Interpretations

wavefunction ontology

Wavefunction ontology is the debate over what kind of thing the wavefunction is: a real physical object in its own right, or merely a compact summary of information and probabilities. The question is sharper than it first sounds, because the wavefunction is a strange candidate for a physical wave. For a single particle it lives in ordinary space, but for two or more particles it lives in a high-dimensional configuration space and takes complex values — features no ordinary wave in three-dimensional space possesses.

If the wavefunction is real, then this vast abstract space, not the familiar three dimensions, would be where the fundamental action happens, which many find a startling picture of the world. If instead it is informational, the wavefunction is more like a probability distribution — a tool for prediction that updates when we learn something, with no need to picture it as a substance spreading through space. Each option carries its own conceptual cost.

It is worth being clear about what is not in dispute. Whatever the wavefunction's ultimate status, the Born rule means its squared magnitude gives probabilities, and those probabilities are confirmed to extraordinary precision. The ontology question is about the picture behind the predictions, and which way you lean shapes how you read collapse, entanglement, and nonlocality — but it does not change a single experimental number.

ψ for N particles lives in 3N-dimensional configuration space, not ordinary 3D space

A real wavefunction would make a vast abstract space fundamental; an informational one need not.

Calling the wavefunction a 'wave in space' is a useful first picture but misleading for many particles. It is a complex-valued amplitude on configuration space whose squared magnitude, via the Born rule, gives probability density — not a vibration you could feel.

Also called
reality of the wavefunctionontic status of psi波函数的实在性波函數的實在性