Tuesday, 17 March 2026

Reality and Cosmology: The Limits of Independence: 4 The Universe Is Not an Object

Cosmology speaks, almost without exception, of “the universe” as if it were a thing.

It is treated as:

  • a system with properties,

  • an entity with a state,

  • an object that evolves over time.

This language feels unavoidable.

It is also conceptually misleading.

The claim of this essay is simple:

The universe is not an object in the sense required by physical theory.

This is not a denial of reality.

It is a clarification of what kind of reality cosmology actually engages.

1. What an Object Is

In physics, an object is not merely “something that exists.”

It has a more specific structure:

  • it can be individuated from other objects,

  • it can be assigned properties,

  • it can, in principle, be observed or measured,

  • and it exists within a framework that distinguishes it from its surroundings.

An object, in other words, is something that appears within a system of relations.

It is defined by its place in that system.

2. The Boundary Requirement

Every object presupposes a boundary.

To treat something as an object is to distinguish it from what it is not.

This distinction is not optional.

Without it, individuation fails.

In ordinary physics, this is straightforward:

  • a particle is distinguished from other particles,

  • a system is separated from its environment,

  • a region is defined within a larger space.

But the universe includes all such distinctions.

There is no “outside” relative to which it could be bounded.

3. The Failure of Individuation

If the universe has no external boundary, then it cannot be individuated in the same way as an object within it.

It is not one thing among others.

It is the totality within which “things” are distinguished.

To call it an object is therefore to apply a concept outside its domain of validity.

It treats the totality as if it were a member of the set it contains.

4. The Illusion of Global Properties

Cosmology often attributes properties to the universe:

  • its curvature,

  • its expansion rate,

  • its energy content.

These appear to be properties of a single object.

But on closer inspection, they are not intrinsic features of a bounded entity.

They are parameters within models that organise relations among observable phenomena.

They do not describe the universe as an object.

They describe structures within cosmological description.

5. The Observer Problem Returns

The idea of the universe as an object also reintroduces a familiar difficulty.

Objects are, in principle, observable.

But as established in Part I:

the universe cannot be observed from the outside.

There is no standpoint from which it could appear as a whole.

The notion of the universe as an object therefore presupposes a perspective that does not exist.

6. The Persistence of a Metaphor

Why, then, does the language of objects persist?

Because it is inherited from the domain in which physics first developed.

Classical physics deals with:

  • bodies,

  • systems,

  • and objects interacting in space.

Cosmology extends this language to the totality.

But the extension is metaphorical.

The universe is treated as if it were an object, because our conceptual tools were built for objects.

7. What Cosmology Actually Engages

If the universe is not an object, what is cosmology about?

It is not about describing a thing.

It is about organising a network of relations:

  • correlations across spacetime,

  • constraints among observables,

  • patterns that hold across different scales.

These structures do not belong to an object.

They are what cosmological theory articulates.

8. The Category Error Completed

At this point, the full pattern becomes visible.

Cosmology inherits from classical physics a set of concepts:

  • state,

  • initial condition,

  • object.

It then applies them to the universe as a whole.

But each of these concepts depends on conditions that fail at the cosmological scale:

  • a state requires an external framework,

  • initial conditions require a given temporal structure,

  • objects require boundaries.

None of these are available.

The result is a systematic category error.

9. A Different Orientation

Once this is recognised, the language of objects can be replaced with something more precise.

Cosmology does not describe a cosmic object.

It articulates:

  • relational structures,

  • patterns of constraint,

  • and coherent models that organise observation.

The universe is not a thing with properties.

It is the totality within which such structures are defined.

Final Statement

The universe is not an object.

It is not a system with intrinsic properties,
nor a bounded entity evolving through time.

It is the horizon within which objects, systems, and properties are constituted.

To treat it as an object is to extend a local concept beyond its domain.

And at the cosmological scale, that extension no longer holds. 🌌🔥

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Reality and Cosmology: The Limits of Independence: 3 There Are No Initial Conditions

Cosmology often begins with a familiar move:

Specify the initial conditions of the universe, then derive its evolution.

From the hot dense state associated with the Big Bang to the detailed parameters of early cosmological models, the idea is clear:

The universe began in a particular state, and everything that follows unfolds from it.

This picture appears natural.

It is also deeply misleading.

The claim of this essay is precise:

The notion of “initial conditions of the universe” does not have the meaning it is usually taken to have.

1. What Initial Conditions Require

In physics, initial conditions are not standalone facts.

They are defined within a structured framework:

  • a dynamical theory,

  • a set of variables,

  • and a temporal parameter against which change is measured.

Initial conditions specify values at a boundary — typically a starting time — relative to that framework.

Crucially, they are always relative to a model.

They do not exist independently of it.

2. The Cosmological Extension

Cosmology extends this idea to the universe as a whole.

It speaks as if:

  • there was a moment “at the beginning,”

  • the universe had a definite state at that moment,

  • and that state serves as the initial condition for all subsequent evolution.

But this extension carries a hidden assumption:

that the universe can be treated as a system evolving within a pre-given temporal framework.

As earlier parts of this series have shown, this assumption is unstable.

3. The Problem of Time

In cosmology, time is not an external parameter.

It is part of the structure being described.

The geometry of spacetime itself is dynamical, as shown in theories descending from Albert Einstein.

This creates an immediate difficulty:

How can one specify an “initial” condition when the very structure of time is part of what is being modelled?

An initial condition presupposes a temporal ordering.

But in cosmology, that ordering is not given independently of the theory.

The boundary is defined within the model, not prior to it.

4. The Illusion of a Beginning

The idea of an absolute beginning is therefore more fragile than it appears.

The Big Bang is often described as a moment in time at which the universe came into existence.

But within physical theory, it functions as a limit of a model — a boundary beyond which the equations no longer apply in their current form.

It is not a directly observed event.
It is not a moment specified independently of theoretical structure.

It is a feature of a model’s domain.

5. Model-Dependence of Initial Conditions

Once this is recognised, the status of “initial conditions” changes.

Different cosmological models:

  • define different variables,

  • use different temporal parameters,

  • and specify different kinds of boundaries.

What counts as an “initial condition” varies accordingly.

There is no single, model-independent set of initial conditions that can be said to belong intrinsically to the universe.

Instead, there are model-relative boundary specifications.

6. The Disappearance of Intrinsic Origins

If initial conditions are always defined within a theoretical framework, then the idea that the universe possesses an intrinsic origin with determinate properties becomes difficult to sustain.

There is no neutral standpoint from which such an origin could be specified.

No external clock by which its “initial moment” could be fixed.
No independent set of variables that could describe it absolutely.

The notion of an intrinsic beginning dissolves into a set of relational descriptions within models.

7. What Cosmology Actually Provides

Cosmology does not, in practice, uncover the intrinsic starting point of the universe.

What it provides are:

  • models that successfully organise large-scale observational data,

  • constraints on how early-universe conditions must be structured to account for current observations,

  • and frameworks that relate different stages of cosmic evolution.

These are powerful achievements.

But they do not amount to a specification of intrinsic initial conditions.

8. The Residue of Independence

The idea of initial conditions as intrinsic features of the universe is a residue of independence ontology.

It reflects the assumption that reality must have a determinate state at every moment, including the first.

But this assumption relies on:

  • a fixed temporal framework,

  • a well-defined global state,

  • and an external standpoint from which both can be specified.

Cosmology provides none of these.

9. A Different Picture

Once the independence assumption is set aside, a different understanding emerges.

The “beginning” of the universe is not an intrinsic event with fixed properties.

It is a boundary within a network of theoretical descriptions — a point at which our current models reach their limit and require extension or revision.

What exists are not absolute initial conditions, but structured relations connecting different regions of cosmological description.

Final Statement

There are no initial conditions of the universe.

There are only boundary conditions defined within models —
framework-dependent specifications that organise our understanding of cosmic structure.

The idea of an intrinsic beginning belongs to a metaphysical picture inherited from classical physics.

At the cosmological scale, that picture no longer holds. 🌌🔥

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Reality and Cosmology: The Limits of Independence: 2 The Universe Has No State

Cosmology routinely speaks of “the state of the universe.”

It assigns values to global quantities, specifies initial conditions, and describes large-scale evolution as if the universe were a single, well-defined physical system.

This language is familiar.

It is also misleading.

The claim of this essay is direct:

The universe does not have a state in the sense required by classical or even standard physical usage.

This is not a limitation of measurement.

It is a limitation of the concept itself.

1. What a State Requires

In physics, the notion of a state is not primitive. It is defined within a specific structure.

To specify the state of a system, one requires:

  • a set of observables,

  • a framework in which those observables are defined,

  • and a context in which their values can, in principle, be determined.

In classical mechanics, this structure is straightforward. A state assigns definite values to quantities such as position and momentum.

In quantum mechanics, the situation is more subtle, but the principle remains: a state encodes the probabilities of outcomes relative to specified measurement contexts.

In both cases, the concept of a state is inseparable from a framework of observation and definition.

2. The Missing Context

When cosmology attempts to speak of “the state of the universe,” it extends this concept beyond its domain of validity.

The universe includes all physical systems.

There is no external measurement context.

No independent set of observables defined from outside.
No standpoint from which a complete specification could be made.

Without such a context, the idea of a fully defined state loses its grounding.

A state is not something that exists in isolation.
It is something defined within a structure of relations.

3. The Quantum Case

The difficulty becomes sharper in quantum cosmology.

Quantum theory, as formulated by Erwin Schrödinger and Werner Heisenberg, describes systems in terms of states that evolve according to the Schrödinger equation.

But these states are defined relative to measurement frameworks that specify which observables are meaningful.

If one attempts to assign a quantum state to the entire universe, a problem arises:

Relative to what measurement context is this state defined?

There is no external observer.
No independent apparatus.
No context outside the system.

The concept of a universal quantum state therefore lacks the conditions that give it physical meaning.

4. The Illusion of Global Description

Cosmological models often give the impression that the universe can be described “all at once.”

Equations are written that assign values to global variables. The universe is treated as if it were a single object evolving through time.

But this is a projection of a local modelling strategy onto a totality that cannot sustain it.

In ordinary physics, global descriptions are grounded in local measurements that can, in principle, be coordinated.

In cosmology, there is no such coordinating framework outside the system itself.

The idea of a complete global description is therefore an extrapolation, not a given.

5. Relational Determination Instead

What cosmology actually provides are relations among observable phenomena:

  • correlations between redshift and distance,

  • patterns in the cosmic microwave background,

  • distributions of matter and radiation.

These are not intrinsic features of a globally specified object.

They are structured relations within the universe as observed from particular locations, using particular theoretical frameworks.

The content of cosmology is therefore relational, not intrinsic.

6. The Problem of Total Specification

The idea that the universe has a state presupposes that it can, in principle, be completely specified.

But complete specification requires:

  • a complete set of observables,

  • a complete framework of measurement,

  • and a standpoint from which the specification is meaningful.

None of these conditions can be satisfied for the universe as a whole.

There is no “outside” from which completeness can be defined.

The concept of a total state therefore becomes ill-posed.

7. A Category Error

At this point, the difficulty can be stated precisely.

To assign a state to the universe is to treat it as if it were a system within a larger framework.

But the universe is not a system within anything else.

It is the totality within which systems are defined.

The attempt to apply the concept of state at this level is therefore a category error.

It extends a concept beyond the conditions that make it meaningful.

8. What Cosmology Actually Does

Once this is recognised, the practice of cosmology can be reinterpreted more clearly.

Cosmological theories do not describe the intrinsic state of the universe.

They provide:

  • models that organise observable relations,

  • frameworks that coordinate data across vast scales,

  • and constraints on how phenomena cohere.

The success of these theories lies in their ability to track structure, not in their ability to specify an intrinsic global state.

9. The Consequence

The idea that the universe has a state is a residue of the independence ontology inherited from classical physics.

It reflects the assumption that reality must be describable as a self-contained object with intrinsic properties.

Cosmology shows that this assumption cannot be sustained at the largest scale.

The universe cannot be assigned a state in the same sense as a system within it.

Final Statement

The universe has no state.

What exists are structured relations within the universe — patterns of correlation, constraint, and coherence that cosmological theories describe with increasing precision.

The attempt to treat the universe as a single, independently specifiable system is not required by physics.

It is a metaphysical projection.

And at the cosmological scale, it no longer holds. 🌌

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Reality and Cosmology: The Limits of Independence: 1 The Universe Cannot Be Observed

Modern cosmology is often presented as the most ambitious extension of physical theory: a science not merely of systems within the universe, but of the universe as a whole.

It asks:

  • What is the state of the universe?

  • What were its initial conditions?

  • How did it evolve?

Implicit in these questions is a powerful assumption:

The universe can be treated as a physical system like any other.

This assumption appears natural.

It is also deeply problematic.

1. The Hidden Model

In ordinary physics, the structure of inquiry is clear.

A system is:

  • prepared in some way,

  • allowed to evolve,

  • and then measured.

The theory connects these elements, yielding predictions about observable outcomes.

This structure presupposes a distinction between:

  • the system under investigation, and

  • the conditions under which it is observed.

But cosmology attempts to apply this same framework to the universe itself.

And here the structure breaks.

2. There Is No External Standpoint

To observe a system, one must stand in some relation to it.

There must be:

  • an experimental arrangement,

  • a measurement context,

  • a distinction between observer and observed.

But the universe, by definition, includes all physical systems.

There is nothing outside it.

No external measurement apparatus.
No independent observational standpoint.
No context that is not already part of what is being described.

This leads to a simple but devastating conclusion:

The universe cannot be observed in the way physical systems are ordinarily observed.

3. The Meaning of “State of the Universe”

Despite this, cosmology frequently speaks of “the state of the universe.”

But what does this mean?

In standard physics, a state is defined relative to:

  • a set of observables,

  • a measurement framework,

  • and a specification of possible outcomes.

If there is no external measurement context, then the notion of a fully specified, observer-independent state becomes unclear.

A “state of the universe” cannot be defined in the same way as the state of a laboratory system.

The concept is being extended beyond the conditions that give it meaning.

4. The Problem of Initial Conditions

The same issue arises in discussions of initial conditions.

Cosmology often posits that the universe began in a particular state — for example, a hot, dense configuration associated with the Big Bang.

But the notion of an “initial state” presupposes:

  • a temporal framework,

  • a set of variables,

  • and a way of specifying values.

All of these are defined within a theoretical and observational context.

If the universe is treated as a whole, the question arises:

Relative to what are these initial conditions specified?

Without a context of measurement or comparison, the idea of intrinsic initial conditions becomes conceptually unstable.

5. The Cosmological Extension of Independence

Cosmology inherits the independence assumption from earlier physics.

It treats the universe as:

  • a self-contained system,

  • possessing a definite state,

  • evolving according to physical laws.

This is independence ontology in its most expansive form.

But the very conditions that make the concept of a system meaningful in physics — preparation, measurement, and observational context — are absent at the cosmological level.

The assumption of independence is therefore no longer supported by the structure of the theory.

6. Observers Within the Universe

All observations of the universe are made from within it.

Astronomical data are gathered by instruments that are themselves part of the physical world.

The observational situation is therefore fundamentally different from that of laboratory physics.

We do not observe the universe from the outside.

We observe phenomena within it, from specific locations, under specific conditions, using particular theoretical frameworks.

Cosmological knowledge is therefore necessarily situated.

7. The Illusion of the “View from Nowhere”

Despite this, cosmological discourse often adopts what might be called a “view from nowhere.”

The universe is described as if its properties could be specified independently of any observational standpoint.

This perspective is a direct inheritance from the independence ontology of classical physics.

But once the absence of an external standpoint is recognised, the illusion becomes apparent.

There is no position from which the universe can be described in complete independence from all conditions of observation.

8. Rethinking Cosmology

If the universe cannot be observed as a system in the usual sense, then cosmology must be reinterpreted.

Rather than describing the intrinsic state of a self-contained object, cosmological theories can be understood as:

  • models that relate observable phenomena within the universe,

  • frameworks that organise large-scale patterns of data,

  • and structures that constrain how observations cohere.

The emphasis shifts from intrinsic description to relational organisation.

9. The Consequence

The attempt to treat the universe as an independently specifiable system extends the independence assumption beyond its domain of validity.

What worked as an approximation in classical physics becomes conceptually unstable at the cosmological scale.

The universe is not a system that can be observed from the outside.

It is the totality within which all observation takes place.

Final Statement

The universe cannot be observed.

And if it cannot be observed, it cannot be assigned a fully specified, context-independent state in the way classical ontology предполагает.

Cosmology therefore forces a recognition that was already emerging in quantum theory:

The idea of reality as something fully defined independently of all perspectives is not a neutral assumption.

It is a metaphysical inheritance.

And at the scale of the universe itself, it begins to break down. 🌌🔥

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5 There Are No Independent Systems

The classical picture of the physical world begins with a simple idea:

Reality is composed of systems.

Each system exists in its own right, possesses its own state, and can in principle be described independently of everything else. Interactions occur between systems, but the systems themselves are taken to be prior to those interactions.

This assumption is so deeply embedded in physical thinking that it rarely appears as an explicit thesis.

Yet modern physics quietly undermines it.

The claim of this essay is direct:

The notion of an independently existing physical system is not supported by the structure of contemporary physics.

1. The Classical Assumption of Separability

In classical mechanics, as developed by Isaac Newton, the world is composed of distinct objects.

Each object:

  • occupies its own position in space,

  • possesses its own properties,

  • and can be described independently of other objects.

Even when systems interact, they remain conceptually separable. The state of a composite system is simply the collection of the states of its parts.

This assumption is known as separability.

It underwrites the idea that the world can be decomposed into independently existing units.

2. Composition in Classical Physics

Because systems are separable, larger systems can be built from smaller ones.

A composite system is fully described by specifying the states of its components.

There is nothing over and above the parts and their interactions.

This compositional picture makes independence seem natural:

  • first define the parts,

  • then describe how they interact.

The ontology begins with independently defined systems.

3. Quantum Theory and Non-Separability

Quantum mechanics disrupts this picture at a fundamental level.

When two systems interact, their joint state is not generally reducible to independent states of each component. Instead, the systems may become entangled.

This phenomenon was first highlighted by Albert Einstein, Boris Podolsky, and Nathan Rosen in their famous argument about the completeness of quantum mechanics.

In an entangled state:

  • the composite system is well defined,

  • but the individual subsystems are not independently specifiable.

The state of each part cannot be given without reference to the whole.

4. The Failure of Independent States

This has a striking consequence.

In general, it is not possible to assign a definite quantum state to a subsystem independently of its relations to other systems.

What can be specified is:

  • the state of the composite system,

  • and the statistical structure of outcomes relative to particular measurement contexts.

But the idea that each subsystem possesses its own complete, intrinsic state breaks down.

The independence of systems is no longer guaranteed.

5. Experimental Confirmation

The non-separability of quantum systems is not merely a theoretical curiosity.

It is supported by experimental results related to quantum correlations, including those associated with the Bell's theorem.

These results show that no model based on independently existing systems with pre-defined local properties can reproduce the predictions of quantum mechanics.

The correlations observed in entangled systems cannot be explained by assuming that each part carries its own independent set of properties.

The behaviour of the parts depends on the structure of the whole.

6. Rethinking What a System Is

If subsystems cannot, in general, be assigned independent states, the concept of a “system” itself must be reconsidered.

In classical physics, a system is something that exists in its own right and can be described independently.

In quantum physics, a system is better understood as something defined within a larger relational structure.

Its properties—and even its state—are not intrinsic, but arise within specific contexts of interaction and measurement.

The boundaries of a system are therefore not absolute.

They are defined relative to the theoretical and experimental framework in which the system is described.

7. The Illusion of Independence

Why, then, does the idea of independent systems persist?

Because in many practical situations, interactions are weak or can be effectively ignored. Under these conditions, systems behave approximately as if they were independent.

Classical separability emerges as a useful approximation.

But an approximation is not an ontology.

The success of treating systems as independent in limited contexts does not justify the claim that they are fundamentally independent.

8. A Relational Picture

Once independence is relinquished, a different picture comes into view.

Instead of a world composed of self-contained systems, we encounter:

  • structured wholes,

  • within which subsystems are defined relationally,

  • and whose properties emerge through interaction.

The basic units of description are no longer independent objects, but relations within a structured network.

Systems do not stand outside these relations.

They are constituted within them.

9. The Consequence

The idea that reality is built from independently existing systems is a legacy of classical physics.

Modern physics does not support it.

Quantum theory shows that:

  • systems cannot always be assigned independent states,

  • their properties depend on relational context,

  • and the structure of the whole cannot be reduced to its parts.

The world is not assembled from independent building blocks.

It is articulated through structured relations.

Final Statement

There are no independent systems.

There are only systems defined within relations —
and relations that make systems what they are.

Once this is recognised, the independence assumption that shaped classical ontology loses its foundation.

And with it, a central pillar of the traditional picture of reality quietly falls away.

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4 Physics Never Needed Intrinsic Properties

For centuries, it seemed obvious that the world consists of objects possessing intrinsic properties.

Particles have positions.
Bodies have masses.
Fields have values.

Measurement, in this picture, simply reveals what is already there.

This view became so familiar that it was rarely questioned. It came to define what many philosophers meant by realism: the belief that physical systems possess properties independently of observation.

Yet when we look closely at the actual practice of physics, something surprising emerges.

Physics never needed intrinsic properties in the first place.

The Classical Assumption

The idea that physical systems possess intrinsic properties originates largely in the framework of classical mechanics developed by Isaac Newton.

Within that theory, objects are described by quantities such as position and momentum. These quantities appear to function as attributes the object simply possesses at each moment in time.

Measurement seems straightforward. Instruments reveal the value of a property that the system already has.

Because classical mechanics proved extraordinarily successful, this ontological picture became deeply embedded in scientific thinking.

It began to look like the natural structure of reality itself.

What Physics Actually Computes

But the mathematics of physics does not directly calculate intrinsic attributes.

Instead, it relates variables within structured systems.

The equations of physics describe how quantities change together, constrain one another, and produce observable phenomena under particular conditions.

In practice, physicists calculate relations among:

  • preparation procedures,

  • dynamical evolution, and

  • measurement outcomes.

The theory connects experimental arrangements with statistical patterns of results.

Intrinsic properties do not appear in the calculations themselves.

Quantum Theory Makes the Difference Visible

Quantum mechanics makes this point particularly clear.

Within the formalism developed by Erwin Schrödinger and Werner Heisenberg, physical predictions are obtained by computing probabilities of measurement outcomes associated with specific experimental configurations.

The dynamics of the system are governed by the Schrödinger equation, which determines how the mathematical representation of the system evolves.

But the theory does not assign definite intrinsic values to all observables.

Indeed, results such as the Kochen–Specker theorem demonstrate that consistent non-contextual value assignments are impossible within the structure of the theory.

Measurement outcomes cannot be interpreted as the revelation of pre-existing intrinsic attributes.

They arise within experimental contexts.

The Persistence of a Picture

Despite this, the language of intrinsic properties remains common in physics.

We speak of particles having spins, electrons having energies, systems having states.

These expressions function as convenient shorthand.

They compress complex experimental and mathematical relations into simple statements.

But shorthand can easily be mistaken for ontology.

Over time, the linguistic habit of speaking about properties begins to look like a description of how reality itself must be structured.

A Simpler View

If we set aside the inherited metaphysical picture, the structure of physics becomes easier to see.

Physical theories describe systems of relations.

They connect preparation procedures, interactions, and measurement outcomes through mathematical constraints.

The success of these theories shows that the world exhibits stable patterns of structure that our models can capture.

But nothing in this success requires that physical systems possess intrinsic properties independently of the contexts in which they are investigated.

The Real Lesson of Modern Physics

The extraordinary predictive power of modern physics does not rest on the assumption that the world is composed of intrinsically defined objects.

It rests on the discovery of stable relational structures that govern how phenomena arise.

Physics never needed intrinsic properties.

It needed structure.

And it needed theories capable of tracking that structure with precision.

Once this is recognised, the long-standing equation between realism and intrinsic property ontology begins to dissolve.

The world revealed by modern physics looks less like a collection of self-contained things and more like an organised web of relations within which definite phenomena occur.

That shift does not weaken realism.

It clarifies it.

Realism survives.

But the ontology that once seemed to support it quietly falls away.

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3 What Physicists Actually Calculate

Philosophical debates about the ontology of physics often begin with a familiar assumption: physical systems possess intrinsic properties whose values exist independently of observation.

Particles have positions.
Fields have values.
Measurements reveal what is already there.

Yet when one examines the mathematical practice of physics more closely, a curious fact emerges.

Physicists rarely calculate intrinsic properties at all.

What they actually calculate are relations between experimental arrangements and observable outcomes.

The difference is subtle but profound.

1. The Structure of Physical Prediction

Consider the basic structure of a physical prediction.

A physicist typically begins with three ingredients:

  1. A preparation procedure – how the system is produced or initialised.

  2. A theoretical model – the mathematical framework used to describe the system.

  3. A measurement arrangement – the experimental setup used to obtain results.

The theory is then used to compute the probability of particular outcomes given these conditions.

In other words, the calculation relates:

  • preparation conditions

  • measurement configurations

  • statistical distributions of results.

This structure is explicit in quantum mechanics, but it also appears throughout modern physics.

The calculations describe how experimental contexts relate to one another.

They do not directly describe intrinsic properties existing independently of those contexts.

2. Quantum Mechanics Makes the Structure Explicit

Quantum theory makes this relational structure particularly clear.

Within the formalism developed by Erwin Schrödinger and Werner Heisenberg, the state of a system is represented mathematically in a space of possibilities. Observables correspond to operators that connect this state to potential measurement outcomes.

The theory then provides rules for computing probabilities of those outcomes.

The evolution of the state is governed by the Schrödinger equation, which describes how the mathematical representation changes over time.

But notice what the theory actually produces.

It does not calculate intrinsic attributes possessed by the system in isolation.

It calculates probabilities of outcomes associated with particular measurement arrangements.

3. Contextuality in the Formalism

The relational character of quantum theory is reinforced by results such as the Kochen–Specker theorem, which shows that it is impossible to assign consistent non-contextual values to all observables of a quantum system.

This result implies that measurement outcomes cannot be interpreted as revealing pre-existing intrinsic values that belong to the system independently of the measurement context.

Instead, the value obtained depends on the experimental configuration within which the measurement is performed.

In practice, physicists already account for this structure. Calculations always specify the measurement basis or experimental arrangement in which outcomes are defined.

The mathematics therefore encodes contextual relations rather than intrinsic attributes.

4. The Language of Properties

Despite this relational mathematical structure, physicists often describe their results using the language of properties.

One hears statements such as:

  • “the electron has spin up,”

  • “the particle has this energy,”

  • “the system has this state.”

These expressions are convenient shorthand.

They compress the relational structure of preparation, measurement, and outcome into a simpler linguistic form.

But this shorthand can easily be mistaken for an ontological claim.

The statement that a system “has” a property suggests that the property exists independently of the experimental context that defines it.

The mathematics itself makes no such claim.

5. Relational Structure Across Physics

The relational character of physical calculation is not limited to quantum theory.

Across physics, theories typically describe relationships among variables rather than intrinsic properties of isolated entities.

Examples include:

  • equations relating forces, masses, and accelerations in classical mechanics,

  • field equations relating distributions of matter and spacetime curvature in relativity,

  • statistical relations between microscopic states and macroscopic observables in thermodynamics.

In each case, the theory specifies how quantities covary within a structured system.

What the equations describe are patterns of relation.

6. The Source of the Ontological Illusion

The persistence of intrinsic-property language therefore reflects a conceptual habit rather than a mathematical necessity.

The habit originates in classical mechanics, where it seemed natural to treat quantities such as position and momentum as attributes that objects simply possess.

When later theories inherited this language, the relational structure of the mathematics was often obscured by familiar metaphors.

The illusion arises because the linguistic surface of physics remains classical even as its mathematical foundations become increasingly relational.

7. Reconsidering the Ontology of Physics

Recognising what physicists actually calculate opens a new perspective on the ontology of physics.

If the core practice of the discipline involves computing relations among experimental conditions and observable outcomes, then the metaphysical assumption that reality consists of intrinsically defined property-bearing objects becomes less compelling.

What physics consistently reveals is not a catalogue of intrinsic attributes but a network of structured relations.

The mathematical framework tracks how systems interact, transform, and produce observable phenomena within specific contexts.

8. The Quiet Lesson of Physical Practice

The remarkable success of modern physics therefore carries a quiet lesson.

The discipline works extraordinarily well when it treats the world as a system of structured relations connecting preparation procedures, interactions, and measurement outcomes.

The idea that physical systems must possess intrinsic properties independently of these relations plays little role in the calculations themselves.

It is largely an interpretive overlay inherited from earlier metaphysical traditions.

Once this is recognised, the ontology of physics begins to look different.

Reality appears less like a collection of independently defined objects and more like an organised structure of relations within which definite phenomena arise.

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2 Why Physicists Rarely Notice the Independence Assumption

If the ontology of intrinsic, observer-independent properties sits uneasily with quantum theory, a natural question arises:

Why do so many physicists continue to speak as if physical systems simply possess properties independent of measurement?

The answer is not that physicists have misunderstood their own theory. On the contrary, the mathematical formalism of quantum mechanics is used with extraordinary precision.

The persistence of the independence assumption arises from something more subtle: a combination of historical inheritance, linguistic habit, and methodological pragmatism.

The ontology survives largely because it is rarely examined.

1. The Inheritance of Classical Intuition

Every physicist is trained first in classical mechanics.

Students learn the framework developed by Isaac Newton, in which physical systems are described by well-defined properties such as position, velocity, and energy. These quantities are treated as attributes the system possesses at any given moment.

Within this conceptual environment, measurement appears straightforward. Instruments simply determine the value of a property that already exists.

This training is immensely successful. Classical mechanics remains indispensable for engineering, astronomy, and countless practical applications.

As a result, the intuition that systems possess intrinsic properties becomes deeply ingrained before quantum mechanics is introduced.

When students later encounter quantum theory, the mathematical formalism is new—but the ontological intuition often remains classical.

2. The Pragmatic Culture of Physics

Physics is primarily an experimental and mathematical discipline.

Its success depends on the ability to predict experimental outcomes, design instruments, and construct models that match observation. Questions about the ultimate nature of reality are often treated as secondary to these practical aims.

This pragmatic orientation encourages what is sometimes called an “instrumentalist” attitude: the theory works, so one uses it.

Within this culture, the metaphysical assumptions underlying everyday language about physical systems rarely become the focus of explicit scrutiny.

The independence ontology therefore persists largely because physicists do not need to question it in order to do successful physics.

3. The Linguistic Residue of Classical Physics

Language also plays a powerful role.

Even when physicists are fully aware of the conceptual subtleties of quantum theory, they often describe experiments using classical expressions such as:

  • “the electron has spin up,”

  • “the particle is in this state,”

  • “the measurement reveals the value.”

These expressions are convenient shorthand. They allow complex experimental procedures to be discussed quickly and efficiently.

But they also quietly reintroduce the classical picture of systems carrying intrinsic properties.

Over time, the linguistic shorthand begins to sound like an ontological statement.

The classical picture survives through everyday speech.

4. The Mathematical Formalism Is Silent About Ontology

Another reason the independence assumption often goes unnoticed is that the mathematics of quantum mechanics itself does not explicitly specify an ontology.

The formalism introduced by Erwin Schrödinger and Werner Heisenberg provides rules for calculating probabilities of measurement outcomes. It describes how quantum states evolve and how observables are represented mathematically.

But the equations do not say what the world is.

They describe relations between preparation procedures, measurement setups, and statistical outcomes.

Because the formalism is compatible with multiple interpretations, physicists can use it successfully without committing to a single metaphysical picture.

In practice, many default to the familiar classical intuition of intrinsic properties simply because it is historically available.

5. The Conceptual Difficulty of Contextuality

Quantum theory contains rigorous results demonstrating that measurement outcomes cannot be interpreted as revealing context-independent intrinsic values.

The most famous example is the Kochen–Specker theorem, which shows that consistent non-contextual value assignments are impossible within the structure of the theory.

Yet the implications of such results are conceptually demanding. They require rethinking what it means for a physical property to exist at all.

Because these ideas are abstract and philosophically challenging, they often remain peripheral to everyday physical practice.

The independence ontology therefore persists partly because the alternative requires a conceptual shift that is rarely explored in standard training.

6. The Stability of Successful Paradigms

Finally, scientific communities naturally stabilise around successful conceptual frameworks.

The classical ontology of intrinsic properties functioned extraordinarily well for centuries. It guided the development of mechanics, thermodynamics, and electromagnetism.

When quantum theory emerged, the mathematical structure changed dramatically, but the underlying metaphysical intuition was not immediately discarded.

Conceptual frameworks tend to persist long after the theories that originally supported them have evolved.

The independence assumption is therefore not actively defended so much as passively inherited.

7. The Ontological Blind Spot

Taken together, these factors create what might be called an ontological blind spot.

Physicists are trained within classical intuition.
They work pragmatically with mathematical tools.
They use language shaped by earlier theories.
And the formalism itself leaves ontology open.

Under these conditions, the independence assumption can remain largely invisible.

It functions as a background picture rather than an explicit doctrine.

8. When the Assumption Becomes Visible

The assumption becomes visible only when interpretive questions are pressed.

Quantum contextuality, entanglement, and the structure of measurement reveal that the classical ontology of intrinsic properties does not easily fit the theory.

At that point, physicists face a choice:

  • preserve the classical ontology through elaborate reinterpretations, or

  • reconsider the metaphysical framework itself.

Much of the history of quantum interpretation can be understood as an attempt to navigate this choice.

9. A Moment for Reflection

Recognising the independence assumption does not invalidate the achievements of physics. On the contrary, it clarifies the conceptual foundations of the discipline.

The extraordinary success of quantum theory shows that physics can operate with remarkable precision even when its underlying ontology remains unsettled.

But the very success of the theory invites philosophical reflection.

Once the independence assumption becomes visible, it becomes possible to ask whether the structure of modern physics points toward a different understanding of reality—one grounded not in intrinsic properties but in relational structure.

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