The 8 Dimensional Gosset Polytope

Discussion in 'Astronomy, Exobiology, & Cosmology' started by spidergoat, Mar 22, 2007.

  1. spidergoat pubic diorama Valued Senior Member

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  3. pinkiss Registered Senior Member

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    image looks nice but winamp equalizer can do better

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    and it takes about 2seconds instead of 4 years.In the article its written that it has 8dimensions but from this pic its possible to see only 1D view.And i hardly bielieve that it is usefull because we wont have any use of it for next 50years

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    .
     
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  5. (Q) Encephaloid Martini Valued Senior Member

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    String theory prediction?
     
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  7. one_raven God is a Chinese Whisper Valued Senior Member

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    I read the article about solving this problem the other day.
    I have to say it didn't do anything for me at all.
     
  8. BenTheMan Dr. of Physics, Prof. of Love Valued Senior Member

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    Not quite

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    And it's not clear to me what use this will have for string theory, although I'd certainly correct myself if someone else knows something different. Most of the structure of E8 that we are interested in are the lowest dimensional reps, which I can generate with my computer in about two seconds. The larger reps are not a natural feature of strings.
     
  9. darksidZz Valued Senior Member

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    What the hell is it?
     
  10. BenTheMan Dr. of Physics, Prof. of Love Valued Senior Member

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    I don't know what the picture is. It looks like the bird's eye view of a flaminco dancer.

    Here's a guess though.

    The algebra E8 is a 240 dimensional algebra---this means that there is a 240 dimensional space that is naturally described by E8. The "roots" of the algebra are basis vectors. I think this thing is a projection to two dimensions of the 240 dimensional shape.

    The easy example is the algebra SO(3). This is a 3-dimensional algebra, and the root vectors make a sphere in three dimensions. The root vectors of SO(3) can be written the unit vectors along x, y, and z.
     
  11. (Q) Encephaloid Martini Valued Senior Member

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    Thanks Ben, I've tried to wrap my head around string theory, but it's just too damn tough. The math is well beyond me.
     
  12. orcot Valued Senior Member

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    It looks like a mandala
     

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