Is Our Universe Based on Finite Geometry?

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The discussion centers on the question of whether our universe is connected, with references to finite geometry. It highlights the distinction between mathematical concepts and physical realities, emphasizing that the question of connectivity is fundamentally a physics inquiry. The idea is raised that if the universe is not connected, it may be impossible to ascertain that fact due to our limited observational capabilities. The conversation suggests that understanding these concepts requires a blend of mathematical and physical perspectives. Ultimately, the nature of the universe's connectivity remains an open question in both fields.
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Is our space "connected"?

I was just reading a book called Introduction to Analysis, and I was curious if our space is connected. I could imagine a universe based on finite geometry. Has this already been proven one way or another?

Thanks,
mikfig
 
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Since you are reading a math book, you have to first understand that this is mathematics concept. Whether or not the universe is connected is a physics question. If it is not connected there is no way (?) of knowing it, since all we can see is what we are connected to.
 

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