Is Our Universe Based on Finite Geometry?

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In summary, the conversation discusses the concept of space and its connectivity. It is believed that the universe is infinite and constantly expanding, making it impossible for us to reach the edge of space with our current technology. Space is connected through gravitational forces and the curvature of space-time caused by massive objects. All objects in space are connected through the force of gravity, supported by evidence such as the observed movement of galaxies and the theory of general relativity.
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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.
 

1. Is there an end to space?

No, the universe is believed to be infinite and constantly expanding.

2. Can we travel to the edge of space?

Currently, with our technology, we cannot reach the edge of space. The distance is too vast and our current spacecrafts are limited in their capabilities.

3. How is space connected?

Space is connected through gravitational forces and the curvature of space-time caused by massive objects such as planets and stars.

4. Are all objects in space connected?

Yes, all objects in space are connected through the force of gravity. Even objects that seem isolated are still affected by the gravitational pull of other objects in the universe.

5. What evidence supports the idea of a connected space?

There is a lot of evidence that supports the idea of a connected space, including the fact that galaxies and clusters of galaxies are observed to be moving closer together, indicating that the universe is expanding. Additionally, the theory of general relativity also provides a framework for understanding how space and time are interconnected.

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