What Are the Different Spaces Explored by Physicists and Mathematicians?

[Ben-CS]

Do you know the Complex Plane?
Quaternions aren't such a pain!
Do you sing soliloquies
Concerning Reimann Geometries
Of balancing your Tensors,
Spinors and Complex Vectors?
Phase Spaces! Hilbert Spaces!
Oh, so many, many wacky places!



This is an open-ended thread dedicated to the discussion of various spaces used by physicists and mathematicians.

 

[vacuum]

Add a few more lines and you' ve got a brand new university textbook on Mathematical Physics

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"Torture him, that's a good idea..."

 

[Mentat]

Do you mean that we should discuss different states of matter, that are described by physicists and mathematicians? Or do you mean different concepts of space itself, altogether?

 

[Ben-CS]

I mean different spaces. The real number line (denoted R) is a space. The complex plane (C) and the Euclidean plane (R^2) are other common examples of spaces.