Talk:Tangloids

Physics Low‑importance

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Games (inactive)

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Unwarranted Identification[edit]

How can

$S^{-1}({\vec {\sigma }}\cdot {\vec {v}})S=R{\vec {v}}$

be true? The left hand side is a 2x2 complex matrix and the right hand side is a 3-dimensional real vector?

Ok. If we consider that $({\vec {\sigma }}\cdot {\vec {v}})$ is trace zero and Hermitian then we can use the isomorphism between the real vector space of Hermitian trace zero 2x2 complex matrices and 3-dimensional real vector spaces but still this is a non-trivial isomorphism and not an equality! — Preceding unsigned comment added by Tigelriegel (talk • contribs) 16:50, 29 August 2023 (UTC)[reply]

Mathematical articulation[edit]

This section is obviously not redacted in an encyclopedic manner, yet it's probably the best introduction to the topic that I've read on Wikipedia. --50.71.134.166 (talk) 18:51, 11 December 2020 (UTC)[reply]

any axis[edit]

"...around any axis for two full revolutions." What does this even mean? there is only one axis (through the string) about which to rotate the block -- and how exactly does this 'game' teach players about the "calculus of spinors"? It doesn't seem like a very fun game! —Preceding unsigned comment added by 132.170.129.125 (talk) 03:37, 6 February 2008 (UTC)[reply]

The "any axis" wording was eliminated on 24 December 2010. Although I haven't yet checked the references, I believe the original wording was correct and ought to be restored. One could, for example, rotate one rod about its own long axis, with the result that each of the strings would be wound twice around the rod. The trick would be to unwind the strings (especially the middle one, but even the side strings would be non-trivial since they would now contain extra twist) without rotating the rod. Assuming the apparatus lies flat on a table, one could also rotate about the axis perpendicular to the table. (There would need to be slack or stretch in the strings to accomplish this.) And there are, of course, infinitely many other directions in three-dimensional space one could use. I don't even think it necessary that the 720 degree rotation be about a single axis. One could rotate 360 degrees about one axis and then 360 degrees about a different axis, for example.

If anyone with more expertise than I have wants to fix this, please do. Otherwise, I will try to do some research. Will Orrick (talk) 07:44, 8 December 2019 (UTC)[reply]

I can't find the Watch this page link[edit]

just adding this cause I can't find the "Watch this page" link and I wanna keep an eye here --TiagoTiago (talk) 21:19, 1 September 2009 (UTC)[reply]