possible that some protons could have already decayed? Is it theoretically possible to speed up this decay by say elevating its energy or something? |
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Feb 20 |
asked | Has every possible interaction between elementary particles been observed? |
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Jan 28 |
awarded | Nice Question |
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Dec 18 |
answered | Ring theory in physics |
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Dec 14 |
comment |
What is known about the topological structure of spacetime? Very interesting! Thanks for this answer. |
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Dec 13 |
comment |
Electromagnetic Field as a Connection in a Vector Bundle Well, if you're working on a vector bundle then the connection forms are really only defined relative to a local frame. If you patch them together to get something global then it doesn't take values in any nice bundle. However, the curvature form is a global two form with values in the adjoint rep. But if you go from a vector bundle to its associated principal bundle, then the connection form is a global 1 form on the principal bundle with values in the Lie algebra (not ad rep) and the curvature form is a 2 form on the principal bundle with values in the Lie algebra. |
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Dec 12 |
awarded | Teacher |
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Dec 12 |
answered | Classical mechanics without coordinates book |
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Dec 12 |
comment |
Electromagnetic Field as a Connection in a Vector Bundle Just to nitpick: a connection is specified by a one-form with values in the Lie algebra (not the adjoint bundle); but this is a one-form on the associated principal bundle. you only get a form description on the base manifold locally. You might be confused with the curvature which can be seen as a form on the base manifold with values in the adjoint bundle. |
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Dec 12 |
asked | Where is the Atiyah-Singer index theorem used in physics? |
