Question

This perhaps may be very naive question, but could one consider an analogy tothe parallel transport(as defined in this Wikipedia article) being a ball rolling on a flat table surface? If so, is then such an example also an example of holonomy or not?

Options:

A) Yes, the analogy is suitable, and this example is also illustrative of holonomy.
B) No, the analogy is not fitting for parallel transport, but it does depict holonomy.
C) Yes, the analogy fits parallel transport, but it does not demonstrate holonomy.
D) No, neither does the analogy fit parallel transport nor depict holonomy.

Answer 1

An analogy can be made between parallel transport and a ball rolling on a flat table surface, but this analogy does not depict holonomy.

Step-by-step explanation:

An analogy to parallel transport can be made with a ball rolling on a flat table surface. In this analogy, the motion of the ball on the table represents the concept of parallel transport. However, this analogy does not depict holonomy. Holonomy refers to the rotation or twisting of a vector or object after it is parallel transported around a closed loop in a curved space. In the analogy, the ball on the table does not experience any rotation or twisting.