Does mobius transformation assume 3-D Euclidean space?

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Layman FJ
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Are the assumptions in mobius transformation valid in Newtonian physics?
 
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Möbius transformations are mathematical operations, they cannot be "valid in Newtonian physics". That's like asking "is the number 6 valid in Newtonian physics?"
 
mfb said:
Möbius transformations are mathematical operations, they cannot be "valid in Newtonian physics". That's like asking "is the number 6 valid in Newtonian physics?"
If we consider rectilinear motion as circular motion along a circle of infinite radius,will it be mathematically correct ?
 
mfb said:
You can do that, it has no relevance to physics how you call things.
Thanks for the reply.