1 What Is a Field? A Relational Regrounding
Physics often speaks in fields: gravitational fields, electric fields, magnetic fields, and more recently, quantum fields. These fields are the scaffolding of our modern understanding of forces, interactions, and the structure of matter. Yet despite their centrality, we rarely pause to ask a basic question:
What is a field, really?
In textbooks, a field is typically defined as a quantity assigned to every point in space and time — a kind of mathematical fabric spread across the cosmos, varying in strength and direction. Sometimes we are told that a field is “real,” like a substance. Other times, we are told it is just a convenient abstraction. But neither answer satisfies the deeper question.
❖ Fields as Relational, Not Substantial
This series takes a different approach — one grounded in relational ontology, informed by Systemic Functional Linguistics and our work in semiotic systems.
We propose that:
A field is not a thing. It is a structure of relational potential.
Rather than imagining fields as invisible substances that “fill” space, or as abstract functions that describe the world, we can instead construe a field as a system of potential participation — a map of what kinds of interactions are possible, given a particular relational configuration.
This is a radical shift. It means:
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A field is not something that exists in space —it is what makes space meaningful as a system of potential relations.
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A field is not a background object —it is a structured possibility space that shapes what phenomena can unfold.
❖ The Field as Meaning Potential
If this sounds familiar, it’s because it mirrors how we construe meaning in language.
In Systemic Functional Linguistics, the meaning potential of a language is not a list of all things that could be said. It is a structured system — a field of choices — that constrains and enables the meanings we can express. When we speak, we instantiate features from this system. The result is a meaning instance: an utterance.
Likewise, in physics, a field is a potential space of participation — and when something participates in a way that the field permits, an event is instantiated.
This analogy runs deep. Fields, like semiotic systems, are not passive containers. They are structured relational topologies that await actualisation.
❖ Fields Are Semantic, Not Substantial
Let’s take gravity as an example.
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In conventional terms, a gravitational field tells us the force a mass would experience at each point in space.
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In relational terms, the gravitational field expresses the potential for mass to participate in spatial configurations.
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The field doesn’t “pull” on the object like a rope —it structures the possibilities for spatial relation in its presence.
In other words, mass doesn’t move because of the field — mass moves through a relational geometry that the field constrains. The field isn't an actor. It's the semantic landscape that determines what actions are meaningful.
❖ From Reification to Participation
Why does this reframing matter?
Because it shifts physics away from reifying invisible substances and toward understanding the logic of participation in structured relational spaces. Just as we do not need to believe in a “substance of grammar” to speak meaningfully, we do not need to imagine a field as a thing to participate in its constraints.
A field is a meaning potential for interaction.It is a relational scaffolding that enables and constrains what can be actualised.
We are not “in” fields. We relate through them.
✦ Key Claim
Fields are the relational scaffolding within which phenomena become actual.They do not fill space — they give space its structure of potential.
Up Next:
2 Fields as Meaning Potentials in Physics
In the previous post, we proposed that fields are not invisible substances or detached functions, but relational scaffolds of participation. We likened them to meaning potentials in language: structured systems that constrain what can be said, done, or become.
In this post, we go deeper into that analogy.
❖ From Semiotic Systems to Physical Fields
In Systemic Functional Linguistics (SFL), a language is not just a collection of words — it is a structured system of options. This system exists as potential: it is not a set of actual utterances, but a set of meaningful possibilities.
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When a speaker says something, they instantiate a selection from the system.
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Meaning is not pulled from a container — it is actualised through participation in a semiotic structure.
This logic is not limited to language. It can be extended to the physical world:
A field in physics is a system of potential interactions.
When something happens — a movement, a force, an event — this is an instantiation of relational potential within the field.
This means we can describe a field using the same ontology we use for meaning:
Semiotic Domain | Physical Domain |
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Meaning potential | Field structure |
Meaning instance | Physical event |
Instantiation (speech) | Participation (interaction) |
Just as linguistic meaning is not stored in the air or sound waves, physical meaning is not stored in fields as if they were containers. The field structures what can happen — and interaction brings it into being.
❖ The Cline of Instantiation
SFL introduces the concept of a cline of instantiation to describe the relation between potential and instance:
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At one pole: system — a structured meaning potential
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At the other: instance — a particular text or utterance
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instantial potential — what becomes possible as instances unfold
We can borrow this framework to describe physical fields:
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System pole: the field as a total space of relational potential (e.g. electromagnetic field)
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Instance pole: the interaction that occurs (e.g. a photon emitted or absorbed)
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Instantial potential: the modified local structure as potential becomes actualised
In this framing:
A field is the system pole of the cline of instantiation in physics.
It constrains what kinds of participation are possible, without determining what will actually happen. Each instance then contributes back to the system, shifting the probabilities of future events.
❖ Participation, Not Presence
This reframing has a profound consequence: it lets us decouple participation from presence.
In classical physics, you are “in” a field — a region of space. But in relational terms:
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You are not in the field
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You are in relation to it
This distinction matters. A charged particle doesn’t participate in an electromagnetic field because it is inside it. It participates because it relates to the structured potential defined by charge and configuration.
Likewise, a speaker does not utter a sentence by entering a “grammar cloud.” They participate in the system through a specific pathway of choices — a trajectory through meaning potential.
So it is with particles in fields.
A field is not something you are in. It is something you relate through.
❖ Fields as Construals of Possibility
All of this invites us to think differently about what physics is doing.
Physics is not discovering pre-existing objects and forces. It is:
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Constraining what can be construed
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Mapping how participation unfolds
The laws of physics don’t describe things. They describe the relational logic of participation — the field structure within which potential becomes actual.
A field is a construal of possibility, not a picture of reality.
It is the grammar of what can happen — a map of the meaningful moves available in a given configuration.
✦ Key Insight
A field is not something you’re in; it’s something you can relate through.
It is the system pole of participation — the space of potential awaiting actualisation.
Up Next:
Post 3: Force Fields, Energy Fields, and the Role of Structure
We’ll now distinguish between types of physical fields — gravitational, electromagnetic, and energetic — and explore how each constrains participation differently, offering unique topologies of meaning.
3 Force Fields, Energy Fields, and the Role of Structure
If fields are not invisible substances but systems of relational potential, then different kinds of fields must embody different kinds of structured constraint — different grammars of participation.
In this post, we explore how gravitational, electromagnetic, and energy fields function not as forces applied, but as topologies of possible relation.
❖ Gravitational Field: Spatial Participation via Mass
In classical physics, a gravitational field is a region of space where a mass experiences an attractive force. But in our relational ontology:
The gravitational field constrains how mass can participate in spacetime.
What mass does is not simply to “bend” spacetime, but to structure the potential of spatial relation. Its presence establishes a topology — a relational landscape — in which other masses become dynamically coordinated.
Mass doesn’t just “cause” motion. It structures the possibilities of motion.
We can think of this as the construal of spatial inertia:
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Mass resists acceleration because it is relationally grounded in a gravitational field
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The field defines what kinds of spatial relation (and movement) are possible
So rather than imagining spacetime as a container being bent, we imagine:
A topology of participatory resistance — a field that structures the spatial logic of relation.
❖ Electromagnetic Field: Charge as a Relational Vector
The electromagnetic field doesn’t act on everything equally. It requires charge — a kind of relational alignment.
From our perspective, charge is not a property an object has, but a way of participating:
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A positive or negative charge aligns with different dimensions of the field
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A neutral object does not participate electromagnetically because it lacks the alignment required
Thus:
Charge is not a thing; it’s a vector of compatibility with a field’s structure.
The electromagnetic field, then, is a system of potential interactions between relationally aligned participants — not a medium flowing through space, but a network of mutual susceptibility.
This field constrains both spatial and temporal participation:
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Spatially: charged objects exert forces at a distance
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Temporally: fields propagate change at finite speed, encoding the logic of interaction over time
❖ Energy Fields: Domains of Potential Unfolding
Energy is often treated as a quantity, but in this framework it is more fruitful to see it as a capacity for structured transformation:
Energy fields are structured spaces of unfolding potential.
This is most evident in quantum fields, where energy levels define which kinds of transitions or resonances are possible. But it is true more broadly:
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A stretched spring has potential energy: a structured field constrains how it may unfold
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A system in motion has kinetic energy: a trajectory constrained by relational mass and force
So energy fields can be thought of as:
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Temporal potentials — mappings of what can unfold when systems interact
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Constraint spaces — guiding how participation flows from one configuration to the next
In this sense, energy is not something inside a system, but something offered by a system’s field of constraints.
❖ Fields as Semantic Topologies
Across all these examples, we see a common pattern:
Fields structure experience by constraining relation.
They are not passive backgrounds. They are semantic topologies — relational maps of meaningful possibility.
Just as language constrains what can be meant, a field constrains what can be done. And just as linguistic systems vary in how they pattern meaning, physical fields vary in how they pattern interaction.
The field, then, is not:
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A container
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A substance
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A set of forces
It is:
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A relational space of structured potential
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A topology of possible participation
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A construal of meaningful constraint
✦ Key Insight
Fields are not backgrounds, but relational maps of meaningful constraint.
They pattern the possibilities of interaction, just as a grammar patterns the possibilities of meaning.
Up Next:
Post 4: Participation in Fields — Charge, Mass, and the Rest
Now that we’ve clarified the structure of fields, we turn to the question of how entities participate in them — not by having properties, but by instantiating specific relational alignments.
4: Participation in Fields — Charge, Mass, and the Rest
We’ve reframed fields as relational scaffolds — topologies of potential interaction, not invisible substances. But what does it mean to participate in a field?
This post explores how things like mass, charge, and other so-called “intrinsic properties” are better understood as modes of participation — specific ways of instantiating a field’s potential.
❖ Relational Participation, Not Property Possession
In conventional physics, mass and charge are attributes: a particle has mass or has charge.
In our reframing, these are not intrinsic properties but relational alignments:
Mass and charge describe how a system can participate in a given field.
Participation means the system is able to instantiate — to make actual — the relational structure that the field constrains.
A mass is not a thing with gravitational heft; it is:
A system whose presence instantiates gravitational relation.
A charge is not a thing with positive or negative character; it is:
A relational vector that aligns with the electromagnetic field’s topology.
❖ Mass as Spatial Inertia in a Gravitational Field
Let’s consider mass more closely.
In Newtonian physics, mass measures resistance to acceleration. In Einstein’s relativity, mass structures spacetime. In our view, mass is:
A semiotic act of spatial resistance — a pattern of participation in the gravitational field.
The gravitational field constrains spatial unfolding. Mass is that which actualises this constraint — it brings it into being.
So mass is not a substance but a participatory event:
A system instantiates mass when it relates gravitationally.
And because that relation is resistive (it limits change in motion), we experience mass as inertia.
❖ Charge as Alignment with Electromagnetic Structure
Likewise, charge is not an object’s feature, but a system’s vector of relation within the electromagnetic field.
A positively charged particle instantiates one direction of potential interaction; a negatively charged particle instantiates its complement. A neutral particle does not align — it does not enter into this dimension of relation.
Charge is a mode of attunement. It determines which electromagnetic meanings can be actualised.
This explains why charged particles can attract or repel — the interaction is not causal but relational: the field enables mutual constraint, and charge patterns how the constraints co-emerge.
❖ Spin, Colour, Flavour: Other Modes of Participation
Other so-called “quantum numbers” — spin, colour charge, flavour — are likewise not internal properties. They are:
Relational roles in different fields.
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Spin relates to how a system aligns with rotational symmetry — a relational potential in quantum fields.
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Colour charge defines how particles like quarks can participate in the strong field — a topological rule for participation.
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Flavour constrains how particles transform via weak interactions — a pathway through field-constrained change.
Each of these is a grammar of participation: a structured way of instantiating potential within a specific field.
❖ Sources, Sinks, and Resonant Co-participation
When we speak of a charge or mass as a “source” of a field, this too requires reframing.
Rather than imagining a source as something that emits a field, we construe it as:
A point at which relational potential becomes actual.
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A “source” is an instantiation of constraint.
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A “sink” is a node of relational absorption or transformation.
In both cases, participation is not one-way. It is resonant:
Every participant restructures the field, and every field re-constrains its participants.
This mutual shaping is the dance of physical meaning.
✦ Key Insight
Participation is not about location in a field, but about instantiating a compatible relation.
Mass, charge, and other quantities are not what a system is — they are how it relates.
Up Next:
Post 5: Fields, Quanta, and the Grammar of Interaction
We’ve now seen what it means to participate in a field. But in quantum physics, participation is quantised. Next, we explore how quantum fields serve as grammars for discrete interaction — and how particles emerge not as things, but as events of commitment.
5 Fields, Quanta, and the Grammar of Interaction
So far, we've reconceived fields as structured relational potentials, and mass, charge, and other so-called "properties" as modes of participation within those potentials.
But physics in the 20th century revealed something stranger still:
Participation is not continuous — it is quantised.
In this post, we explore quantum field theory not as a model of tiny particles flickering in and out of invisible fields, but as a semiotic system — a grammar of interaction, where quanta are not objects, but committed instantiations of field potential.
❖ The Quantum Turn: Discretising Participation
Quantum field theory (QFT) tells us that:
Fields are not smooth continua of action — they are structured with discrete modes of commitment.
These discrete modes are the quanta.
But let’s be precise:
A quantum is not a thing in a field.
It is a relational event — an instantiation of potential.
Think of a language system. The lexicogrammar constrains what can be said — not by offering a menu of words, but by structuring the rules of combination. A sentence is an instance of this structured potential.
Likewise in QFT, a particle is not an object in a field. It is a field event — an instance of constrained possibility.
❖ Creation and Annihilation: Events, Not Entities
In quantum field theory, particles appear and disappear via creation and annihilation operators. This sounds like magic — or worse, a bookkeeping trick.
But in our reframing:
Creation = a new instantiation of field potential.
Annihilation = the withdrawal of that instantiation.
Nothing is being created from nothing. What’s happening is that a potential relation becomes actual, and then un-actualises.
This is not the behaviour of a substance. It’s the temporality of participation.
The field holds the grammar. Quanta are utterances — relational events.
❖ Particles as Participatory Events
We often imagine particles as building blocks — hard-edged bits of reality.
But in this view, a “particle” is:
A locus of committed relation — a temporary and quantised participation in field structure.
This explains quantum weirdness:
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Superposition: A field holds multiple potentials before a commitment is made.
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Interference: Potentials overlap, not particles.
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Entanglement: Two instantiations share a relational structure — they are not two, but co-instantiated.
Particles are events of semiotic closure: the moment where what could happen becomes what did.
❖ Collapse as Participatory Commitment
The infamous “collapse of the wavefunction” is not a mysterious vanishing. It is:
The actualisation of a specific relational configuration.
In other words, collapse is instantiation.
From a semiotic perspective, this is not different from how we speak. A grammar holds many potentials, but a sentence commits. The unsaid remains potential; the said is an instance.
So it is in quantum physics. The field is a semantic structure of what’s possible. A quantum event is a participatory act that brings one configuration into being.
❖ Measurement as Meaning-Making
Measurement, then, is not a passive observation. It is an active co-participation:
The measuring system enters into relation with the field, and that relation commits to a specific outcome.
This is not a flaw in physics. It is a recognition:
There is no knowledge from outside the system. Every act of knowing is a participation.
And every quantum event is a micro-act of world-making — a moment where the relational potential of the field becomes a moment of shared constraint.
✦ Key Insight
Quanta are not objects but events of commitment within field structure.
Quantum fields do not “contain” particles; they structure the ways participation becomes actual.
Up Next:
Post 6: Fields and the Semiotics of Space
If fields are structured potentials, then space itself is not a neutral container — it's a projection of field relation. In the next post, we explore how fields construct space, how curved geometry emerges from constraint, and how participation remakes the cosmos.
6 Fields and the Semiotics of Space
We’ve reconceived fields as structured potentials for participation, and quantum events as momentary instantiations of that potential.
But what about space?
We often imagine it as a neutral backdrop — the stage on which fields and particles play out their drama.
What if space is not a backdrop at all?
In this post, we explore space not as an empty container, but as the projection of relational field structure — a semiotic effect of constraint and possibility.
❖ The Invention of Space
Classically, space is absolute — a volume in which objects move and fields extend.
But in a relational framework:
Space is not given; it is construed.
It emerges from the structured relationships encoded in fields.
Space is not a thing. It’s the semantic projection of field relations — a map of what can interact, how, and where.
The field does not sit in space.
Rather: space arises from the field.
❖ Fields Define Spatial Possibility
To participate in a field is to be locatable — not in absolute coordinates, but in relational coordinates.
For example:
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The gravitational field doesn’t curve space after the fact — it is the curvature.
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The electromagnetic field doesn’t exist in space — it structures what “near” or “far” means for charged particles.
Every field is a topology of constraint.
It defines the terms on which interaction is possible.
From this view, geometry is not an external scaffold.
It is a semantic layer of the field’s relational structure.
❖ From Flat to Curved: Constraint as Curvature
General Relativity tells us that mass and energy curve spacetime. But in relational terms:
Constraint is curvature.
Where relational participation is stretched, space appears “curved.”
Where participation is symmetric, space appears “flat.”
So:
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A “straight line” is not a fixed trajectory through a container.
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It is the least constrained path through relational potential.
Space, in this sense, is a field effect — a perceptual shorthand for how participation flows under constraint.
❖ Space as Meaningful Projection
From a semiotic lens:
Space is the projection of relational potential onto a co-ordinate frame.
It is the grammar of physical interaction made visible.
Just as grammar in language gives form to experience without being experience itself, so too does field structure organise the meaningfulness of what we call "location."
In this framing, space is not independent.
It is a semiotic projection — a way of rendering relations as extensible form.
❖ Participatory Distance
If space is relational, then distance is not simply a number. It is a participatory measure:
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Close means “easily able to relate”
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Far means “relation is more constrained”
This matches what fields actually do. The strength of a field drops off with “distance” — but what drops is not a spatial measure, but the intensity of possible participation.
Space, then, is a metaphor for relation.
✦ Key Insight
Fields do not occupy space — they construct it, relationally.
Space is a projection of the field’s structure of constraint, and distance measures the ease or difficulty of potential participation.
Up Next:
Post 7: From Field to Form: Recursion, Resonance, and Emergence
We conclude this series by tracing how complex forms — from atoms to organisms to thought — emerge from recursive participation in field structures. Fields become forms, not by adding parts, but by resonating constraints into new coherences.
7 From Field to Form — Recursion, Resonance, and Emergence
We’ve reframed fields as structured relational potentials — not backgrounds to experience, but the very means of participation.
But how does this view account for the richness of actual form?
How do fields — as systems of constraint — give rise to emergent complexity?
In this final post, we explore how recursion, resonance, and emergence transform field structure into meaningful form — not as pre-existing entities, but as events of coherence.
❖ Participation Is Recursive
Every act of participation modifies the potential for further participation.
This is not linear cause and effect — it’s recursive constraint.
For example:
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A particle’s interaction alters the field, which reshapes the conditions for the next interaction.
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A meaning instance reshapes the probabilities of future meanings in discourse.
This is the core of emergence:
Structure doesn’t merely determine events — events recursively determine structure.
❖ Resonance Across Fields
When multiple fields are present, coherence emerges where constraints align.
This alignment is resonance: a condition in which multiple fields constrain participation in complementary ways, allowing stable patterns to emerge.
Examples:
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Atomic orbitals emerge from resonances between electromagnetic and quantum fields.
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Biological form emerges from recursive coupling across chemical, mechanical, and informational fields.
Resonance is not harmony by design — it is coherence by mutual constraint.
This is how form emerges from field.
❖ Emergence as Instantiated Coherence
In a relational universe, things don’t pre-exist their relations.
They come into being through recurrent instantiation.
A particle, a cell, a thought — all are events that achieve temporary coherence within and across field systems.
To emerge is to momentarily stabilise participation.
To take form is to be recognisable as a recurring pattern of relation.
This is a middle-voiced ontology:
Forms are not actors or objects, but the stabilised enactment of a relational grammar.
❖ Fields as the Middle Voice of Physics
In language, the middle voice expresses processes that are neither purely active nor purely passive — but participatory.
Fields are the middle voice of physics:
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They do not act like agents.
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They are not acted upon like patients.
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They mediate participation — and are transformed through it.
Just as meaning arises in language through co-instantiation of options across a system, so too does physical form arise through co-participation in overlapping fields.
The field is not the background of reality.
It is the stage of becoming.
✦ Final Thought
To reconstrue fields as relational potentials — and not reified entities — is to reframe the universe as a semiotic ecology.
Not a collection of objects in space,
but a dynamic interplay of constraint and participation,
in which everything emerges in relation.