Is C = π x D Possible in a Universe of Nothing?

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The discussion explores the validity of the equation C = π x D in a hypothetical universe of nothing, where space is infinite but devoid of matter. Participants argue that without any physical circles, the equation cannot hold true in a universe with no geometric shapes. However, some suggest that the mathematical relationship remains valid regardless of physical existence, as it is a construct independent of reality. The conversation also touches on concepts of spacetime, suggesting that geometry may still exist in this imagined scenario. Ultimately, the relationship between mathematics and reality is central to the debate.
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Sorry if I'm in the wrong forum. Maybe my questions don't make sense.

I have a thought experiment, and I wonder what folks will make of it.

I imagine a universe of nothing. Except empty space that is infinite in dimensions.

If there was no Big Bang, and we have a steady state, would it be true that C = π x D?
 
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richard9678 said:
Sorry if I'm in the wrong forum. Maybe my questions don't make sense.

I have a thought experiment, and I wonder what folks will make of it.

I imagine a universe of nothing. Except empty space that is infinite in dimensions.

If there was no Big Bang, and we have a steady state, would it be true that C = π x D?
Nope, it can't be, according to your original hypothesis. A universe with nothing in it also has no circles. :wink:
 
Where you have space, surely C = π x D would be true? There would be points in that space that would circumscribe a circle?
 
I think you are confusing math with reality. C=pi*D is a mathematical construct that does not depend on reality and remains true even if no one every draws a circle and none ever occur in nature.
 
"Nothing" means non-being, but your imagined "nothing" has spacetime, properties of dimension and infinity - geometry even though it is empty.
Whether that geometry yields C = π x D is the question.

Maybe you could look at flat (Minkowski) spacetime and curvred (de Sitter) spacetime to see if either of these might be what your are imagining...? Look for others searching "maximally symmetric space".
 
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