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Graphs for Real, Complex, Quaternions, and Hypercomplex Numbers

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Uploaded by on Jul 25, 2009

Graph theory is an area of study that details the ways vertices can be connected along edges. Edges can be either undirectional or directional. In this video, graph theory is applied to number theory with some interesting results. All directional edges are imaginary numbers. All undirectional edges are either the real numbers or hypercomplex numbers. It is speculated that the real numbers can most accurately be mapped to time, and the imaginary numbers to space.

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Uploader Comments (sweetser)

  • Holy crap that @Subspace4d person seems like a right douche bag.

  • @bikutorusan Such things happen on YouTube, water under the bridge.

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All Comments (12)

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  • Where are pipes that small? Don't you just multiply the rotation on the wrong angle by another spherical equation? Like it says to use sine waves, but nature would do it the stupid way.

  • @sweetser They sure do, my friend, they sure do. It's a sad thing that people can't approach a fellow human being with a kind initial attitude rather than a snarky and arrogant one. Take care, Fellow Person!

  • Yup. I live in Boston and was able to audit graduate physics classes at MIT and Harvard. I am unfamiliar with the work of Burkhard Heim. I did read the wikipedia page, but that does not make one an expert. Looks like there are a few web sites devoted to his work. For now, I will focus on getting my own work in a peer-review journal. Good luck.

  • Have you ever studied Physics?

    Do you know the theories of Burkhard Heim?

  • Sounds more like speculation, which you are free to do.

    Time is not like the 3 space dimensions. The video shows a real dimension for time, and the imaginary axes for space, which makes up 3 complex numbers total that are pairs of real numbers with imaginary numbers.

    If I could know what you are going to do, and how to pick lottery ticket numbers, I would be a wealthy man. Good luck.

  • In fact we have 8 dimensions. We have 4 normal space dimensions and 4 complex dimensions :)

    You dont know what I am going to present to the world soon.

  • Thank you for a cryptic critique. Quaternions are used by game designers and rocket scientists to do 1 job: 3D rotations. There are books and software devoted to this task. It is funny that a 4D tool is needed to do a 3D job.

    Hypercomplex numbers are a math novelty. They are not widely used.

    Your user name suggests you know what 4D means. We will have to disagree on this since I think it means 3 spatial dimensions plus one for time. So it goes.

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