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  "map_content": "John Baez talks about many of these topics in the video I shared in this thread. You can see it here: https://app.treechat.com/p/060591cb-14f9-492b-96bd-ee44b129b7a4\r\n\r\nHe talks about the \"Clifford Algebras\" which describe something called the Double Cover of the Orthogonal Group.. and they represent a capacity to use matrices to produce algebras that allow for this kind of manipulation. https://en.wikipedia.org/wiki/Spin_group\r\n\r\nI think that computer graphics famously use this kind of math to make very easily manipulatable 3d graphics such as avatars for video games or 3d structures inside the game that need to move and pivot while retaining their orthogonality such as moving towards a tree while also spinning and looking up.. Using this kind of vector relationships for the object allows for all three actions being produced simultaneously to produce a visualization that matches what our own eye would see if we were doing the same but in the physical world instead of a virtual one. In other words, this Clifford algebra, the spin groups, the vectors, the matrices, etc. help produce a visually consistent experience between physical and virtual worlds. This allows for the virtual world to be experienced in some ways as an extension of the physical world, and in some ways helps us to accept the world as \"real\" or \"authentic.\"",
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  "timestamp": "2025-12-09T01:23:35.000Z",
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