Constraint, Construal, and Actualisation: A Relational Ontology — Chapter 7: Quantum Theory and the End of Intrinsic Properties

7.1 Contextuality of Properties

In classical physics, properties are thought to inhere in entities: a particle has mass, position, momentum, etc., independently of observation.

Quantum mechanics reveals that:

• Properties do not exist in isolation

• Measurement outcomes depend on the context — the experimental arrangement, choice of observable, and relations to other systems

Formally:

Value of property P of system S is not defined without measurement context C.

This is contextuality. Independence is untenable:

• The property cannot be said to exist independently

• The entity cannot carry the property “by itself”

• Any classical transmission or causation model is preemptively invalidated

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7.2 Measurement Without Collapse

Common interpretations suggest that “measurement collapses the wavefunction,” forcing a definite value. But this collapse is a misinterpretation:

• The wavefunction encodes constraints on possible outcomes, not intrinsic values

• Measurement does not reveal pre-existing properties; it actualises possibilities within a relational structure

No independent property exists pre-measurement. Independence fails empirically as well as conceptually.

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7.3 Constraint Over State

Quantum systems illustrate that:

• Constraints define possible outcomes, not states themselves

• A system’s properties are entangled with the context, not intrinsic

• Relations, not intrinsic carriers, determine behaviour

Formally:

Allowed outcomes O(S,C)⊆Hilbert space constrained by measurement relations.

Here, the “state” is a network of potentialities constrained by context, not a repository of intrinsic values.

Independence is impossible: no property exists outside relational constraint.

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7.4 Entanglement and Non-Separability

Entanglement provides a vivid demonstration:

• Two systems $\mathrm{<i>A</i>}$ and $\mathrm{<i>B</i>}$ cannot be fully described independently

• Measurement of $\mathrm{<i>A</i>}$ determines constraints on $\mathrm{<i>B</i>}$ instantaneously, regardless of spatial separation

• The classical notion of independent entities transmitting properties fails entirely

Formally:​

​No decomposition into independent carriers is possible. Independence is empirically null.

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7.5 Quantum Randomness

Randomness in quantum mechanics is often interpreted as a property of the world itself. But under relational analysis:

• “Randomness” reflects the structure of constraint, not a property transmitted by an independent entity

• What appears as stochastic outcomes arises from relational potentialities actualising under context

Thus:

• Classical determinacy presupposes independence → impossible

• Quantum behaviour naturally aligns with relational ontology

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7.6 Implications

The physics is clear:

1. Intrinsic, independent properties do not exist

2. Classical transmission, force, and causation presuppose what quantum mechanics denies

3. The relational alternative is not merely philosophical — it is coherent with empirical reality

Quantum mechanics does not require collapse, intrinsic properties, or external containers — it requires constraint and context, exactly the formal structure we are building toward.

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7.7 Tight Summary

• Quantum mechanics shows that properties are contextual, relational, and constraint-defined

• Independent entities with intrinsic properties cannot exist

• Classical transmission and causation fail empirically

• Relational ontology is directly supported by physics, not just conceptual analysis

The next chapters (8–10) will extend this collapse:

• Chapter 8: Force as a parameter, not an independent entity

• Chapter 9: Spacetime as relational, not a container

• Chapter 10: Apparent quantum paradoxes as misinterpretations