Relational Gravity: 5 Energy as Relational Availability

With force refused, mass reconceived, curvature re-typed, and motion dissolved, only one classical notion remains standing: energy.

Energy is often treated as the most abstract and therefore the safest survivor — no longer a substance, perhaps, but still a conserved quantity that explains why change occurs.

From a relational ontology, even this will not do.

Energy does not cause change. It names the conditions under which re-actualisation remains available.

---

Why energy cannot be a thing

Despite modern refinements, energy is still commonly understood as:

• something systems possess,

• something that can be stored or transferred,

• something whose conservation guarantees explanatory closure.

This grammar quietly reinstates substance under a more respectable name.

But we have already displaced the metaphysical ground that would allow this.

There are no systems independent of their actualisations. There are no processes that unfold by drawing down a reserve. There are only cuts, and the relational conditions that permit further cuts to occur.

---

Availability rather than quantity

What, then, does energy measure?

Relationally, energy indexes how available further coherent re-actualisations are for a given configuration.

High energy does not mean more stuff. It means:

• many viable next cuts remain open,

• constraint has not yet sharply narrowed the space of re-actualisation,

• persistence can continue along multiple relational pathways.

Low energy marks the opposite:

• options for further coherent re-cutting are closing,

• incompatibilities dominate,

• persistence is approaching exhaustion.

Energy is not what drives change. It is what makes change possible at all.

---

Work reinterpreted

In classical accounts, work is the transfer of energy via force acting through distance.

Relationally, work is the reconfiguration of constraint.

To do work is to:

• open new dependency relations,

• relax existing incompatibilities,

• or redistribute relational thickening so that new sequences of re-cutting become viable.

No quantity moves from one place to another. The architecture of possibility is altered.

---

Conservation without substance

One might object that energy conservation is too successful to abandon.

Relational ontology does not abandon it. It explains it.

Conservation reflects the fact that:

• relational availability cannot be conjured from nowhere,

• constraints can be reconfigured but not erased,

• openings in one region require closures elsewhere.

What is conserved is not a substance but global coherence of constraint.

Bookkeeping practices that track energy remain valid — but their metaphysical interpretation changes completely.

---

Potential energy revisited

Potential energy is often treated as stored capability awaiting release.

Relationally, it names latent compatibility under constraint.

A configuration has potential energy insofar as:

• dependency relations could be re-ordered,

• incompatibility boundaries could be crossed under altered constraints,

• re-actualisation could proceed differently if the relational architecture were reconfigured.

Nothing is waiting. Possibility is structured.

---

Kinetic energy without motion

If motion is not fundamental, neither can kinetic energy be.

Kinetic energy instead indexes:

• the stability of a sequence of constrained re-cuts,

• the robustness of a pattern of persistence under existing constraints,

• the cost, in relational reconfiguration, of disrupting that pattern.

This preserves its phenomenal role while removing its ontological burden.

---

Energy and gravity

At last, gravity can be seen clearly.

Gravitational phenomena do not occur because energy is exchanged or forces act.

They occur because relational thickening:

• reshapes availability gradients,

• redistributes constraint asymmetrically,

• and funnels re-actualisation along narrowing bands of coherence.

Energy is the ledger that records how open or closed those bands remain.

---

Closing the ontology

We can now state the framework without remainder:

• Mass is resistance to reconstrual.

• Curvature is asymmetric permissibility in relational orderings.

• Motion is constrained re-actualisation across cuts.

• Energy is relational availability for further coherence.

Nothing moves. Nothing acts. Nothing pulls.

And yet, phenomena persist.

---

One final turn

The ontology is now complete.

What remains is not another theoretical move, but a return to experience.

Why does anything fall?

Why does weight press downward?

Why do trajectories arc and bodies orbit?

The final post will take these questions seriously — without reintroducing force, motion, or spacetime.

Post 6 — Why Nothing Falls (and Yet Everything Does).

There, the framework will meet the world again.

Relational Gravity: 4 Motion as Constrained Re-Cutting

Having displaced force, re‑typed mass, and reconceived curvature, we are now in a position to dissolve motion itself.

This is not a denial of motion as phenomenon. It is a refusal to treat motion as an ontological primitive.

From a relational ontology, nothing moves.

What persists is the patterned re‑actualisation of cuts under constraint.

---

Why motion cannot be basic

In classical and relativistic frameworks alike, motion is treated as something that happens to an object:

• an entity occupies different positions over time,

• its trajectory is traced through a background structure,

• and laws determine how that trajectory unfolds.

Even when spacetime replaces absolute space, motion remains a traversal of something already laid out.

But we have already refused this picture.

There are no objects that endure independently of their actualisation. There is no space through which anything passes. There are only cuts, and the conditions under which further cuts are possible.

---

Re‑actualisation, not displacement

A cut is not a point that travels. It is a perspectival actualisation of relational possibility.

Persistence, therefore, cannot mean continued occupancy of a location. It means continued compatibility of successive cuts.

What we call motion is the maintenance of coherence across a sequence of re‑cuts.

Each cut:

• depends on prior cuts (time as dependency),

• excludes alternative co‑cuts (space as incompatibility),

• and is constrained by relational thickening (mass).

No cut moves. Each new cut simply resolves again under constraint.

---

The role of curvature revisited

In the previous post, curvature was identified with asymmetric permissibility in relational orderings.

Here its effect becomes explicit.

Where curvature is present:

• some sequences of re‑cutting remain viable,

• others collapse or become unsustainable,

• and persistence funnels along narrow bands of compatibility.

A stable trajectory is nothing more than a path of continued re‑actualisability.

This is why motion appears smooth and continuous phenomenally: discontinuous re‑cuts are resolving under highly regular constraint.

---

Acceleration without force

Acceleration is often taken as the signature of force.

Relationally, acceleration marks a change in the constraint profile governing re‑cuts.

As a configuration enters regions of increased relational thickening:

• dependency chains tighten,

• incompatibility boundaries sharpen,

• and previously viable sequences become inaccessible.

The resulting re‑cuts must resolve differently. Phenomenally, we describe this as acceleration — not because something is being pushed, but because the architecture of permissible re‑actualisation has changed.

---

Why free fall feels inertial

One of the great insights of relativistic physics is that free fall feels like inertia.

From a relational perspective, this is not mysterious.

In free fall:

• re‑cuts resolve along the dominant constraint gradients,

• no additional incompatibilities are introduced,

• and persistence proceeds with minimal resistance.

Nothing is being acted upon. The sequence is simply following the thickened architecture.

Inertia is not resistance to force. It is resistance to reconstrual.

---

Motion as a name, not a mechanism

We are now in a position to be precise.

Motion is not a mechanism operating in the world.

It is the name we give to:

the patterned succession of constrained re‑actualisations that preserve phenomenological coherence across perspectives.

Once this is understood, several familiar puzzles dissolve:

• how motion occurs without a medium,

• how trajectories persist without guidance,

• how gravity influences motion without acting.

Nothing is being guided. Nothing is being pulled.

Cuts are simply resolving again, under asymmetric constraint.

---

Preparing the final turn

With motion dissolved, only one classical notion remains untouched: energy.

If mass is resistance, curvature is asymmetric constraint, and motion is constrained re‑cutting, then energy cannot remain a conserved substance or transferable quantity.

The final post will take up this question:

Post 5 — Energy as Relational Availability.

Only then will the arc close.

For now, we can state the central claim of this post clearly:

Motion does not occur in the world. It is how constrained persistence appears when cuts re‑actualise coherently.

Relational Gravity: 3 Curvature Without Spacetime

If gravity is not a force, and mass is not an intrinsic property but resistance to reconstrual, then the familiar appeal to curvature must be handled with care.

Curvature is often treated as the sophisticated replacement for force: no longer an attraction, but a bending of spacetime itself. From a relational ontology, this move is an improvement — but not yet a solution. It retains a container, merely refined.

The task of this post is precise: to show how curvature emerges without spacetime, and without any geometric object doing explanatory work.

---

Why spacetime curvature will not do

Spacetime curvature explanations presuppose:

• a manifold that exists independently of phenomena,

• a metric structure that encodes distances and durations,

• and a rule that tells phenomena how to move within that structure.

However elegant, this grammar still relies on a background arena — something that is, bends, and then guides motion. The ontology we are working with does not allow this.

There is no spacetime in which cuts occur. There are only cuts, coordinated under constraint.

If curvature is to survive, it must be reconceived as a feature of relational orderings, not of a container.

---

Recalling the dual orderings

Earlier, we established that:

• time is the ordering of dependency between cuts,

• space is the ordering of incompatibility between cuts.

These are not dimensions but structural relations that must hold if a phenomenon is to persist across perspectives. They are the minimal orderings required for coherence.

Relational thickening, introduced in the previous post, directly affects these orderings.

---

What curvature becomes

When a high-mass configuration thickens the surrounding relational architecture, it does not bend a manifold. It produces asymmetry in the availability of ordered sequences of cuts.

Specifically:

• Certain dependency chains become easier to sustain than others.

• Certain incompatibilities become sharper, closing off alternative co-actualisations.

• The space of viable sequences becomes directionally biased.

This bias is what curvature is in a relational ontology.

Curvature is not shape. It is uneven permissibility.

---

Direction without geometry

A common objection arises here: without spacetime, how can there be direction at all?

The answer is that direction is not primitive. It is an emergent feature of ordered constraints.

Where relational thickening is present:

• sequences of cuts resolve preferentially along paths of least resistance,

• dependency orderings funnel persistence toward stable configurations,

• incompatibility orderings close more rapidly in some relational directions than others.

These patterned asymmetries give rise to what we later describe phenomenally as direction, trajectory, and path — without any geometric substrate.

---

Curvature as perspectival, not global

Another consequence follows immediately.

Curvature, so construed, is not a global property of a universe-sized structure. It is local to regions of relational thickening.

Different configurations experience different curvatures because:

• they participate in different dependency chains,

• they face different incompatibility constraints,

• and they encounter thickening from different perspectival positions.

This preserves the relational commitment: there is no view from nowhere, no universal geometry underlying all cuts.

---

Holding the line

At this point, several temptations must be resisted:

• to draw diagrams that resemble manifolds,

• to speak of bending or warping as physical actions,

• to let geometry quietly resume explanatory authority.

None of this is needed.

Everything we require follows from one claim:

High resistance to reconstrual produces asymmetric constraint on the ordering of possible cuts.

That asymmetry is curvature.

---

Preparing the next step

We now have all the pieces required to dissolve motion itself.

If curvature is asymmetric constraint, and if sequences of cuts persist preferentially along certain orderings, then what we call motion is not something that happens in a curved space. It is the name we give to constrained re-cutting over successive perspectives.

The next post will take this step carefully:

Post 4 — Motion as Constrained Re-Cutting.

For now, the central claim stands:

Curvature does not belong to spacetime. It belongs to the architecture of relational possibility.

Relational Gravity: 2 Mass as Relational Thickening

If gravity cannot be a force, then mass cannot be the thing a force acts upon.

This is not a redefinition added for convenience. It follows directly from the relational reconstrual already in place: mass is not intrinsic substance, but resistance to reconstrual — the stability of a configuration across perspectival cuts.

The task of this post is to take that definition seriously and follow it where it must lead.

---

From local resistance to relational consequence

To say that a configuration has high mass is to say that it is difficult to re-cut without loss of coherence. Its potential space is narrow; alternative actualisations are tightly constrained.

Crucially, this resistance cannot remain local.

Cuts do not occur in isolation. Every instantiation is coordinated with neighbouring possibilities — other cuts that must remain mutually compatible if persistence across perspective is to be maintained. A configuration that strongly resists reconstrual therefore reshapes the space of possible cuts around it.

Mass, once understood relationally, must have consequences beyond the configuration itself.

---

Thickening the space of possible cuts

The effect of high resistance to reconstrual is not attraction or influence. It is thickening.

By thickening we mean:

• an increase in constraint density,

• a reduction in the availability of alternative cuts,

• a tightening of dependency relations,

• and a sharpening of incompatibility boundaries.

The relational architecture surrounding a high-mass configuration becomes denser, less permissive, more structured. Certain sequences of cuts remain viable; others quietly disappear.

Nothing moves. Nothing pulls. Possibilities close unevenly.

---

Why thickening is unavoidable

Once mass is defined as resistance to reconstrual, thickening is not optional.

If high-mass configurations did not reshape neighbouring relational possibilities, then:

• persistence across perspectives would fracture,

• dependency orderings would fail to coordinate,

• and the configuration would not, in fact, be stable.

Relational persistence demands that resistance propagate architecturally, not causally.

This is why gravity does not need to be added to the ontology. It is what resistance looks like when viewed from outside the resisting configuration.

---

The appearance of attraction

From within the thickened architecture, sequences of cuts tend to align toward the high-resistance configuration. This alignment is not caused; it is permitted.

The phenomenology of attraction arises because:

• fewer viable cuts remain that diverge from the high-mass ordering,

• dependency chains preferentially resolve toward the most stable configuration,

• incompatibilities accumulate more rapidly elsewhere.

What appears as “falling toward” is the experiential trace of constrained persistence.

---

Preparing the next step

At this stage, we have:

• eliminated force as an explanation,

• reconceived mass as resistance to reconstrual,

• and shown why such resistance must thicken relational constraint.

What we have not yet done is invoke geometry.

In the next post, we will show how curvature emerges without spacetime — how thickening manifests as asymmetry in dependency–incompatibility orderings, without invoking manifolds, metrics, or background containers.

For now, the claim stands:

Mass does not attract. It thickens the relational architecture in which persistence remains possible.

Relational Gravity: 1 Why Gravity Cannot Be a Force

Any relational account of gravity must begin with a refusal.

Gravity cannot be a force.

This is not a provocative redefinition, nor a claim about empirical adequacy. It is a consequence of the ontology already in place. Once systems are treated as structured potentials and instantiation as a perspectival cut, force becomes an incoherent explanatory category.

---

What force presupposes

To speak of a force is already to assume:

• discrete objects with intrinsic properties,

• trajectories through a background arena,

• a medium (space or spacetime) within which action propagates,

• and a causal story in which something acts on something else.

Force explanations presuppose a world of things in motion, embedded in a container. They may differ in sophistication — Newtonian, field-theoretic, geometric — but they share this basic grammar.

A relational ontology rejects that grammar at the outset.

---

No container, no trajectory, no action

If instantiation is a perspectival cut rather than a temporal process, then:

• there is no pre-existing space in which things move,

• no time along which motion unfolds,

• no intrinsic mass that could be acted upon.

What exists are phenomena actualised under constraint. Persistence across perspectives is not explained by motion through an arena, but by the coordination of cuts within a structured potential.

In such a framework, force has nothing to do.

---

The explanatory dead end of force

One might try to retain gravity as a force metaphorically — as a convenient shorthand. But this quickly collapses.

If gravity is a force, then:

• it must act through space (which is no longer a container),

• it must act over time (which is no longer a flow),

• and it must act on mass (which is no longer intrinsic).

Each of these terms has already been reconceived relationally. Retaining force would require reintroducing exactly the metaphysics the ontology has ruled out.

This is not parsimony; it is inconsistency.

---

What remains once force is removed

Removing force does not remove gravity. It removes a mode of explanation.

What remains is the question that replaces it:

What constraints must be in place for phenomena to persist across perspectives in the presence of high resistance to reconstrual?

Gravity, if it exists, must answer to this question — not to one about attraction, action, or motion.

---

Setting the task ahead

This series will proceed by taking that question seriously.

We will show that:

• gravity emerges necessarily from mass understood as resistance to reconstrual,

• attraction is a phenomenal effect, not a causal mechanism,

• and what appears as motion is in fact constrained re-cutting within a thickened relational architecture.

For now, the point is simpler and more exacting:

If gravity exists in a relational ontology, it cannot be a force.

Anything else would already be a retreat.

Relational Constraints: 5 Why c, Time, Space, Mass & Energy Co-Arise: Persistence Across Perspective

Having explored c, time, space, mass, and energy individually, we now consider why they always appear together in relationally coherent phenomena. Their co-occurrence is not coincidental; it is a necessary condition for persistence across cuts.

---

Co-constraints of relational persistence

Every phenomenon that can be identified across multiple perspectives must satisfy a network of co-constraints:

1. c: the maximal rate at which distinctions can be co-actualised.

2. Time: ordering of dependency between distinctions.

3. Space: ordering of incompatibility between distinctions.

4. Mass: resistance of the configuration to reconstrual.

5. Energy: density of alternative cuts available for actualisation.

Remove any one of these, and a phenomenon cannot maintain coherence across perspectives:

• Without c, distinctions collide or fail to synchronise.

• Without time, dependency is violated; identity cannot be maintained.

• Without space, incompatible distinctions cannot be separated, leading to incoherence.

• Without mass, configurations collapse under reconstrual.

• Without energy, the system lacks potential for sustained actualisation.

Each is structurally necessary. Together, they form a minimal relational architecture for the persistence of phenomena.

---

Persistence, not substance

From this perspective, the familiar physical quantities emerge not as substances or intrinsic properties, but as measures of architectural constraint:

• c is invariant because it is required for coherent co-actualisation.

• Time and space emerge as orderings that preserve identity under this constraint.

• Mass measures the stability of configurations; energy measures their potential for future actualisations.

No single concept has explanatory primacy; their meaning arises from the systemic requirement of perspective-coherent persistence.

---

Completing the series

Together, the five posts form a unified argument:

1. The Prohibition — c, time, space, mass, and energy are not entities or properties.

2. c as Constraint — the invariant bound on relational co-actualisation.

3. Time & Space — dual orderings of dependency and incompatibility.

4. Mass & Energy — resistance and potential within the relational architecture.

5. Why They Co-Arise — their co-occurrence is necessary for persistence across perspective.

This series reframes what physics calls fundamental constants and quantities as relational co-constraints, revealing an underlying architecture of possibility and persistence. It opens avenues for exploring relational reformulations of physical law, categorical perspectives, and emergent phenomena without invoking substance, container, or intrinsic property.

Relational Constraints: 4 Mass & Energy: Resistance and Potential

Having established c as an architectural constraint and time and space as dual orderings, we now turn to mass and energy. In relational terms, neither is an intrinsic property or a substance. Both are measures of how relational cuts interact with the system’s architecture.

---

Mass as resistance to reconstrual

Mass is commonly treated as an intrinsic property of matter. Here, it is reinterpreted relationally:

• Mass quantifies the resistance of a relational configuration to being re-cut.

• High mass corresponds to configurations whose potential for alternative actualisations is tightly constrained, making them stable across perspectives.

• Low mass corresponds to configurations that are more flexible, easier to reconstrue, and less stable.

Mass is therefore not “stuff,” but a measure of structural persistence: how well a phenomenon maintains identity as it is actualised across multiple cuts.

---

Energy as intensity of potential actualisation

Energy, similarly, is not a material quantity or substance. It measures the intensity with which alternative cuts are available within a system:

• High energy = many nearby cuts are possible, the system is rich in potential actualisations.

• Low energy = the system is locally exhausted, with few alternatives available.

Energy conditions what can be actualised next; it does not itself carry meaning or value. It is purely a measure of potential for relational actualisation.

---

Mass, energy, and relational scaffolding

Mass and energy emerge within the same constraint architecture defined by c, time, and space:

• Mass measures resistance to reconstrual along the dependency and incompatibility orderings.

• Energy measures density of alternative possible cuts, the intensity of available relational moves.

• Both are relational: they depend entirely on the system and the cut, not on intrinsic properties of phenomena.

This relational framing explains familiar physical relationships:

• Mass couples to energy because more stable configurations allow for more intensive potential actualisation.

• Mass curves relational orderings (analogous to gravity) because resistance to reconstrual reshapes dependency and incompatibility networks.

---

Next steps

With mass and energy understood relationally, we are ready to complete the series by showing why c, time, space, mass, and energy always co-arise. This final post will demonstrate that their co-occurrence is not coincidental but necessary for the persistence of phenomena across perspectives.

Relational Constraints: 3 Time & Space: Dual Orderings of Dependency and Incompatibility

Following our discussion of c as an architectural constraint, we now examine time and space. In a relational ontology, neither is a container, a pre-existing axis, or a dimension within which phenomena occur. Instead, they are dual orderings that emerge from the same relational architecture.

---

Time as ordering of dependency

Time is commonly treated as a flow or a linear axis along which events occur. In relational terms, this is misleading. Time is not something that passes; it is the ordering of cuts by dependency.

• Each cut actualises certain distinctions.

• Some distinctions depend on the prior actualisation of others.

• Time is thus the ordering that preserves coherent dependency between distinctions across perspectives.

Put differently, temporal ordering is emergent from the relational structure of the system: it tells us which cuts must precede others to maintain identity and coherence.

Time dilates or contracts not because it is elastic, but because the dependency structure is perceived differently from different perspectives.

---

Space as ordering of incompatibility

If time orders dependency, space orders mutual exclusivity.

• Space measures which distinctions cannot be co-actualised simultaneously without generating conflict or incoherence.

• Distance is not a metric in a container but a measure of resistance to simultaneous actualisation.

Phenomena that appear “far apart” are not distant in some absolute sense; they are relationally incompatible, and any co-actualisation must respect that incompatibility. Space is thus a relational metric: it is structural, not substantial.

---

The duality and the role of c

Time and space are dual projections of the same underlying constraint system:

• Time orders what must come before what (dependency).

• Space orders what cannot come together (incompatibility).

c fixes the ratio between them: it sets the maximum rate at which dependencies can be actualised without violating incompatibility constraints. In other words, c is the invariant that preserves coherence across the dual ordering of time and space.

---

Implications for relational ontology

1. Neither time nor space exist independently; both are features of relational constraint architectures.

2. Changes in temporal or spatial measures reflect altered perspectives on dependency and incompatibility, not absolute flows or distances.

3. The familiar spacetime metrics of physics are emergent codifications of these relational orderings, not fundamental entities.

In the next post, we will extend this framework to mass and energy, showing how they emerge as measures of resistance to reconstrual and intensity of potential actualisation within this relational scaffolding.

Relational Constraints: 2 c as Constraint: The Architecture of Co-Actualisation

In the previous post, we established the foundational prohibition: c, time, space, mass, and energy cannot be treated as entities, intrinsic properties, or dimensions. We also framed the question relationally: what constraints must be in place for a phenomenon to persist across cuts?

We turn now to c.

---

c is not a speed

Mainstream physics treats c as “the speed of light.” In a relational ontology, this is a representational trap. c is not something that moves; it does not propagate; it does not exist as a thing.

Rather, c is an architectural constraint:

It sets the maximal rate at which a relational distinction can be co-actualised across perspectives.

It is, in effect, the measure of synchronisation possibility within a system: how quickly one distinction can be actualised without violating the structural integrity of others.

---

Constraint, not causality

c is often interpreted as causal — the ultimate speed limit. From a relational perspective, this interpretation is backwards. There is no pre-given spacetime in which causes propagate.

Instead, c is structural:

• It is a bound on co-actualisation.

• It ensures that the ordering of dependency (time) and incompatibility (space) remains coherent.

• It applies equally to all phenomena: it is invariant not because it is universal in space or time, but because it is necessary for persistence across any cut.

We can think of it as the logic of coordination made material: if distinctions are actualised faster than c permits, the system cannot maintain identity across perspectives.

---

c and perspectival shifts

Instantiating a phenomenon is a perspectival shift — a cut. Every cut must satisfy the constraints imposed by c, or the resulting phenomenon cannot be coherently identified as the same across multiple perspectives.

This explains why c appears in every branch of physical description: it is not a property of light or of spacetime, but a requirement for phenomenal continuity under relational actualisation.

Put differently, c marks the architecture of possible synchronisation:

• Too slow: distinction spreads without coherence.

• Too fast: distinctions collide and cannot co-actualise.

It is neither observed nor measured directly; it is inferred from the persistence of phenomena themselves.

---

c as the minimal invariant

In relational terms, c is the minimal invariant constraint that permits multiple cuts to be coordinated. It is the backbone of persistence. Nothing else — not mass, energy, space, or time — could maintain coherence if c were unconstrained.

It is architectural, invariant, and systemic:

• Architectural, because it structures the system of possible actualisations.

• Invariant, because it must apply across all perspectives to maintain identity.

• Systemic, because it is a property of the cut-structure, not of any individual phenomenon.

---

In the next post, we will see how time and space emerge as dual orderings of dependency and incompatibility, and how c fixes the ratio between them. Together, they form the relational scaffolding within which mass and energy can later be understood as measures of resistance and potential.

Relational Constraints: 1 The Prohibition: Against Entities, Dimensions, and Properties

Any attempt to speak about c, time, space, mass, and energy must begin with a prohibition.

From a relational ontology, none of these may be treated as:

• entities that exist independently of phenomena,

• dimensions within which phenomena occur, or

• intrinsic properties possessed by things.

To do so would already presuppose what the ontology rejects: a world made of objects with attributes, situated in a container of space and time. The relational ontology begins elsewhere — with systems as structured potentials and instantiation as a perspectival cut.

What exists, on this view, is not a pre‑given spacetime populated by objects, but the actualisation of phenomena under constraint. Meaning, stability, persistence — all arise only with a cut, never prior to it.

The question, then, is not:

What are c, time, space, mass, and energy?

but rather:

What constraints must be in place for a phenomenon to persist across multiple relational perspectives?

It is only at this level that these familiar terms can re‑enter the discussion without smuggling in representational assumptions.

---

Systems, cuts, and constraint

A system, in this ontology, is a theory of possible instances: a structured potential. Instantiation is not a process unfolding in time, but a perspectival shift — the cut that actualises a particular phenomenon.

Once this is accepted, several consequences follow immediately:

• There is no time before instantiation.

• There is no space within which instantiation occurs.

• There are no intrinsic properties carried from one instance to the next.

And yet, phenomena exhibit remarkable regularities. Some persist. Some resist reconstrual. Some require coordination across perspectives. These regularities are not explained by hidden entities or dimensions, but by systemic constraints.

It is at this level — constraint rather than substance — that c, time, space, mass, and energy properly belong.

---

The mistake of fundamentality

In mainstream discourse, these terms are treated as fundamental. In a relational ontology, this is precisely backwards.

They are not fundamental to phenomena; they are fundamental to the possibility of phenomena persisting across cuts.

This distinction matters. It allows us to say, without contradiction, that:

• time can dilate without becoming unreal,

• space can curve without being a container,

• mass can resist change without being a substance,

• energy can enable transformation without being meaningful,

• and c can remain invariant without being a thing.

Each of these is a constraint on how distinctions may be co‑actualised — nothing more, and nothing less.

---

What follows

The remaining posts in this series will articulate these constraints one by one:

• c as the invariant bound on relational co‑actualisation,

• time as the ordering of dependency between cuts,

• space as the ordering of mutual incompatibility,

• mass as resistance to reconstrual,

• energy as the density of available alternative cuts.

Taken together, they form a single claim:

What physics treats as fundamentals are, from a relational ontology, the minimal co‑constraints required for a phenomenon to remain identifiable across perspective.

Only once this consolidation is complete does it make sense to explore further avenues — categorical reformulations, critiques of spacetime realism, or reconstruals of gravity. For now, the task is simpler and more exacting: to keep the prohibition intact and see how much explanatory work constraint alone can do.

Relational Constraints: c, Time, Space, Mass, Energy: Introduction

Physics and metaphysics often treat c, time, space, mass, and energy as fundamental entities, intrinsic properties, or dimensions of the universe. This series challenges that assumption from a relational ontology perspective: these quantities are not things in themselves, but co-constraints that make phenomena possible and persistent across perspective.

---

Purpose of the series

The goal of this mini-series is to:

1. Present c, time, space, mass, and energy not as substances or measures of things-in-the-world, but as structural invariants of relational actualisation.

2. Show how each concept emerges from the requirements of persistence and coherence across cuts, rather than from pre-existing containers or flows.

3. Demonstrate why these concepts always co-arise: their co-occurrence is a necessary relational architecture.

By doing so, the series reframes familiar physical notions as features of relational constraint rather than properties of reality itself.

---

Structure of the series

1. The Prohibition — Why none of these are entities, dimensions, or properties.

2. c as Constraint — The invariant bound on relational co-actualisation.

3. Time & Space — Dual orderings of dependency and incompatibility.

4. Mass & Energy — Measures of resistance to reconstrual and potential actualisation.

5. Why They Co-Arise — Persistence across perspective as the unifying condition.

Each post builds upon the previous one but is self-contained, allowing readers to engage with specific aspects while keeping the systemic argument intact.

---

Reading guidance

• Approach the series as an exploration of architecture, not substance.

• Focus on constraints and co-constraints, rather than on “things” or “flows.”

• Pay attention to relational coherence: the central thread is how phenomena persist across perspectives, not how they exist in a pre-given world.

By the end of the series, readers will see how the familiar constants and quantities of physics can be interpreted as relational invariants, revealing a deeper architecture of possibility and persistence.

A Nonsensical Interlude: 5 The Cheshire Cat on Necessity (or: Why It Grins Even When Nothing Enforces It)

Alice was thinking very hard when the Cheshire Cat appeared — first the grin, then the eyes, then the rest of him, as if existence itself were arriving in stages.

“I don’t understand necessity,” Alice said. “Everyone insists that things must be a certain way. But no one can quite say who’s doing the insisting.”

“That’s because no one is,” said the Cat cheerfully. “Which is why it’s so funny.”

Alice frowned. “But surely if something is necessary, it has to be enforced.”

“Only if you think necessity is a sort of shouting,” replied the Cat. “Most people do. They imagine a great cosmic schoolmaster rapping the universe’s knuckles whenever it misbehaves.”

“And there isn’t one?” asked Alice.

The Cat’s grin widened. “If there were, I’d have met him. I get around.”

“Well then,” Alice said slowly, “why can’t things just be otherwise?”

“They can,” said the Cat. “Just not and still be the same thing.”

Alice sat down on a tree root. “That sounds like a trick.”

“Of course it does. All good necessities are.”

The Cat began to fade, leaving the grin hovering thoughtfully.

“Look at it this way,” the grin continued. “A triangle must have three sides. Not because anyone forbids four — but because once you add one, you’re no longer talking about a triangle. Nothing is punished. Nothing is stopped. You’ve simply wandered off without noticing.”

“So necessity is about staying put?” Alice asked.

“About staying coherent,” said the Cat. “Systems are terribly picky that way.”

“But in physics,” Alice objected, “they talk about laws — things that must happen.”

“Yes,” said the Cat. “That’s because ‘constraint’ doesn’t sound nearly important enough. Humans like their necessities to feel muscular.”

The rest of the Cat vanished, leaving only the grin, now floating freely.

“In truth,” it said, “necessity is just what remains when you refuse to change the rules halfway through describing something.”

“And if you do change them?”

“Oh, you’re perfectly free to,” said the grin. “You just won’t be describing that system anymore.”

The grin lingered a moment longer.

“No commands,” it added. “No enforcement. Just the quiet refusal of meaning to follow you somewhere it cannot survive.”

Then even the grin disappeared.

Alice noticed that nothing in the world had moved at all.

Yet everything felt a little clearer.

A Nonsensical Interlude: 4 After the Wall

Alice walked on for some time after Humpty Dumpty fell silent.

The wall, she noticed, remained standing. Nothing had cracked. Nothing had been enforced.

What lingered was not Humpty’s authority, but the curious ease with which it had evaporated.

She realised then that most confusions in physics are not born of bad mathematics, nor even of false claims, but of overconfident metaphors. We mistake summaries for edicts, constraints for commands, invariants for governors. We speak as if the universe were being ordered about, when all that has happened is that a system has been described coherently.

Humpty had insisted that law meant whatever he chose it to mean.

But the deeper absurdity was not his arrogance — it was how familiar it felt.

Once the idea of governance is released, explanation grows quieter, not weaker. Nothing needs to be pushed. Nothing needs to be compelled. Relations hold because removing them would leave nothing left to talk about.

The world does not obey.

It simply remains describable — for as long as we do not ask it to play the wrong role in our stories.

Alice smiled to herself and kept walking.

Behind her, the wall cast no shadow of authority at all.

A Nonsensical Interlude: 3 Humpty Dumpty on Laws (or: Meaning by Decree — Neither More Nor Less)

Characters:

• Humpty Dumpty, pompous, self-assured, loves definitions

• Alice, patient and grounding, slowly disentangling nonsense

• Cheshire Cat, grinning, pointing out the structural underpinnings without judging

---

[Humpty Dumpty is perched on a wall of mathematical tomes, arms wide.]

HUMPTY DUMPTY:

When I use a word, it means exactly what I choose it to mean — nothing more, nothing less.

Thus, all laws obey me. Obey my definitions!

ALICE:

But laws… aren’t they meant to describe patterns, not to be decreed?

HUMPTY DUMPTY:

Pattern? Ha! Pattern is merely what I call pattern.

I define the universe as I please, and the laws conform accordingly.

If light must travel at c, it’s because I have declared it so.

CHESHIRE CAT (appearing as a grin across the wall):

Ah, Humpty, how generous of you. So physics is a game of your rules?

HUMPTY DUMPTY:

Exactly! And anyone who questions me misunderstands the word law.

Law is exactly what I say it is, by the authority of my wall.

---

Alice:

But isn’t there a difference between defining a term and declaring the universe must behave a certain way?

HUMPTY DUMPTY:

Only for the unimaginative! If I say laws command, they command. If I say they summarise, they summarise.

Words are obedient to me — far more than your particles or time ever were.

CHESHIRE CAT:

So invariants are just… what you decide them to be?

HUMPTY DUMPTY:

Indeed. The universe merely pretends to follow.

I am the only true governor here. And the law of gravity, the law of motion, the law of c? Mere echoes of my pronouncements.

---

Alice:

But physicists measure these “laws” as if they exist independently.

HUMPTY DUMPTY:

Fools! They measure my declarations, never the universe itself.

A ruler is only as straight as I say it is.

A second is only as long as I decree.

An invariant is only invariant because I call it so.

CHESHIRE CAT:

And if you changed your mind?

HUMPTY DUMPTY:

Then everything changes — except, of course, my authority.

I never waver. Reality, on the other hand, is infinitely flexible.

Which is why I prefer to sit on a wall — safe, observant, imperious.

---

Alice:

So the “necessity” of laws is… only relative to your choice of words?

HUMPTY DUMPTY:

Exactly. Remove Humpty Dumpty’s decree, and the “law” vanishes.

Nothing compels the universe, Alice. Nothing governs.

I merely choose a vocabulary, and the world appears obedient by accident.

CHESHIRE CAT:

Ah! So necessity without enforcement — you’ve discovered the relational trick.

HUMPTY DUMPTY:

Trick? Nonsense. It is simple — law is definition, not instruction.

Meaning belongs to me. Nothing else.

And once you see that, the universe obeys nothing but the logic of its own structure.

---

Alice:

Then the universe doesn’t need to be coerced.

All these “laws” are structural constraints, not commands?

HUMPTY DUMPTY:

Exactly. I merely name them. That is all.

The only obedience is descriptive — not causal.

The only enforcement is semantic — not physical.

Which is why I always advise sitting on a wall.

From there, you can decree law, watch meaning dance, and nobody falls — except maybe themselves.

CHESHIRE CAT (fading, leaving only a grin):

And that, dear Alice, is why physics is never a tyrant, only a very polite wallflower.

Alice:

Then I suppose the Queen was never in charge, and the Hatter never pushed?

HUMPTY DUMPTY:

Precisely! And I, Humpty Dumpty, remain the ultimate legislator of words.

Everything else merely behaves as if it obeys.

---

[Curtain. The wall remains stable. The laws wobble gently.]

A Nonsensical Interlude: 2 The Mad Hatter on Determinism (and Why Time Won’t Behave)

Alice (finding herself at the tea table again):
I thought we were finished with this conversation.

The Mad Hatter (without looking up):

Finished? Nonsense. Conversations don’t finish. They merely insist.

March Hare:

Or repeat themselves very loudly.

Alice:

You were saying that everything must happen exactly as it does.

Hatter (brightly):

Of course! Otherwise it wouldn’t have happened that way, would it?

Alice:

That sounds less like an explanation and more like a tautology.

Hatter:

Ah! You’ve noticed the elegance. Determinism is very economical.

It explains everything by saying it had no alternative.

Alice:

But what makes it have no alternative?

Hatter (stirring his tea counter-clockwise):

Time, of course.

Alice:

Time makes it so?

Hatter:

Time insists upon it. Marches it along. Pushes events from behind.

Tick, tock — no turning back.

March Hare (leaning in):

Time once tried to push me. I bit him.

---

Time misbehaves

Alice:

Is Time really like that? A kind of invisible governor?

Hatter (suddenly offended):

Governor? Absolutely not. Time doesn’t govern.

Time sulks.

Alice:

Sulks?

Hatter:

Yes. If you treat him as a mechanism, he stops behaving like one.

That’s why he’s always stuck at tea-time here.

March Hare:

We offended him by insisting things had to happen in order.

Alice:

Then perhaps time isn’t doing any enforcing at all.

Hatter:

Enforcing? Oh no. That’s a human habit.

Time merely provides the table. You lot keep mistaking the furniture for instructions.

---

Determinism under inspection

Alice:

When people say the universe is deterministic, they mean that given the past, the future is fixed.

Hatter:

Fixed how?

Alice:

It cannot be otherwise.

Hatter (grinning):

Cannot be otherwise where?

Alice:

In reality.

Hatter:

Splendid answer. Very foggy.

Tell me, is this “cannot” something that acts?

Alice:

I suppose not.

Hatter:

Does it push events along? Scold them if they try to deviate?

March Hare:

I’ve never seen it raise its voice.

Alice:

Then perhaps determinism isn’t a force at all.

Hatter:

Now you’re getting uncomfortable — excellent sign.

---

Explanation without pushing

Alice:

Could it be that determinism doesn’t explain events by causing them,

but by describing a structure in which they already fit?

Hatter (applauding softly):

Careful, Alice. You’re in danger of saying something precise.

Alice:

If the system is defined in a certain way, then once something happens, it couldn’t have happened differently without changing the system.

Hatter:

Exactly! And no one changed the system — they merely described it.

March Hare:

Descriptions are much lazier than causes.

Hatter:

Indeed. Causation requires effort. Structure merely is.

---

Where necessity sneaks in

Alice:

But people feel that determinism is necessary — that the world had no choice.

Hatter:

Choice is another dreadful anthropomorphism.

The universe was never offered a menu.

Alice:

So the necessity isn’t imposed?

Hatter:

It’s internal. Like the necessity that a triangle have three sides.

Remove one, and you don’t get rebellion — you get no triangle.

March Hare:

I once removed a side. It became a hat.

---

The real confusion

Alice:

Then the mistake is thinking that because explanations are necessary, something must be enforcing them.

Hatter (pouring tea onto the table):

Precisely! Humans see necessity and immediately invent a policeman.

But constraint needs no badge.

Alice:

So determinism doesn’t say events are compelled.

Hatter:

It says only this:

Given this way of carving the system, this is what counts as coherent.

Anything else isn’t forbidden — it’s just indescribable here.

---

Closing nonsense (the serious kind)

Alice:

Then time isn’t misbehaving after all.

Hatter:

Oh, it misbehaves wonderfully.

It refuses to act like a cause while everyone insists on treating it like one.

March Hare:

That’s why we keep having tea. No one’s pushing us forward.

Hatter (raising his cup):

To determinism without destiny,

necessity without force,

and explanations that don’t shove the world about.

Alice (smiling):

And to time —

who never told us what to do,

only where the table was.

All:

Hear, hear!

A Nonsensical Interlude: 1 On Explanation Without Governance

Dramatis Personae

• The Queen of Hearts, who explains everything by shouting it louder

• The Cheshire Cat, who understands things by not being there

• Alice, who insists on sense, much to everyone’s inconvenience

---

[A croquet lawn. The mallets are clocks. The hedgehogs are equations. The Queen is already angry.]

QUEEN OF HEARTS:

Explanation must cause things! Otherwise how would anything happen? Off with its causes!

ALICE:

I don’t think causes wear heads, Your Majesty.

QUEEN:

Then how do explanations explain? Something must make things be the way they are! That’s what explanation means!

CHESHIRE CAT (appearing gradually, beginning with a grin):

Does it? I always thought explanation meant “Now I can see how this fits.”

QUEEN:

FITS?! Things don’t fit! They’re forced! Laws govern! Equations command! Particles obey!

ALICE:

Obey whom?

QUEEN:

THE LAWS, of course!

CHESHIRE CAT:

How fortunate for the particles that they’re such good readers.

---

[The Queen strikes a hedgehog. It refuses to roll.]

QUEEN:

See! Disobedience! The universe is falling apart!

ALICE:

Or perhaps the hedgehog simply isn’t the sort of thing that rolls.

QUEEN:

Nonsense! Everything rolls because something makes it roll!

CHESHIRE CAT:

I once rolled without being pushed at all. Of course, I was falling — but that’s a different sort of explanation.

ALICE:

Is falling caused by something pushing?

CHESHIRE CAT:

Only if you insist on blaming the ground.

---

QUEEN:

If nothing governs anything, then anything could happen!

ALICE:

Could it?

QUEEN:

Yes! Cats could turn into teapots! Time could run backwards! Signals could go faster than light!

CHESHIRE CAT:

They could — but then we wouldn’t be talking about this system anymore.

ALICE:

So the impossibility isn’t a punishment?

CHESHIRE CAT:

No. It’s a disappearance.

---

QUEEN:

I don’t like disappearances. They’re very ungoverned.

ALICE:

Your Majesty, when physicists say something is necessary, do they mean the universe has no choice?

QUEEN:

Of course! It must obey!

CHESHIRE CAT:

Or else what?

QUEEN:

…

(pause)

I hadn’t considered that.

CHESHIRE CAT:

If you remove the invariant, you don’t get rebellion. You get nonsense — the wrong kind.

---

ALICE:

So explanation isn’t about what forces something to happen…

CHESHIRE CAT:

…it’s about what must already be in place for the thing to make sense at all.

QUEEN:

Then what do laws do?

CHESHIRE CAT:

They don’t do. They hold.

ALICE:

Like the rules of a game?

CHESHIRE CAT:

Exactly — except no one is playing it on purpose.

---

QUEEN:

I demand an explanation that commands!

CHESHIRE CAT:

You may shout at the equations if you like. They will remain very polite and completely unmoved.

ALICE:

And yet everything still hangs together.

CHESHIRE CAT:

Which is rather the point.

---

QUEEN:

So the universe isn’t ruled?

CHESHIRE CAT:

No.

ALICE:

Is it explained?

CHESHIRE CAT:

Only to the extent that its relations are articulated.

QUEEN:

That sounds terribly weak.

CHESHIRE CAT:

It’s stronger than shouting.

---

[The Cat fades. The Queen sulks. Alice looks thoughtful.]

ALICE:

Then explanation doesn’t say why the world behaves.

CHESHIRE CAT (only the grin remains):

It says under what conditions the behaviour can be recognised as behaviour at all.

QUEEN:

I suppose that will have to do.

CHESHIRE CAT:

It always has.

---

[Curtain. The hedgehogs remain perfectly invariant.]