The Epistemic Status of the Wavefunction: A Materialist Critique of the Pusey–Barrett–Rudolph Theorem

This essay argues that the controversy over the status of ψ is distorted when three irreducible planes are conflated: the real (material dynamics), the concrete (the coupling that produces an irreversible mark), and theory (the symbolic organisation of predictions). Under this discipline, the Pusey–Barrett–Rudolph theorem is reassessed: its result does not show that ψ is a physical entity, but only constrains models that posit a hidden-state space Λ of ontic states λ and a bridge μψ(λ) between preparation and ontology. It is shown that this bridge reifies the linear structure of Hilbert space and clashes with Born’s quadratic rule, failing to carry phases and cancellations; the problem becomes visible with identical particles and with measurements in entangled bases. The argument also relies on strong assumptions (preparation independence and “strict zeros”) that are not imposed by standard quantum theory. By fixing the mark as a criterion of factuality (not a criterion of existence), the text dissolves false dilemmas: state update is an epistemic reorganisation at the level of theory after inscription, not a superluminal physical event; non-separability encodes inherited correlations, not action at a distance; and uncertainty expresses limits of concretion, not a deficit of information. The conclusion is that ψ can remain a symbolic operator for predicting distributions of possible marks, without ontological inflation.