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T duality revisited

Last July, I made a post about T-duality, a duality in string theory between small and large distance scales, wherein I linked to the zoomquilt flash animation. Here's another (completely metaphorical) way on the net I found of visualizing such things. Behold in amazement as these two images interchange when the scale on which they're viewed changes:



Close up, the angry face is on the left. Viewed from further back, their roles are reversed!... in much the same way as momentum and winding number are interchanged in T-duality. Actually, these images could be used almost as well as a metaphor for what happens in more traditional quantum field theory, where the coupling constants (such as the fine structure constant &alpha in QED, approximately 1/137 when viewed from far away) change their values or "run" as you look closer and closer. In this case, the coupling constants don't usually switch with each other, but with the aid of supersymmetry they might all converge to the same value if you zoom all the way in to the GUT scale.

If you don't feel like walking across the room to view the above images from afar, click here instead to see the images automatically scaled down to different sizes which also reveals the duality.

Comments

( 10 comments — Leave a comment )
amberphlame
Mar. 14th, 2006 06:55 am (UTC)
scrolling this post real fast will also do the trick btw!
:)
troyworks
Mar. 14th, 2006 07:37 am (UTC)
your right, nifty!
amberphlame
Mar. 14th, 2006 07:47 am (UTC)
I am all about resolving enigmas through different approaches.
troyworks
Mar. 14th, 2006 08:29 am (UTC)
now if we just put them on the end of some poi, we might get a similar effect.
amberphlame
Mar. 14th, 2006 08:40 am (UTC)
one wonders if centrifuge forces would have the same effects!
troyworks
Mar. 14th, 2006 04:32 pm (UTC)
I'm all for centrifuging people.
spoonless
Mar. 14th, 2006 08:37 am (UTC)
The most interesting part to me is how you can't see the far-away image at all while you're looking closely at it. It's like our brains can see either the forest or the trees, but not both at once. Somehow, seeing the details of the image must inhibit us from seeing the forest, and vice-versa.

Perhaps T should really stand for Tree-Forest duality :)
amberphlame
Mar. 14th, 2006 08:49 am (UTC)
I like the tree forest duality, nice title for a paper.
while i can't acutally see it if i focuse\ my attention on the "nice" photo close up something in me makes me ill, like at some level my brain is registering eventhough my eyes are not actually "seeing". on some level I still react to it.

huummm...

kaolinfire
Mar. 14th, 2006 07:00 am (UTC)
That's #(*$&#( awesome! =)

I had to walk across the room, just to be sure.
luxvalence
Mar. 14th, 2006 06:47 pm (UTC)
Highly highly disturbing... *shudder*
( 10 comments — Leave a comment )

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