1. On the Curious Habit of Properties Belonging to Things

The Senior Common Room at St Anselm's

Late afternoon. Rain presses gently against leaded windows. A coal fire mutters in the grate. Professor Quillibrace sits with a cup of tea and a notebook. Mr Blottisham stands near the mantelpiece radiating premature certainty. Miss Elowen Stray occupies a nearby armchair, listening with quiet concentration.

Blottisham: Right then, I think I've grasped quantum mechanics at last.

Quillibrace: I await enlightenment.

Blottisham: The whole business is really rather overblown. Classical physics says things have properties. Quantum physics merely says we don't know what they are until we look.

Quillibrace: Ah.

Blottisham: Rather elegant, really.

Quillibrace: Rather dead, actually.

Blottisham: Dead?

Quillibrace: Your argument. It expired several words ago.

Blottisham: Nonsense. A particle has a position, a momentum, and all the rest of it. We simply lack complete information.

Quillibrace: You are smuggling a substantial metaphysical commitment through customs and hoping no one notices.

Blottisham: Am I?

Quillibrace: Entirely. You assume that properties belong to things in the first place.

Blottisham: Well naturally they do.

Quillibrace: Naturally?

Blottisham: Certainly. What else could a property do except belong to something?

Quillibrace: One might equally ask what colour does except belong to an object, until one encounters a rainbow and discovers that matters are not quite so accommodating.

Blottisham: I fail to see the problem.

Quillibrace: Classical physics begins with a remarkably quiet assumption: that objects possess determinate attributes.

A particle has a position.

A particle has a momentum.

A system has a state.

The values may change, but the architecture remains untouched.

Blottisham: Exactly.

Quillibrace: Quantum theory does not merely alter the values.

It begins removing the architecture.

Blottisham: But surely the properties are still there somewhere underneath?

Quillibrace: Underneath what?

Blottisham: Underneath... the uncertainty.

Quillibrace: Ah yes. The famous ontological basement where hidden properties apparently spend their time waiting to be discovered.

Blottisham: You're making it sound absurd.

Quillibrace: I am merely describing it faithfully.

Elowen: The issue seems to be that classical thinking starts by assuming the world has already been divided into entities carrying properties.

Quillibrace: Precisely.

Elowen: Even ignorance leaves that structure intact. We may not know where the particle is, but we assume it is somewhere.

Quillibrace: Quite so.

Blottisham: And quantum mechanics says—

Quillibrace: Quantum mechanics says that this assumption ceases to function.

Blottisham: But surely superposition means a particle occupies several states simultaneously?

Quillibrace: Only if one insists on translating quantum theory back into classical pictures.

Blottisham: Doesn't it?

Quillibrace: No.

Blottisham: Then what does it mean?

Quillibrace: It means that no single determinate assignment can be made independently of a context of actualisation.

Blottisham: That sounds suspiciously like avoiding the question.

Quillibrace: It sounds suspiciously like refusing to answer a malformed one.

Blottisham: Hmph.

Elowen: So the system isn't secretly carrying multiple completed states around?

Quillibrace: No.

Elowen: Nor is it concealing one actual state from us?

Quillibrace: Correct.

Elowen: Instead the potential for determination remains distributed across several incompatible possibilities?

Quillibrace: Very good.

Blottisham: Distributed potential.

Quillibrace: Yes.

Blottisham: Sounds like bureaucracy.

Quillibrace: Bureaucracy has at least the advantage of eventually producing paperwork.

Blottisham: Then measurement becomes the crucial moment, does it not? We look, and reality finally tells us what was there.

Quillibrace: Again you are attempting to reinsert classical furniture through a side entrance.

Blottisham: I am?

Quillibrace: You have quietly transformed measurement into extraction.

Reality possesses hidden contents; measurement simply opens the drawer.

Blottisham: Doesn't it?

Quillibrace: Not under the relational picture.

Measurement is not extraction.

It is relational resolution.

Blottisham: Which means?

Quillibrace: A determinate configuration emerges through interaction itself.

The property is not sitting there waiting.

The interaction reorganises the system into a stable actualisation.

Blottisham: So the property is produced?

Quillibrace: Exactly.

Blottisham: Produced.

Good heavens.

Elowen: Then what disappears is not reality itself.

Quillibrace: No.

Elowen: Only the idea that properties exist independently of the relational structure through which they become determinate.

Quillibrace: Exactly so.

Blottisham: But then what becomes of objects?

A pause.

Quillibrace stares into the fire.

Quillibrace: Ah.

There we encounter the uncomfortable question.

You see, classical objects were expected to be rather industrious things.

They were to bear properties, persist through change, remain self-identical, and retain independence from context.

Quantum theory begins withdrawing these privileges one by one.

Blottisham: Leaving what?

Quillibrace: Not weaker objects.

Different ontology.

Elowen: Relational configurations rather than self-contained things?

Quillibrace: Precisely.

The unit ceases to be the object.

The unit becomes the configuration through which determinate actualisation occurs.

Blottisham: So classical physics says—

entity → property

—and quantum mechanics says—

relation → actualisation → property

Quillibrace: Good heavens.

Blottisham: What?

Quillibrace: You appear briefly to have understood something.

Blottisham: I understood several things last year.

Quillibrace: Yes, but we eventually traced those to a clerical error.

Silence settles over the room. Rain taps softly against the windows.

Elowen: Then perhaps the deepest change is grammatical.

Quillibrace: How so?

Elowen: Classical physics speaks of possession.

Things have properties.

Quantum mechanics begins speaking of production.

Properties arise.

Quillibrace (smiling faintly): Miss Stray, you continue the disturbing habit of arriving quietly at the centre of the matter.

Blottisham: I still dislike it.

Quillibrace: Of course you do.

Blottisham: It makes reality sound less like a warehouse and more like a negotiation.

Quillibrace: Ah.

And there, Mr Blottisham, perhaps for the first time all afternoon—

—you have said something almost profound.