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Questions about the (Spatial) Fourth Dimension

  1. Jun 4, 2014 #1
    I have a couple questions I have been thinking about:

    Say that there is a two dimensional, three dimensional, and four dimensional spatial worlds lined up. If I poked my finger through the two dimensional world they would see a circle. If a fourth dimensional person poked their finger through our world would we see a sphere?

    Another thing, would the opening of fourth dimensional tunnel be a 3D hole accessible from 6 sides?

    (If I don't know something obvious it's because I'm in seventh grade and haven't learned it yet.)
     
    Last edited: Jun 4, 2014
  2. jcsd
  3. Jun 4, 2014 #2

    ChrisVer

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    yes, what you'd see is a sphere.... it's like what they are saying for large extra dimensions... if you suddenly saw a a 3D object (let's say sphere) starting growing out of nowhere and then starting to collapse again until it disappears it would mean that a 4spatial dimensional object passed through our world dimensions...
    All these are funnily explained from the flatland... if you passed your finger in that world, the 2d people would see a shape appearing (let's say a circle) growing, and then disappearing as you take your finger out of their flat dimension...

    I don't get your 2nd question...
     
  4. Jun 4, 2014 #3

    micromass

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    I highly recommend you read the book Flatland, freely available here: http://www.gutenberg.org/ebooks/201

    It is very accessible but also a very good read. I still read it now and then because it's very well written.
     
  5. Jun 4, 2014 #4
    Thank you for all of the feedback.
     
  6. Jun 11, 2014 #5
    I gotta say, you are a very impressive seventh grader! Keep at it dude!

    Really though, there is a lot more that could be said about this topic. Not to be a hater, but ChrisVer basically answered yes and repeated your same line of logic. This whole question could be approached from a mathematical standpoint and I'm sure the results would be a lot more satisfying.

    e-
    For your second question, what do you consider to be a 3D tunnel?
     
    Last edited: Jun 11, 2014
  7. Jun 11, 2014 #6

    ChrisVer

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    well OK... just to be more precise... in the 2D world they wouldn't necessarily see a circle, neither in our 3D world would they see a sphere.... the correct shape is just the projection of the object...
    if your finger's projection is a circle, so be it... I am not so sure ...
     
  8. Jun 11, 2014 #7
    If you want some more food for thought, consider this: when you poke your finger across a 2D world, the 2D beings themselves won't see a circle since they will have 2D eyes and so will see in 1D :)

    Just as how we live in a 3D world with 3D eyes but see in 2D (although our brains make it look like we're seeing 3D).
     
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