4th dimensional objects
I read some parts of my friends book titled Hyperspace and I got to think about 4th dimensional objects. As 3rd dimensional beings we are unable to directly see a 4th dimensional beind/object. However, we have ways of detecting them such as seeing thier shadow. I've also read in other books such as A Brief History of Time by Hawking that most of the Universe is "dark matter." It seems to me that most of the Universe is made up of higher dimensional stuff. That theory has been debated by many scientists but it is generall accepted.
My questions are: Why would the universe be made up of mostly higher dimensional matter? Could it be possible that a small portion of that matter is an entire other Universe that is 4th dimensional, then another portion 5th dimensional and so on? And if thats the case is it possible that smaller portions of the universe are made up of 2 and/or 1 dimensional matter?
Another thing that tends to bother me when it comes to theories on higher dimensional matter is that most of the theories are based on the relationships between 2nd and 3rd dimensional matter. Such as a 3 dimensional cube can be unravelled into a 2 dimensional cross shape. This we can observe. However, it is then related to a 4th dimensional "cube" or "hyper cube" can be unravelled into a 3 dimensional cross shape. To me it doesn't make a whole lot of sense because the 3rd and 4th dimensions can have entirely different relationships to eachother. I base this off of the fact that some math equations only work under certain conditions such as piecewise functions. If math is unable to yeild proper answers some times then it is possible that the way different dimensions relate to eachother can be different.
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