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Calabi-Yao Manifold?Mezzomorto said Apr 10, 2006, 8:54 AM: |
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Apparently the building blocks of reality, possibly related to consciousness. Anybody have some info, my dad had some difficulty explaining it to me. |
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Re: Calabi-Yao Manifold?Etceterist said Jul 10, 2006, 8:14 AM: |
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Regretably, many of my books are in boxes so I can't dig up the definition I'm familiar with, but the book I would immediately go to is Brian Greene's The Elegant Universe. Manifolds (as I recall, which may be inaccurate so no quoting me in your thesis or basing a religion on this) are what multidimensional geometries leave on geometries of a lower dimension. The most common one is a shadow. The Calabi-Yao manifold describes the geometry left by a string vibrating in M-space. The 'space' in which the string occupies has zones where the string will never go, and this is what defines the geometry. This space, mathematically, resembles a six dimensional construction published in two places before such things were centralized (thus the two names, and one wonders how mad Yao is at Calabi.) Contemplating six dimensional geometry makes my brain hurt, but it's like aching after exercize. The problem is we're 'designed' to exist in three long space dimensions and one long time dimension, and that's really not the way string theory claims the universe is. There are curled dimension amid the long. Now, what's a curled dimension? Well, that's tricky. They are outside the dimensions that define our perceptors (and our measuring devices, which are just perceptor augments). A single dimension is either long (a string) or curled (a ring). Many people think a two-dimensional geometry has to be like a sheet of paper, but a straw is also a two dimensional (one long, one curled) geometry. One cannot cast a circular shadow with a piece of paper without modification in a third dimension, but a circular manifold is possible with a straw, but only from an extremely limited direction. |
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Re: Calabi-Yao Manifold?Etceterist said Jul 10, 2006, 8:16 AM: |
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What that has to do with consciousness will take some more thought. |
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Re: Calabi-Yao Manifold?Michel said Oct 26, 2007, 10:21 AM: |
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Well, your talking about a form of conscioussness, a macro form. Don't you think? |
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