Tuesday, 11 November 2025

Rethinking the Quantum State: Against Wavefunction Realism

Among recent efforts to clarify quantum foundations, one prominent strand insists on wavefunction realism: the view that the quantum state (the wavefunction) is a real, physical entity — not just a tool for prediction, but a fundamental element of ontology.

This move seeks to stabilise interpretation by elevating the wavefunction to the status of the “real stuff” of the universe. But doing so introduces new difficulties: What sort of thing is the wavefunction? Where does it exist — in ordinary space, or in a high-dimensional configuration space? And if the wavefunction is real, what is the status of the world we seem to experience?

From a relational perspective, the question is misframed. The quantum state is not a physical substance or object, nor a literal wave in some alien space. It is a structured expression of potential — not what is, but what may coherently be, within a field of constraint and relation.


1. The Wavefunction as Structured Potential

  • The quantum state does not describe the properties of a thing. It encodes the space of possible configurations available to a relational system under its present constraints,

  • It is not a wave moving through a medium. It is a grammar of affordance — a map of where and how coherence may be realised.


2. Against Ontic Inflation

  • Wavefunction realism “reifies” what is better understood as relational: it treats a tool for articulating constraint as a substance in its own right,

  • This leads to puzzles like: Is the wavefunction in configuration space realer than the 3D world? Are particles illusions, and only the wavefunction fundamental?

  • But these dilemmas arise only if one assumes that being = thingness. A relational view recognises degrees and modalities of actuality, not a single ontic substrate.


3. Configuration Space vs Relational Topology

  • Wavefunction realism often treats the quantum state as a field in high-dimensional configuration space. But this space is not “real” in the spatial sense — it is a bookkeeping device,

  • A relational perspective instead grounds potential in the topology of constraint relations — not a geometric space but a structure of interdependency,

  • The complexity of the wavefunction reflects the entangled structure of the system, not the existence of a literal higher-dimensional arena.


4. No Need for the Quantum State to Be “Real”

  • In relational ontology, actuality is not the only mode of being. The quantum state expresses a systemic potential — it is real in the sense of structured possibility, but not in the sense of thinghood,

  • Its role is not to depict what is “really there,” but to articulate what can become coherent under a given configuration of affordance and constraint,

  • The need to anchor the quantum state in substance reveals a discomfort with relational potential as an ontological category — a discomfort relational ontology resolves.


5. Meaning Without Metaphysical Heft

  • Treating the quantum state as “real” imposes classical metaphysical expectations on a non-classical domain,

  • The quantum state has meaning, not because it refers to a thing, but because it is constitutive of the field of relation that underwrites actuality,

  • It does not represent; it enables — it is a medium through which transitions become possible.


Closing

Wavefunction realism attempts to restore metaphysical footing to a theory that has long resisted it. But the real task is not to solidify the wavefunction as a thing — it is to rethink what kind of being is at stake in quantum theory.

From a relational perspective, the quantum state is not the furniture of the universe. It is the form of its unfolding — a structured potential within which actualities take shape, not a veil hiding what is truly real, but the very architecture of becoming.

In the next post, we turn to superposition — not as a ghostly blend of outcomes, but as the shape of unresolved potential in a system awaiting coherence.

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