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Forces are human inventions which help us model our
observations. However, quantum mechanical models are
not always simply understandable in terms of this concept.
(As a pedagogical crutch, you might introduce the "exchange
force" to help in some cases where the Pauli exclusion
principle is the controlling factor under discussion.)
How to deal with this hypothetical situation? It is a
pedagogical issue. I have no problem in pretending that
Galilean kinematics is exact, but I will now face a problem
of pretending that electrostatics I teach is logically
consistent with mechanics. Galilean kinematics is at least
approximately correct in common situations. Something
is missing in our ways of introducing e&m. What is it?