|
Guest
|
Hello,
In conformal geometry there is a 15-parameter symmetry group.
I have an rough conceptual understanding of the 3 spatial
translations, the 1 temporal translation, the 3 rotations, the 3
Lorentz "boosts", and the 1 dilation transformation.
I am having trouble conceptualizing the remaining 4 "special conformal
transformations", which appear to be combinations of translations,
rotations and possibly something referred to as "inversion"
If there are any math aficionados out there who can give me a more
intuitive, conceptual, visual understanding of what is going on
physically with these special conformal transformations, I would be
eternally grateful.
Maybe one approach might be to start with a homogeneous sphere and
say: "Ok, when we subject the sphere to a SCT, these physical
processes happen to the sphere.
Also, why are there specifically 4 SCTs?
Any help would be welcome and the more diferent perspectives, the
better.
Yours in science
Knecht
www.amherst.edu/~rloldershaw |
|
|
