The present work proposes an alternative approach to the problem of the emergence of classicality. Typical approaches developed in the literature derive the classical behaviour of a quantum system from conditions that concern the value of the parameters deemed responsible of non-classicality, like Planck constant. Our first step in addressing the problem is instead to identify the physical origin of non-classicality of quantum physics. Nowadays the deepest origin is identified in the impossibility of a simultaneous consistent value assignment to every set of quantum observables. To attack this impossibility a concept of ``evaluation'' is then introduced, which allows for a consistent value assignment to non-comeasurable observables whenever an established set of conditions is satisfied. It is shown that in the case of the motion of the center of mass of a large rigid body evaluations exist that realize a consistent value assignment to both the position and the velocity of the center of mass of the body. In so doing emergence of classicality is explained by overcoming the obstacles to the simultaneous value assignments that allow for a classical description of the phenomenon. This result prompts to search for extensions and generalization of the approach.
In the paper, the question whether truth values can be assigned to the propositions before their verification is discussed. To answer this question, a notion of a propositionally noncontextual theory is introduced that in order to explain the verification outcomes provides a map linking each element of a complete lattice identified with a proposition to a truth value. The paper demonstrates that no model obeying such a theory and at the same time the principle of bivalence can be consistent with the occurrence of a non-vanishing "two-path" quantum interference term and the quantum collapse postulate.
In the paper, the question whether truth values can be assigned to the propositions about properties of a state of a physical system before the measurement is discussed. To answer this question, a notion that a propositionally noncontextual theory can provide a map linking each element of a bounded lattice to a truth value so as to explain the outcomes of experimental propositions associated with the state of the system is introduced. The paper demonstrates that no model based on the propositionally noncontextual theory can be consistent with the occurrence of a non-vanishing two-path quantum interference term and the quantum collapse postulate.