Is Our Universe Based on Finite Geometry?

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SUMMARY

The discussion centers on the concept of whether our universe is connected, with a focus on finite geometry. Mikfig references the book "Introduction to Analysis" to explore this mathematical concept. The response clarifies that the question of connectivity pertains to physics rather than pure mathematics, emphasizing that if the universe is not connected, it would be impossible to ascertain that fact due to our limited observational capabilities.

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mikfig
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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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