In contrast, the present work is motivated by a more fundamental question concerning the physical nature/characteristics of a strongly correlated electronic system: Given a Hamiltonian and an exact eigenstate, what quantity or property can be associated with the regime of strong correlation? Furthermore, what is implied about physical reality when this quantity is large? We require such a quantity to be rigorously defined, physically interpretable, and generally meaningful for both molecules and quantum lattice models (other more technical properties are discussed in the final section). Note that this type of inquiry is distinct from classifying correlation regimes based on which approximate methods are broken. These two approaches to elucidating strong correlation are often conflated.