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It is absolutely related, though most real world things we call knots are usually in fact closer to tangles or links with the ends of the rope looping back to the other end virtually.

Neck ties are a mathematical knot if you again assume the two ends are connected. See other comment in this thread.

Knot theory here only determines the "shapes" of the knots and which are "allowed", there is no friction, width, etc.

https://en.m.wikipedia.org/wiki/Link_(knot_theory)

https://math.stackexchange.com/questions/217670/is-there-a-m...

https://en.m.wikipedia.org/wiki/Physical_knot_theory




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