**The article about** Aharonov-Bohm effects is interesting and comprehensive. The primary and best-known effect shows that the vector potential A of the electromagnetic field is a physical reality rather than a mathematical artifice. That reality was implicit in the Schrödinger equation, as the Hamiltonian *H* depends on **A** instead of the electric field **E** and magnetic field **B** = ∇ × **A**. But the same statement also refers to the Hamilton-Jacobi equation in classical mechanics, so one may expect that a similar effect exists in classical physics as well.

Indeed, classical mechanics is governed by the fundamental Hamilton-Jacobi equation for the action *S*: δ*S*/δ*t* + *H* = 0, which naturally follows from William Hamilton’s principle of least action. Both *H* and *S* depend on **A** (even with **E** = **B** = 0). Thus it is quite possible that the vector potential is also a physical reality in classical physics. Erwin Schrödinger arrived at his famous equation in 1926 by using a mechanics-optics analogy, the so-called eikonal equation. Hamilton in 1834 proved that eikonal and Hamilton-Jacobi equations are equivalent, so that the Schrödinger equation actually follows from Hamilton-Jacobi.

Had Hamilton known that classical mechanics does not always hold, quantum mechanics might have appeared a century earlier. ^{1} The analogy between the equations of classical and quantum mechanics provides a reason to search for experiments that might prove whether a classical analogue of the Aharonov-Bohm effect exists.