Nominalism, in the philosophical sense, is the view that abstract concepts, such as universals or general ideas, do not have an independent existence but are merely names or mental constructs. Quantum mechanics, on the other hand, is a branch of physics that describes the behavior of particles and systems at the smallest scales, where phenomena often exhibit probabilistic and non-intuitive characteristics.
It's important to note that nominalism is primarily a position in metaphysics, concerned with the nature of reality and the existence of abstract entities. Quantum mechanics, on the other hand, is a scientific theory and a mathematical framework used to describe the behavior of particles and systems in the physical world.
The question of whether nominalism is quantum mechanically verifiable is somewhat complex. Quantum mechanics itself does not provide direct evidence or address the issue of the existence of abstract entities. It primarily focuses on describing and predicting the behavior of particles and their interactions.
The question of nominalism's compatibility with quantum mechanics would depend on how one interprets and applies nominalism in the context of quantum phenomena. Nominalism generally deals with concepts and entities beyond the physical realm, whereas quantum mechanics focuses on the physical properties and behaviors of particles. Thus, the two may not be directly comparable or address the same aspects of reality.
It's worth noting that the philosophical implications and interpretations of quantum mechanics have been the subject of ongoing debate and discussion. Some philosophers and physicists have explored the potential relevance of quantum mechanics to broader philosophical questions, including the nature of reality and the relationship between the physical and the abstract. However, any claims about the verification of nominalism or its compatibility with quantum mechanics would ultimately depend on the specific philosophical interpretation and arguments put forth.