In Part II of the paper we discussed the central role of the number-archetype 137 in some great medieval works related to St Stephen's court. On the basis of the hermeneutical interpretation of certain of Pauli's famous dream series, we intend to show his hypothetical "synchronistic (unconscious) recognition" of the dominant representations and meanings of the medieval works discussed in the earlier parts of this paper, which can be related to his isomorphic mythological and "physical" dream patterns. We can also conclude that Pauli, collaborating with Jung, himself confirms in his consistent "dream-messages" the symbolic meaningful relationship and structural isomorphy between the basic quantum-physical model's features (e.g. the fine structure constant) and their hypothetical primordial images appearing even in the actual medieval works.