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Thread: E8

  1. #1 E8 
    Forum Senior miomaz's Avatar
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    E8 should be a symmetric 248 dimensional object that (I don’t know why) had a mathematical problem.

    I would like to know what this problem is.

    Oh and the 248 dimensions are spatial I would guess, or am I wrong?
    In what kind of way is the object symmetric (mirrored ect.). I understand allot about higher dimensions so explaining that is excrescent.

    http://www.npr.org/templates/story/s...toryId=9015527


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  3. #2  
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    I moved this from physics, after a lifetime in physics, I just cannot make the connection, - I think it belongs in the maths section.


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  4. #3  
    Forum Professor river_rat's Avatar
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    Mega, E8 is one of the symmetry groups for one flavour of super symmetric string theory - that's the physics connection.
    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  5. #4  
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    I just tossed a coin - it's definitely maths - a coin can't lie!
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  6. #5  
    Forum Senior miomaz's Avatar
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    E8 itself is geometry(therefor mathematical,), but partly of my questions have to do with physics and the dimensions. It seems that no one knows more than I do about E8.
    I haven't come to fight my word, but to find the truth.
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  7. #6  
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    Can you please explain what is this group is about?
    where are we? what are we?
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  8. #7  
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    Well Miomaz, I'll leave it to you, but I suspect the mathematicians are better able to answer than the physicists who spend most of their time arguing about what 1 4D 'cube' looks like, - Your call mate.
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  9. #8  
    Forum Senior miomaz's Avatar
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    the 4d cube's shadow, one might want to say, a point of view simplifying the perspectives to a lower dimension

    here from 4d to 3d


    and here from 3d to 2d (rectangle)

    in a top-down perspective.

    As you see, the 3d cube drawn in a top down view, can be simplified to a 2d object.
    The same rule applies for the 3d to 4d, while the picture of the 4d cube just a "shadow" or at an angle in the 4th spatial dimension that lines up to again the 3d shadow.

    Sounds complicated but it isn't.
    I haven't come to fight my word, but to find the truth.
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  10. #9  
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    how this relates to E8?
    where are we? what are we?
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  11. #10  
    Forum Senior miomaz's Avatar
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    E8 is a 248 dimensional circle (which wouldn't be a circle anymore)

    the problem itself to me is unknown.
    I haven't come to fight my word, but to find the truth.
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  12. #11  
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    Well, it's a Lie group. Ready for that? Know what a group is, know what a manifold is? A Lie group is both, simultaneously. Lie groups also have an associated algebra, which is nice, but tough, in a way.

    Satisfied? Will I say more?

    EDIT: This is cool: http://golem.ph.utexas.edu/category/..._about_e8.html

    Do I understand it? Hmm, ask me tomorrow!
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