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Space-time self-intersection, I guess.

  1. Sep 6, 2010 #1
    I'm just going to start typing and hope I'm able to explain this in words.

    I'll start by defining the universe. Basically, I'm introducing this universe that is a 3 dimensional surface of a 4 dimensional hypersphere, and I'll be talking about the "dumbed down" versions of this, meaning, the 2 dimensional surface of a sphere, and the 1 dimensional surface of a circle.

    Another thing about this universe: If we take the 1 dimensional surface version of it, we can say that it "vibrates" in two dimensions, in the plane of its existence.

    Starting with the 1 dimensional surface version... Say there's a "tension" of this universe. Say the tension is small enough for this universe to vibrate enough to self-intersect. Also, there are only 3 things in this universe: Two stars, and an observer. One star appears red, and the other appears blue.

    I'll try to explain, now, how I visualize this universe. A basic circle, with the red planet at the "top," the blue planet at the bottom, on the opposite side of the universe, and an observer, equidistant from both stars, on the "left" of the circle. (We'll assume the universe is small enough that the observer can see the colors of both stars from his position.)

    Now for the intersection of this universe. Imagine pushing the red star towards the blue star, not through the 1d space of the universe, but through the 2d space outside the universe, until it intersected at a point, making sort of a figure 8 shape. Now push it further, so that it goes through itself, now intersecting at two points.

    I have three questions at this point:

    1. What would the observer see? Would he see the two stars "inside each other?" Would he see both the red star and the blue star in one position, but not interacting with each other as if they were that close?

    2. What happens if the observer approaches the intersection point? Tries to go forward into the space beyond it?

    3. This scenario in the higher dimension versions of this universe?

    Edit: I realize this is written terribly. I'm never really any good at explaining these sorts of things in words, but surely someone can entertain me..?

    Edit2: Maybe this is easier to understand... The 1 dimensional universe in a sort of a figure 8 shape, with the observer on the left of the figure 8, and the two stars on the bottom and top half of the opposite side of the figure 8.


    RedStar----------v
    Observer ---> OO
    BlueStar---------^

    Imagine the OO as being kind of like two circles tangent to each other, but it's really a figure 8. Also, the observer could technically be anywhere on the left-most loop. The point is, what would the observer see as he looked into the intersection, and what would happen as he approached it and eventually went through it?
     
    Last edited: Sep 6, 2010
  2. jcsd
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