| Topic for open discussion: Spin Values of Figure-Eights
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| June
15, 2020, post by Dave Santos Spin Values of Figure-Eights Some starting Fig8 Spin-State parameters:
As usual, analogy across physics is generally helpful, but each sub-domain has distinguishable quirks. Spin is a basic category of fundamental physics for us to work out for kites. Let's identify "spin" every which way, having studied this far. For example two kites on opposite sides of the planet have opposite up +1/2 or down -1/2 spin, relative to each other, and the planet zero spin. Similarly, one could say the planet has opposite spin to a single kite, creating a nice paradox from zero-spin case. Homework: Ising Models of spin units in 1D chains and 2D surfaces. |
| June 14, 2020 Dave Santos notes: FIgure-of-Eight as Spin 1/2 and -1/2 ?
==================Trying to confirm the dancing kite formally has fractional spin for 8s, as it starts to spin one chiral way, then the other, but does not loop. Kite has chiral integer spin for loops. If this is correct, it opens up a lot of shared analog spin math and insight. Dave, Facing clockwise and anticlockwise as to chirality is not settled with me; I need more study; is the mirror image of cw the cw or ccw? Answering might lead to chirality being applied or not being applied to figure-8; I do not have proof here, just a bit of dizziness yet. [ ] "for 8s" ???? for figure 8s .... not 8 seconds. [ ] Why "fractional" spin. Is not a figure 8 made of a full spin followed by another full spin? +1 and then -1 for sum of zero? [ ] "chiral integer spin" ?? "dancing kite" ??? [ ] Specify, please. One tethered wing in a figure-8 dance? Or two tethered wings in a circular dancing after branching from single main tether? ??? A single tethered wing in figure 8 performs a full topological circle clockwise followed by a full topological circle anti-clockwise; such keeps main tether untwisted or at zero average-state of twist. wiki/Chirality wiki/Clockwise wiki/Chirality_(physics) Spin?
========================== Dave Santos notes: Only kite figure-of-eight (extended Dutch roll). I always use "sec" for seconds. Part of the complexity is the phonon charge (in Wsec) embodied by the wing during the eight maneuver is a separate part of the quasi-particle packet, and could be considered a separate particle at each phase of the eight as its spin state evolves. At the very least, it looks like analog-spin is ours to see. In a twisted rope its frozen helical waves. In standard physics it often denied to be literal spin, but I think it may be frozen spin or the polar spin of a smoke-ring dynamic. Also, Boris, et al's "Dancing Kite" is NOT the original sense of the word. I am only talking here about the traditional dancing-kite motion of one kite, the Dutch-roll-to-fig-8 dance. |
