Mathematical Name of this Space

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The discussion centers on the nature of space, particularly in relation to mathematical terminology. Participants explore whether the space surrounding us can be classified as Euclidean space, which describes three-dimensional points. While some argue that physical space isn't strictly Euclidean, they acknowledge it serves as a useful approximation. The conversation also touches on the transition from Euclidean to Minkowski space in the context of physics, particularly in relativity. Ultimately, the space where a bouncing ball exists is identified as having three spatial dimensions and one temporal dimension.
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What is the mathematical name of the space that I am living in?
I am surrounded by Space and so I am curious to know what the name of this Space is. Is this Space given any name by a Mathematician? I suspect that this Space may be called Euclidean Space because Euclidean Space knows how to present point in three-dimensions. Euclidean Space talks about three-dimensions. Euclidean Space can tell me how to put a point in three-dimensional Space.
 
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Yes, you live in Euclidean space.
 
Math_QED said:
Yes, you live in Euclidean space.
Unless he takes a flight, then he lives on a manifold.

And if he is rich enough to go to space, he will live in spacetime.

Euclid - Newton/Riemann - Einstein ... and everybody is looking to become the next one in that row :smile:
 
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Newtonian mechanics uses an Euclidean space. Special relativity uses a Minkowski space. In general relativity we have a Minkowski space locally, but the global structure is more complicated.
 
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Frankly, your question makes no sense! You say "I am surrounded by Space" and since your are a physical object, you are talking about physical space! No, that space is NOT given any name by a Mathematician. Physics is not Mathematics! With apologies to Math_QED physical space is NOT "Euclidean space" although as a mathematical model it might be a good approximation. And would say the same about Minkowski space- as a mathematical model perhaps a better approximation but still an approximation and a model, not a real physical thing.
 
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HallsofIvy said:
I am surrounded by Space
If I say that: There is a ball that is bouncing.
What would be the name of the Space?

Thanks.
 
pairofstrings said:
If I say that: There is a ball that is bouncing.
What would be the name of the Space?

Thanks.
Living room?

It can be mathematically modeled in an Euclidean space.
 
pairofstrings said:
If I say that: There is a ball that is bouncing.
What would be the name of the Space?
A rose by any other name would smell as sweet.
 
pairofstrings said:
If I say that: There is a ball that is bouncing.
What would be the name of the Space?.
The ball exists in a space of three spatial dimensions and one temporal (time measurement) dimension. As the ball moves up or down, its position in the spatial dimensions changes, and the time changes.
 

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