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RE: Deciphering the monsters of our universe, aka black holes
I actually never knew that space is considered flat from a geometrical point of view but it makes pretty much perfect sense. I love how you differentiated between geometry and topology. I know you didnt come up with this youself, but the distinction really helped me a lot o understand the concept of space-time more.
What about that singularity... Does it actually make a rip in the fabric of space? Can we perscribe an elastic constant to space-time fabric like we can to different materials and then study the space-time as an actual material?
Of course I don't. This is much older than me. There were many people who wrote nice reports and lectures on this. I learned from there and now it is my turn to transmit :p
There is no way to know about that. The theory stops to be valid there and we actually do not know how to treat that.