Timeline for Why is the Hodge dual so essential?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2014 at 10:59 | history | tweeted | twitter.com/#!/StackPhysics/status/447689031808479232 | ||
| Mar 23, 2014 at 1:43 | comment | added | James S. Cook | You might enjoy pages 136-138 of supermath.info/ma430.pdf there I investigate a toy 5-dimensional E and M where the difference between the electric and magnetic field are more pronounced. | |
| Mar 23, 2014 at 0:00 | vote | accept | ZachMcDargh | ||
| Mar 22, 2014 at 19:49 | answer | added | Stan Liou | timeline score: 15 | |
| Mar 22, 2014 at 18:28 | comment | added | Martin Ueding | I have a good picture of what $\vec B$ and $\vec E$ mean physically and what effect they have onto classical charged particles. I do not have a good picture of a two-form, yet. I'd like to, but I think I will have to wait until I did GR to get this. | |
| S Mar 22, 2014 at 18:03 | history | suggested | JamalS | CC BY-SA 3.0 |
Improved LaTeX, added tag
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| Mar 22, 2014 at 18:01 | review | Suggested edits | |||
| S Mar 22, 2014 at 18:03 | |||||
| Mar 22, 2014 at 17:55 | comment | added | ZachMcDargh | @JamalS Yes, but treating the magnetic field as a vector is implicitly using its dual. I am looking for something that expresses Ampere's law treating $B$ as a 2-form. | |
| Mar 22, 2014 at 17:48 | comment | added | JamalS | OP: "Do these laws have formulations that do not use Hodge duals?" - Have you checked Wikipedia? Gauss' laws and Ampere's laws may be written in terms of the $E$ and $B$ fields using vector calculus. | |
| Mar 22, 2014 at 17:47 | comment | added | ZachMcDargh | I meant that tensors are less familiar than vectors, not differential forms. So people are more comfortable thinking of the magnetic field as its associated pseudo-vector than as an antisymmetric tensor. | |
| Mar 22, 2014 at 17:46 | history | edited | ZachMcDargh | CC BY-SA 3.0 |
added 13 characters in body
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| Mar 22, 2014 at 17:36 | history | asked | ZachMcDargh | CC BY-SA 3.0 |