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What is the field F(r) with the least symmetry and which obeys
lim F(r) as r --> oo = lim F(r) as r --> 0
?
lim F(r) as r --> oo = lim F(r) as r --> 0
?
Geometric symmetry. I am quantifying the symmetry as a (metric) space.What sort of symmetry? In what way are you quantifying the symmetry?
"Constant magnitude" (which is incorrect; r is variable) and "isotropic in direction" (which is redundant) refer to the radius vector r correctly being "isotropic at every point." By "fractal field" I speculate that the embedded field as defined may not fill the original space at every point.What do 'constant magnitude', and 'isotropic in direction', or 'fractal fields' mean (in this context, or any context for the last two; isoptropic means 'equal in all directions, so how can anything be isotropic in direction?' )?