"Ideal
Knots," and "Knot
Energies:" Can the knot type be determined from the `ideal'
shape of the curve that minimizes a particular (two-body) potential?
(ram
video)
Jonathan
Simon in Ideal Knots (1998):
"Suppose
you have a knotted loop on a string, and you spread an electric charge along
the string and then let go; what will happen?"
This question has been a common "cocktail
party" topic among knot theorists for many years, ...