I Does mobius transformation assume 3-D Euclidean space?

AI Thread Summary
Möbius transformations are purely mathematical operations and do not have validity within the framework of Newtonian physics. The discussion emphasizes that questioning their validity in a physical context is akin to questioning the relevance of a number in physics. The concept of rectilinear motion being treated as circular motion along an infinite radius is mathematically permissible but holds no significance in physical terms. The conversation highlights the distinction between mathematical constructs and their application in physical theories. Ultimately, the nature of mathematical operations remains independent of physical interpretations.
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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 ?
 
You can do that, it has no relevance to physics how you call things.
 
mfb said:
You can do that, it has no relevance to physics how you call things.
Thanks for the reply.
 

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