- #1
Alwi
- 9
- 0
Hi all ! I am curious about the possibility of knotted strings. If we can accept the propagation of closed loop strings, then shouldn't we consider the possibility of knotted, closed loop strings ?
I do not see - offhand - any reason why a closed string cannot be knotted. Think of a propagating trefoil knot for example.
Of course - I would expect the mathematics to be much more involved. For a knotted closed string, the world-sheet is much more than a mere Riemann surface. It is now a general Algebraic Surface that may possesses self-intersections and other topological phenomena.
In this case - I would expect the knottedness of the string to have implications on the compact extra-dimensions.
I would like to hear some comments and ideas regarding this matter.
Best Regards
Alwi
I do not see - offhand - any reason why a closed string cannot be knotted. Think of a propagating trefoil knot for example.
Of course - I would expect the mathematics to be much more involved. For a knotted closed string, the world-sheet is much more than a mere Riemann surface. It is now a general Algebraic Surface that may possesses self-intersections and other topological phenomena.
In this case - I would expect the knottedness of the string to have implications on the compact extra-dimensions.
I would like to hear some comments and ideas regarding this matter.
Best Regards
Alwi