EXISTENTIAL GROUND · SOURCE, RELATION, AND CONSEQUENCE

Causal Resolution and the Dynamic Ground

A real difference matters through its relations and constraints. The task is to explain how it becomes consequential.

Matthew Tripp Zejda

I want to follow a change into the conditions that make it possible. Naming a cause, a law, or the passage of time is not enough. The account has to show what obtains, which differences matter, what their relations admit, and how the successor follows. That brings us to the dynamic question on the positive side of Existential Ground: what gives the realized structure of actuality its capacity for differentiated resolution?

Read Existential Ground EG concepts and arguments Read the formal argument

What makes a present state consequential?

The account follows Chapter 11, “The Real Question Is Why Anything Happens.” ^[1]

We can now ask what makes a present state consequential without first asking it to emerge from absolute nothingness. The earlier arguments removed that supposed starting point, along with the demand that reality complete an infinite past before anything could happen. Under the premises we’ve examined, causal continuity doesn’t need a regress-object, time doesn’t supply a container, and a first moment already presupposes the existence and capacities it was meant to explain.

In the account of Finite Resolution, I developed the positive account under PPD’s finite-present premise. One complete finite actuality can contain identities, relations, records, gradients, constraints, and whatever real source conditions participate when a successor occurs. Its completeness concerns what actually obtains. It doesn’t mean that you or I know every detail, and it doesn’t by itself explain why the state changes.

That leaves a sharper question than “Why is there something rather than nothing?”

This is the difficulty that the origin debate kept bringing us back to. Even after we’ve stopped asking nonbeing to produce reality, we still want to understand why one real arrangement can make a difference to another.

I can use logic to challenge a proposed source and identify what an explanation must include. I can’t obtain the complete physics merely by giving the remaining question a more impressive name. We need to follow the argument far enough to see what it establishes, while keeping the unfinished account of dynamics visible.

The question left after “something rather than nothing”

Chapter 11, §11.1. ^[1]

When we ask why reality obtains at all, it’s easy to assume that a sufficient answer would also explain why it changes. Those are connected questions, but the second asks for more. Occurrence supplies the existential floor. Absolute nonbeing isn’t an admissible rival state, and total reality can’t borrow actuality from a real source outside itself. Anything real enough to supply it already belongs to reality. I use Existential Ground to name that non-borrowed floor.

Self-grounding occurrence doesn’t, by itself, derive every feature of the physical world. We still have to explain why this actuality contains distinguishable identities rather than being undifferentiated, why some relations remain stable while others fail, and why a particular gradient contributes to one transition rather than another. The carriers, scales, constants, and interaction structures of this world remain part of that inquiry.

An unfinished account of those features doesn’t repair an origin story whose premises failed. It tells us where the positive explanatory work belongs. If new evidence challenges a premise shared with an earlier argument, we’ll have to follow that challenge through its consequences. Until then, a gap in our account of dynamics isn’t a reason to treat absolute nonbeing as a possible source again.

WHAT A CAUSE WAS SUPPOSED TO EXPLAIN

Aristotle’s word for a cause, aitia, was broader than the modern picture of one event pushing another. In Physics Book II, a complete explanation may ask what something is made from, what organization makes it the thing it is, what initiates the change, and what end or function the process serves. The useful inheritance is that material, form, trigger, and organized role answer different explanatory questions. I’m drawing on that distinction without adopting Aristotle’s natural teleology or his historical physics. ^{[5; book II, ch. 3]}

Leibniz’s Principle of Sufficient Reason asks why this state of affairs obtains rather than another and why an explanation should be allowed to stop where it does. It preserves the demand that a chain of dependent descriptions cannot become complete merely by adding another borrowed reason. It does not, by itself, identify the physical carrier or transition mechanism through which one state becomes another. ^[6]

Hume sharpened the opposite danger. Repeated succession does not display a visible substance called necessary connection. Experience gives us recurring conjunctions and trains expectation, but the observed sequence alone does not reveal what physical structure makes the consequence occur. The distinction matters because a regularity can be real and useful while leaving the physical basis of its causal power unresolved. ^{[7; sec. VII]}

Kant answered Hume by arguing that objective succession requires rule-governed causal order if finite experience is to be intelligible as an event sequence rather than as an arbitrary stream of impressions. I retain the need for constrained order without adopting Kant’s complete transcendental system. His argument deliberately doesn’t provide an unmediated inventory of things as they are apart from the conditions of experience. ^{[8; Second Analogy]}

These positions answer different questions, so I don’t want to flatten them into one doctrine. Aristotle asks what kinds of explanation a change requires. Leibniz presses us to say why an explanation is sufficient, while Hume asks whether we’ve mistaken repeated succession for causal power. Kant asks what rule-governed order allows a sequence to be experienced objectively at all. Together, those differences help us ask more carefully what turns a real difference into a constrained consequence.

Cause and effect are not two substances

Chapter 11, §11.2. ^[1]

When one object strikes another, it’s natural to picture a cause at one end and an effect at the other, with a push connecting them. The picture helps us describe the impact. But if we carry it into every explanation, causality can begin to sound like a third substance traveling between two otherwise isolated things.

Within the finite-resolution account, cause and effect name roles in one transition. We identify a causal contribution through the difference it makes to what can follow, and we examine the effect through what has changed in the successor. If another physical carrier participates between two objects, it belongs in that account too. Calling it causality doesn’t exempt us from explaining what it is and how it participates.

Let $\mathcal{P}$ denote the complete source actuality, let $\Gamma$ denote its presently real constraint structure, and let $\mathcal{P}'$ denote the successor. We can express their relation in a compact form.

$\mathcal{P}' = \mathcal{R}\!\left(\mathcal{P}\mid\Gamma\right).$

From the source side, we ask which features of $\mathcal{P}$ and $\Gamma$ made a difference to what followed. From the successor side, we ask what changed, persisted, formed, dissolved, or was redistributed in $\mathcal{P}'$ . The first question identifies causal contribution and the second identifies effect. Both concern the same resolved relation.

A falling rock gives us a familiar example. Its relevant source conditions include the rock, Earth, their geometry, the available energy structure, the absence of sufficient support, and the constraints under which that configuration can continue. A neuron brings different participants into view through its membrane conditions, ionic gradients, molecular channels, prior activity, and surrounding network relations. Those conditions help explain whether it reaches a firing threshold. When a person chooses, perception, memory, expectation, value, bodily state, learned response, social context, and competing modeled outcomes participate in the present act.

These examples aren’t interchangeable physical mechanisms. What they share is that the relevant difference-making structure belongs to the real source conditions. A local account may need to include coupling across its boundary, but a supposedly complete account can’t finish describing the source and then import an unexplained cause from nowhere.

That helps us hear what the sentence “a cause produces an effect” can leave unstated. If cause already means a condition that produces or constrains an outcome, asking why a cause causes may only repeat the definition. We still need to identify the structure doing the work.

We haven’t answered that question merely by writing the word law, drawing an arrow, assigning a probability, or placing both events inside one geometric representation.

Causal pictures: preserved contribution and remaining burden
Causal picture	What it preserves	What it still owes
Mechanical push	Visible transfer and interaction	The complete source relation and its available difference
External law	Stable regularity	How the law has causal standing in the actual state
Probability jump	Outcome frequencies or uncertainty	A declared state space, probability law, carrier, and testable interpretation
Finite resolution	Source difference, constraint, and successor	A physical ledger and tested transition machinery

I’m identifying the requirements of a complete account, not claiming that the final physical answer has already been derived. The causal-resolution argument preserves these explanatory roles without uniquely selecting one transition law. A stochastic theory can meet that burden through a declared probability law and its physical interpretation even though PPD adopts a deterministic architecture.

Difference comes before direction

Chapter 11, §11.3. ^[1]

To explain a transition, we need distinguishable conditions and a relation through which they matter. These may include more here and less there, a supported load, source and recipient roles, or a gradient relative to equilibrium. The account must show which continuations those conditions admit or exclude.

That doesn’t mean every event needs two separate material objects. One system may contain different degrees of freedom, internal regions, competing constraints, stored differences, or distinguishable functional roles. What matters for the explanation is difference that matters within the system we’re examining.

Nor does every difference matter to every outcome. The color of a container may be irrelevant to a reaction inside it. A molecule’s position may matter at one scale while falling below the distinctions retained by a higher-level description. We therefore have to identify the difference relevant to the transition, rather than assume that every detail contributes in the same way.

In this account, a transition-relevant difference changes the admissible successor set or its weighting when varied with the other declared conditions held fixed. That comparison must itself make sense within the model. It doesn’t ask us to change an interdependent quantity while impossibly freezing every consequence of the change. A probability may shift even when the same outcomes remain possible, so relevance needn’t mean that an outcome becomes wholly excluded.

The connection can be written as a sequence of explanatory roles.

$\boxed{ \text{difference} \longrightarrow \text{relation} \longrightarrow \text{constraint} \longrightarrow \text{closure or reconfiguration} }$

Difference gives us distinguishable roles, and a real relation connects those roles within the system. Its constraints limit which configurations can persist or follow. When the relevant organization remains supportable, closure can preserve an identity even as its internal state changes. Reconfiguration may help maintain that identity, as it does in a functioning cell, or may carry it beyond the continuity criterion by which it counts as the same thing. Ordinary change and loss of identity aren’t the same event.

To explain a direction of change, we then have to identify the relevant asymmetry and the rule under which it matters. A gradient distinguishes values across a relation, a constraint distinguishes admissible from excluded continuations, and a record carries inherited structure rather than an unrealized alternative. These distinctions contribute to a causal account, but a gradient by itself doesn’t derive a universal arrow of time. We still owe the transition rule and its conditions. Calling the sequence temporal doesn’t supply them.

Difference supplies distinguishable roles. A relation places them within one declared system. Constraints specify admissible continuations. The outcome is closure or reconfiguration. Arrows show explanatory roles, not four successive physical moments. The source note says direction is read from asymmetry and constraint in the resolved relation. — **Figure 11.1.** The structural roles in a causal account. The declared system must represent a real relation in which differences and constraints can contribute to persistence or reconfiguration.

Relation, constraint, closure, and change

Chapter 11, §11.4. ^[1]

Putting two objects in the same sentence doesn’t make them interact. In much the same way, placing two variables in an equation doesn’t by itself identify a physical carrier connecting them. A model may correlate measurements without yet explaining what joins the measured processes.

To complete the causal account, we have to say what the relation permits, forbids, stores, transfers, or requires. Constraints do that explanatory work when we identify how they belong to the actual system. They needn’t be commands imposed from outside on passive matter. They may follow from what the participants are, how they’re organized, what boundary they share, what resources are available, and which configurations can remain coherent.

PROCESSES, CAPACITIES, POWERS, AND INTERVENTIONS

Whitehead’s process philosophy treats becoming as internal to actuality rather than as motion later added to inert substances. Enduring identities are organized continuities achieved through successive occasions. I retain the possibility that definite actuality and process belong together without adopting Whitehead’s complete experiential metaphysics, eternal objects, or theology. ^[9]

Nancy Cartwright argues that scientific explanation often depends on the capacities of real systems and on the conditions under which those capacities manifest, not on universal regularity language alone. That insight preserves the importance of active properties and context. It does not, by itself, specify one universal ontology or one complete physical ledger for every domain. ^[10]

George Molnar, followed by Stephen Mumford and Rani Lill Anjum, develops a powers or dispositional approach in which properties are able to contribute toward characteristic manifestations. This moves causal standing into the participating identities instead of assigning all efficacy to an external law. To explain the implementation, however, we have to go further. The word power can name a real capacity while still leaving the carrier, interaction structure, competing tendencies, and realized transition to be shown. ^[11][12]

James Woodward’s interventionist account asks whether changing one variable through an appropriate intervention would change another in a stable way. This gives experiment, counterfactual dependence, and causal explanation a useful discipline. It isn’t intended as a complete metaphysics of causal production. An intervention map can remain correct while the underlying carrier and physical mechanism are still under investigation. ^[13]

These approaches help us keep the explanatory questions connected without asking one answer to do every job. A process account keeps becoming within actuality. A capacity or powers account locates causal potential in real participants, while an interventionist account tests difference-making through controlled change. A physical implementation must then show how the relevant capacities are carried, constrained, combined, and resolved in the system it models.

Consider a chemical reaction. Molecular structure, concentration, temperature, available pathways, and surrounding conditions contribute to what happens. The law describes their relation rather than acting as a separate worker pushing the molecules. A cell presents a different problem because membranes, metabolism, regulation, gradients, repair, and exchange must sustain one integrated identity through ongoing change.

A decision likewise belongs to the person actually deciding. Memory, attention, fear, value, habit, bodily condition, available options, and modeled consequences shape the response. Their participation is part of the organization of agency. It doesn’t make the person an observer absent from the act, and it doesn’t guarantee that their understanding is complete. At a wider scale, an institution persists through rules, records, incentives, expectations, places, and people who reproduce its organization even as individual participants change.

Across these examples, the relation between present organization and active constraints gives us a way to ask whether a system maintains its closure, reaches a threshold, or reconfigures.

$\text{present organization} + \text{active constraints} \longrightarrow \begin{cases} \text{maintained closure},\\ \text{threshold behavior},\\ \text{reconfiguration}. \end{cases}$

I’m using this expression to organize the explanatory questions. It isn’t a universal physical equation, and every useful equation needn’t contain the whole account by itself. The detail required depends on what we’re claiming to explain. A bounded effective model can succeed without resolving every deeper physical question, provided its limits remain explicit.

For a complete account of change, we need to distinguish the identity or state that obtains now from the differences active within or across its boundary. We also need the constraints and transition rule that explain whether its configuration persists or resolves differently. This is why RSI distinguishes present admission from change pressure. Its existence gate, change gate, positive ledger, declared carrier, and post-solve readout have separate roles within the proposed architecture. ^[14]

That separation responds to a philosophical burden, but the connection doesn’t certify the physical implementation. RSI still has to show that its chosen quantities, couplings, and rules describe the systems to which they’re applied.

A source must account for its consequences

Chapter 11, §11.5. ^[1]

A proposed source must include or entail what makes its consequences possible. This applies to a complete state $G$ offered as the source of a changing world. Existential Ground names the condition of obtaining, not one physical state selected to produce all the others.

If $G$ is genuinely featureless, with no distinction, relation, potential, instability, disposition, law, gradient, boundary, or alternative, the account supplies no basis for a differentiated successor. If it also makes $G$ a true fixed point under its complete and unchanged resolution rule, the result is explicit.

$\mathcal{R}(G\mid\Gamma_G)=G.$

Under that rule, the successor is $G$ again. A departure requires a capacity or rule the account omitted, or an unexplained exception. Apparent steadiness is different: internal activity and unmanifested capacities may belong to a visibly persistent state. A real disposition or potential already belongs to the source, but its manifestation still needs an account.

A real external trigger belongs to a larger actuality, so the source described as $G$ wasn’t total. The no-second-ledger result allows a trigger outside a subsystem, not a causally effective source outside total reality.

Calling a departure brute marks where explanation stops; it doesn’t explain the transition. A declared stochastic law is different: it specifies admissible outcomes, probabilities, and the conditions under which they apply. Uncertainty alone doesn’t make an outcome a lawless exception.

In a relationally complete source, difference and resolution capacity belong to what already obtains. Their carriers and rules must still be identified. That positive requirement neither explains why this particular dynamic structure obtains nor derives its physical implementation.

The five proposals therefore leave different explanatory results.

Five source proposals and their explanatory results
Source proposal	Result	Status
Featureless fixed point	No basis for differentiated succession	Cannot explain the actual world
Hidden potential or law	Dynamic capacity already exists	Not truly featureless
External trigger	Trigger belongs to the larger reality	Source was not total
Brute change	Transition remains unexplained	Honest stop, not closure
Relational ground	Difference and consequence are intrinsic	Live positive direction

The world we’re trying to explain contains change. An account of its ground must therefore include or entail a capacity for differentiated resolution. That requirement doesn’t establish that every logically possible actuality must change, or derive the deeper reason for this actuality’s capacity.

Finite closure creates interface

Chapter 11, §11.6. ^[1]

The account of finite identity in Finite Resolution gives this inquiry a concrete setting. An identity isn’t merely a pile of parts. Its organization is distinguishable enough to participate as one thing, and its continuity depends on what that organization maintains through change. That brings us from identity toward the relations through which it can act or be affected.

$\begin{aligned} \text{finite identity} &\Longrightarrow \text{distinction} \Longrightarrow \text{boundary or interface}\\ &\Longrightarrow \text{relation} \Longrightarrow \text{possible stability or mismatch}. \end{aligned}$

Here, a boundary needn’t be a hard spatial wall. It may be a membrane, a gravitational or electromagnetic interface, a functional distinction between a system and its environment, an information-processing boundary, a membership rule, or a scale-dependent closure surface. In each case, we need to identify the real conditions that separate what participates in the identity from what doesn’t. Drawing a boundary in our description doesn’t manufacture those conditions.

For a subsystem within a larger actuality, the interface tells us where and how other structures can matter to it. Actual coupling still has to be established. A boundary doesn’t guarantee active exchange, and total actuality doesn’t acquire a real exterior merely because we’re describing it as finite. The bridge concerns how a distinguishable organization can participate through the relations available to it.

When atoms form a molecule, the resulting organization constrains some of the possibilities available to its constituents and makes other relations possible for the molecule as a whole. Molecules entering cellular structures and cells forming organisms extend that question across scales. People participating in institutions, or components organized into machines and computational systems, likewise help form identities whose roles depend on how their parts are related.

The examples require different physical and organizational accounts. None is explained by calling it a higher level. Their shared lesson is that closure can constrain some relations while enabling a new participant to enter others. It needn’t collect everything into one featureless final lump. For a whole within a larger environment, maintaining internal organization may go together with continuing exposure to external conditions.

Components p one, p two, and p three form an organized finite closure with a new identity. Its interface connects it to other identities and environmental constraints. The captioned source explains that closure constrains lower-level freedoms while enabling further relations. The arrows identify possible participation; actual coupling must still be established. — **Figure 11.2.** Finite closure creates interface. An organized whole constrains relations among its parts while becoming capable of entering further relations as an identity.

The finite-closure theorem gives a scoped model of this explanatory order. Within its declared testbed, native finite closure is selected before a smooth ideal shadow is constructed for comparison. The result concerns admitted candidate configurations in that model. It doesn’t establish that every candidate occurs physically, that their mathematical ordering is a temporal process, or that the universal Dynamic Ground question has been answered. Each selected closure is finite without that fact alone fixing the cardinality of the whole candidate family. ^[15]

We can now be more precise about the relation between an interface and change. An interface makes relevant coupling possible, and a relation may support stable closure. Where the actual coupling and transition rule make the current configuration unsustainable, the system reconfigures. A difference that remains below an activation threshold, or a capacity whose conditions aren’t met, doesn’t force that result merely by existing.

Read “constraint-relevant mismatch” in the following expression in that active sense. It means a mismatch that, under the declared rule and conditions, prevents the configuration from continuing unchanged.

$\text{interface} + \text{constraint-relevant mismatch} \Longrightarrow \text{reconfiguration}.$

The reconfiguration may still preserve the identity, just as internal change can maintain a cell. Identity loss requires failure of the relevant continuity criterion. Finitude alone neither forces every identity to decay nor proves that every possible interface is exchanging something. It makes distinct participation describable, leaving the actual dynamics to be shown.

What is established and what remains open

Chapter 11, §11.7. ^[1]

We can keep the open question precise without allowing it to swallow everything we’ve learned. Observing change, explaining its local structure, and deriving dynamics from self-grounding actuality have different burdens. The status of one doesn’t automatically settle the others.

The distinction matters most when we place the claims beside one another.

Claims about dynamics: exact force and status
Claim	Exact force	Status
Actual reality is differentiated and changing	Experience and measurement provide evidence of real differences and change beyond the minimum occurrence claim	Established
Cause is a separate substance	Cause and effect are source-side and successor-side readings of one constrained transition	Superseded
Finite identity creates distinction and interface	A finite organized whole is distinguishable from what does not participate in that identity	Structural bridge
Every possible self-grounding actuality must be dynamic	The universal derivation from occurrence alone is not yet complete	Open
Exact RSI equations follow uniquely from EL	EL constrains the architecture while the equations retain mathematical and empirical burdens	Not claimed

The unresolved universal question belongs beside those results with its own burden intact.

Leaving that work open doesn’t make nonbeing into a state, completed infinity into an elapsed prerequisite, regress into ground, or a first event into the source of the capacities it presupposes. Those conclusions retain the premises on which they were argued. A counterargument must address those dependencies, just as a successful positive account must explain how deeply dynamic relational structure follows and how it is physically realized.

Why every physical account must now show its work

Chapter 11, §11.8. ^[1]

I can now state what I’m asking of a physical account of change. The demand is proportionate to its scope. A model that explains a bounded relation needn’t settle every question about ultimate reality, but it must make clear which explanatory roles it supplies and which remain open.

THE CAUSAL ACCOUNTING CONTRACT

Begin with the system whose change you’re trying to explain. Identify its participating identities, regions, degrees of freedom, and relations, then state the boundary across which relevant exchanges can occur. An account of a subsystem must say whether that boundary is open or closed relative to the quantity being tracked.

Within those conditions, identify the difference or capacity that can matter to the successor. It may involve a gradient, allocation, asymmetry, tension, stored structure, or other consequential relation. Explain how it is physically carried and which constraints make some continuations admissible while excluding or differently weighting others.

The transition rule must then connect those source conditions to a successor. Where the claim involves physical resources, its ledger must account for what is transferred, preserved, redistributed, consumed, or supplied. If identity is at issue, show whether the transition preserves it, crosses a threshold, dissolves it, merges or fragments it, or forms a new closure.

Finally, distinguish that account from the observations through which we test it. Measurements can inform the inquiry throughout. Geometry may describe a carrier, a field may participate in the state, and a probability law may belong to the transition rule. Their role has to be specified rather than assumed. In RSI, native selection precedes the associated readout and smooth shadow, while the geometric inputs required to define the candidate system already belong to the solve. A representation of the answer can’t substitute for the relation it claims to explain.

The machine-and-work analogy makes this distinction tangible. If a machine performs work, calling its operation causal doesn’t supply the energy account. We have to identify the available difference and explain how the machine’s organization makes that difference usable. The rule describing a transfer and the capacity being transferred have different roles.

If the declared system exports net work, we need to examine its source, depletion, incoming transfers, and any omitted terms. “Closed” must refer to the quantity being tracked, since a boundary closed to matter can still transmit energy. Once the relevant exchanges have been accounted for, a remaining mismatch may challenge the model or the conservation claim in its stated domain. Existential inclusion alone doesn’t prove a quantitative conservation law.

Chapter 12 takes up that physical burden. The distinction we need to carry into it is straightforward.

The question extends across domains because we repeatedly ask how present structure becomes consequential. In physics, we ask how gradients, fields, geometry, and energy participate in transition. In biology, we ask how organized living closure maintains itself, acts, and changes. Consciousness and agency bring us to the relation between integrated physical organization, memory, value, attention, deliberation, a present point of view, and an action. Social explanation concerns how rules, institutions, incentives, and shared representations contribute to collective behavior. Religious and metaphysical accounts ask why ultimate reality is active, ordered, and meaningful rather than inert.

These questions are connected, but they don’t have one interchangeable answer. An account of physical transition doesn’t by itself establish experienced meaning or a moral judgment. Each explanation has to show what makes a difference in its own domain and how any further conclusion follows from it. That is how we can carry an argument from reality into conduct without asking a theory of gravity to supply an ethical standard on its own.

What this changes for the epistemic agent

When you reconsider a belief, the reconsideration is happening within the world you’re trying to understand. You hold a claim in mind, compare it with a memory or a new piece of evidence, and perhaps revise what you expect or do. This is part of what it means to be an epistemic tokening agent. Your representations are real activities through which you encounter and respond to things, even though the claims you represent can be mistaken.

You’re participating in causation when you do that. Memories, values, knowledge, habits, relationships, bodily conditions, and present attention help shape your response. A reason doesn’t become powerless because it has causes. It can matter precisely because understanding it changes something about the person who is deciding.

Learning may reveal an option you couldn’t previously see. Care may change what you attend to, and practice may change what you’re able to do when the moment arrives. None guarantees the result you want. Time, resources, other people, uncertainty, and conditions beyond your control remain part of the same causal situation. Your limits are real, and so is your participation. You don’t have to stand outside causation for an effort to matter within it.

SYNTHESIZED ANALYSIS

The world we encounter contains real differences and change. Within finite resolution, cause and effect name source and successor roles in a constrained transition. A featureless fixed point can’t explain that world without adding dynamic structure or leaving its departure unexplained. Finite identities provide a setting in which we can examine distinction, interface, persistence, and reconfiguration.

I haven’t proved that every logically possible self-grounding actuality must be dynamically nontrivial, nor have I derived the exact physical laws of this world from occurrence alone. That open burden remains distinct from the requirements of an account that claims to explain an actual transition.

Such an account owes a declared system, a consequential difference or capacity, constraints, a resolution rule, and a testable successor. Its carrier, resource ledger, identity criterion, and distinction between physical structure and readout must be specified to the depth its claim requires. Chapter 12 develops what energy, work, gradients, boundaries, and conservation contribute to that explanation before we examine RSI as one proposed physical implementation.

The conditions and notation of the formal account

The following results make the requirements of a causal account inspectable. They distinguish the physical roles an explanation must supply from the further derivation of this actuality’s dynamic structure. Naming those requirements is already a substantive constraint on an explanation. It is not a claim that the complete mechanism has been obtained by naming them. ^[2]

P₀: the inherited PPD architecture: The source imports the finite-present and single-successor account under PPD’s stated assumptions. The existing PPD argument supplies those conditions and proofs. A finite description, an observed outcome, or the word complete does not replace its separate source-sufficiency argument. The causal burden stated here is general enough for a declared stochastic rule as its scope note explains.
F₀: finite interface and frame-internal epistemic acts: Every operative epistemic act and description enters through a frame. That does not deny objective truth or external reality. The constructive Tripp’s Prison account preserves independent comparison and correctable shared knowledge without treating a model as direct access to its ultimate carrier.
Finite resolution and the source-state architecture: The preceding Finite Resolution account identifies complete actuality, maintained organization, and declared interfaces. A complete source account must include what participates or identify relevant coupling across its local boundary. Declaring the system does not create its physical relations. Actual coupling, resources, and constraints remain to be shown.
Typed relations: Grounding, constitution, representation, causal succession, and temporal ordering are different relations. The bridge from one role to another must be supplied. A law can describe a real constraint without becoming an extra agent, and a clock can measure pacing without supplying energy. A successful readout does not alone identify a unique carrier.

The five numbered roles in the theorem and the six entries in the specification do not conflict: the source and its boundary form one explanatory requirement. A physical account may use different variables or combine roles, but it must still show how it supplies what its claim requires.

Formal argument: Causal-Resolution Burden

The definitions and results retain their Appendix A source numbers. Both proofs and the entire scope note follow in source order. Their target is the explanatory burden on a physical account of a real transition; they do not uniquely select one carrier or equation. ^[2]

Definition A.54 (Transition-relevant difference)

A transition-relevant difference is a real asymmetry, relation, gradient, capacity, boundary condition, or constraint in the declared source system such that changing it while holding the remaining declared structure fixed changes the admissible successor set or successor weighting.

Definition A.55 (Causal-resolution specification)

A causal-resolution specification for a declared system is $\mathfrak R = \langle \mathcal{P}_n,B_n,\Delta_n,\Gamma_n,\mathcal{R},\mathcal{P}_{n+1}\rangle,$ where $B_n$ is the system boundary, $\Delta_n$ the transition-relevant difference set, $\Gamma_n$ the rule and coupling structure, and $\mathcal{R}$ the relation selecting or generating the successor.

Theorem A.56 (Causal-Resolution Burden)

For a successor $\mathcal{P}_{n+1}\neq\mathcal{P}_n$ to be explained rather than merely redescribed, a physical account must identify at least:

the declared source system and boundary;
the transition-relevant difference or capacity available in the source;
the constraints or coupling relations that make some successors admissible and others not;
the resolution rule connecting source to successor;
the successor or observable readout by which the account can be tested.

The word cause, the passage of time, or a law written without carrier and source structure cannot substitute for this specification.

Proof.

If no source system is declared, the claim lacks jurisdiction. If no transition-relevant difference or capacity is present, a different successor has no declared physical basis. If no constraints are specified, the theory does not explain why one successor rather than an unrestricted alternative occurs. If no resolution relation is supplied, the account merely places source and successor beside one another. If no testable successor or readout is declared, the proposal cannot be distinguished from rivals. Time-ordering identifies before and after without supplying the physical difference or transition rule. An abstract law states a regularity or constraint, but it isn’t a separate energy source. Therefore each listed role is required for a complete causal-resolution account.

□

Proposition A.57 (Cause and Effect as Source and Successor Roles)

Within a finite-resolution account, cause and effect are role terms for source structure and successor consequence. They need not denote two isolated objects connected by an additional invisible push.

Proof.

The source state already contains the participating objects, relations, capacities, and constraints. The successor is the resolved consequence of that structure. Adding a separate causal substance explains nothing unless it is itself assigned a carrier, ledger, and coupling rule, in which case it becomes another constituent of the source specification rather than causality as such.

□

Corollary A.58 (No Temporal Push)

Temporal succession is necessary for distinguishing source and successor in the representation, but time does not supply the transition-relevant energy, asymmetry, or constraint. A clock reports pacing; it is not the engine of change.

Scope and limits

I draw on $P_0$ , $F_0$ , and the source-state architecture. The additional premises are the Finite Resolution Synthesis, typed relation discipline, and the distinction between ordering, physical capacity, and transition rule.

Every physical account of change owes a declared source, active difference, constraint structure, resolution relation, and testable successor. Causes, laws, forces, fields, gradients, probabilities, clocks, and dynamical equations may remain valid domain languages when their physical roles are declared. The result establishes the burden any implementation must meet. It doesn’t uniquely select deterministic RSI, one force ontology, or one mathematical form.

A stochastic theory can satisfy the burden by declaring a probability law as part of the resolution rule and supplying its carrier, state space, and empirical interpretation. My preference for determinism doesn’t make the theorem a defeat of stochastic mathematics.

To challenge this conclusion, exhibit a physical account that fully explains a real transition while omitting at least one of the five required roles. A physical bridge or domain application needs to explain explicitly how it supplies each of these five roles.

Dynamic Ground: the further explanatory task

The next source passage is an open conjecture, followed by its boundary note and complete statement of what remains open. The conjecture does not have the status of a proved theorem. The actuality of change, the explanation of particular changes, and the universal derivation of dynamics are distinguishable claims. ^[2][4]

Open Conjecture A.59 (Dynamic Ground Conjecture)

If total actuality is self-grounding and actual succession occurs, then the capacity for differentiated resolution is not an external addition to the ground but belongs to the realized structure of total actuality. A complete physical theory would derive or minimally characterize that capacity without appealing to absolute nonbeing, a temporally prior exterior, a completed regress, or an unexplained law-agent.

Boundary Note A.60 (Why this remains open)

The preceding defeaters show what cannot supply the ground and the Causal-Resolution Burden identifies what any account of change owes. They do not yet derive the unique physical origin of all transition-relevant differentiation, the exact carrier of every law, or the final mathematical form of resolution. The observed world plainly contains real differences and lawful change; the remaining question is how deeply that structure follows from self-grounding finite actuality rather than being accepted as a brute feature of this world.

What remains open

The Minimum Occurrence Closure, the closures in Sections A.7.1–A.8.3, the Finite Resolution Synthesis, and the Causal-Resolution Burden remove external-null, regress, and first-state substitutes while requiring real transition structure. I haven’t derived this universe’s specific physical differentiation and resolution law from self-grounding actuality.

I haven’t established that every possible self-grounding actuality must be dynamic.

To complete the account of this actuality, I would need to derive or independently establish a minimal dynamic structure that explains differentiated lawful succession without importing an exterior source or hiding the burden in a primitive word. That derivation remains open; the preceding results do not supply a completed theorem for it.

Questions about causal resolution

What makes a difference relevant rather than merely noticeable?

A difference is relevant to the declared transition when an admissible variation changes which successors are possible or how they are weighted. Merely noticing a distinction does not establish that role. My example of a container’s color makes the point: the color may be irrelevant to the reaction being explained, while another property of that container may matter. The account must identify the relation through which the particular difference enters the outcome. This is a comparison inside a declared model and domain, not a claim that every contrast moves every system. Relevance can also concern weighting rather than the outright exclusion of an outcome.

Can I vary one condition while holding all the others fixed?

Only where the comparison is meaningful within the declared structure. The definition does not permit an impossible intervention that changes an interdependent quantity while freezing every condition that must change with it. The source explicitly retains that restriction. A useful comparison identifies what is varied, what remains fixed, and why those combinations are admissible. Sometimes that calls for changing a coherent group of conditions rather than one isolated symbol. A declaration makes the comparison inspectable; it does not create physical independence. A mistaken model can still assign causal relevance incorrectly, so the physical interpretation and evidence remain part of the work.

Is the Causal-Resolution Burden just another definition of cause?

The burden asks an account to identify roles that the word cause can leave hidden. Which system changed? What available difference or capacity mattered? What constrained the possibilities? What relation connects the source to the successor? How can the result be distinguished by an observable readout? The proof explains what is missing when one of those roles is omitted. It is a requirement on a claimed complete physical explanation, not a completed mechanism supplied by vocabulary. A limited predictive or effective model can do valuable work without answering every deeper question. Its success has to be described at the scope it actually earns.

If a source makes a successor possible, does it contain that successor as a stored event?

No. A condition constraining what follows and a second event already occurring are different things. A gradient, capacity, relation, or rule belongs to the source account because it bears on continuation. That does not place a completed future alongside the present. The resolution notation connects source and successor; it does not supply a temporal warehouse or an extra push between them. Records and predictions are also real source activities without making their represented events co-actual. PPD’s deterministic conclusion has its own complete-state, full-law, source-sufficiency, and continuing-domain conditions. The more general causal burden does not establish uniqueness merely by naming a source.

Does this argument exclude every stochastic physical account?

No. My deterministic account and the general burden on causal explanation have different scopes. The complete scope note explicitly permits a stochastic theory to declare its state space, probability law, carrier, and empirical interpretation as part of its resolution account. A probability law is not a lawless exception, and a change of weighting can be causally relevant without removing an outcome from the possible set. That distinction does not withdraw PPD’s separate argument. It prevents the Causal-Resolution Burden from being misrepresented as a new proof against stochastic mathematics. The appropriate dispute must address the conditions of the particular result being challenged.

Could an absolutely unchanging source simply start changing later?

Not while it remains a true fixed point under the same complete and unchanged rule. If the rule returns that same complete state, repeating its application does not supply a departure. A proposed departure therefore needs an omitted capacity, another participating condition, a different rule, or an unexplained exception. A source that merely looks quiet is different: its internal conditions or real dispositions may not have been described. A real external trigger is also possible for a subsystem, but then the subsystem was not total actuality. This argument tests a proposed explanation of the changing world. It is not a proof that every conceivable self-grounding actuality must change.

Does a finite interface guarantee active exchange or eventual identity loss?

Neither follows from finitude alone. An interface identifies where and how a distinguishable organization can participate through available relations. Actual coupling must still be shown. Even with coupling, a difference may lie below an activation threshold or a capacity may lack the conditions needed to manifest. The source uses constraint-relevant mismatch in the active sense: under the declared conditions and rule, the present configuration cannot continue unchanged. Reconfiguration can then preserve the identity or carry it beyond its continuity criterion. The ordinary activity maintaining an organism and the loss of that organism’s identity are not the same conclusion.

Does difference by itself explain a direction of time or a universal physical law?

No. Difference supplies distinguishable roles, not a finished law of succession. A direction of change requires the relevant asymmetry, its relations, and the rule under which it matters. A gradient alone does not derive a universal arrow of time. The displayed sequence from difference through relation and constraint to closure or reconfiguration organizes explanatory roles; it is not four newly proposed physical stages or one universal equation. The same discipline applies to the finite-closure example: selection before a smooth readout is a declared model order, not automatically a chronology of every physical event.

What remains to be established by the Dynamic Ground account?

Three questions must remain distinct. We have evidence that this world is differentiated and changing. We can investigate the mechanisms of particular transitions. The deeper task is to derive or minimally characterize the dynamic capacity and lawful transition structure of this actuality without importing an exterior source or hiding the burden in a primitive word. I have not established that every logically possible self-grounding actuality must be dynamic, nor derived this world’s exact carriers and laws from occurrence alone. That is why the formal passage remains an open conjecture with a boundary note. It does not restore the already rejected explanations; their premises and conclusions must be challenged on their own terms.

Where do reasons, choices, and values belong in this causal account?

They belong to the real activities and organization of the person participating in the transition. Remembering, interpreting, reconsidering, and planning can change what a person attends to and how that person responds. Being caused does not make those activities absent or powerless. Their efficacy still depends on actual knowledge, bodily conditions, time, resources, relationships, and the other circumstances involved. Nor does explaining their causal role tell us that every preference is good or every judgment is justified. The source explicitly requires connecting arguments when moving from physical organization to experience, significance, and conduct. The value and responsibility arguments retain their own work; physics alone does not choose an ethical standard.

Sources and further reading

The explanation retains Chapter 11’s order, examples, historical distinctions, and stated limits. The historical works below are the sources cited in that discussion, not claims that their authors already held Existential Ground. EL, FMFG, and EG supply the connected philosophical arguments. RSI and the finite-closure model retain the physical and model-specific burdens for which they are cited.

Matthew Tripp Zejda, Existential Ground. Chapter 11, “The Real Question Is Why Anything Happens,” pp.174–189, including its three comparison tables and Figures 11.1–11.2. Chapter 11 contents entry; book and reading access.
Existential Ground, Appendix A. §A.9.2, “Causal-Resolution Burden,” Definitions A.54–A.55, Theorem A.56, Proposition A.57, Corollary A.58, both proofs and the full scope note; §A.9.3, “Dynamic Ground as an open frontier,” Open Conjecture A.59, Boundary Note A.60, and the complete “What Remains Open” passage, pp.428–431. Imported premise families are identified in §A.3. Appendix A contents entry.
Matthew Tripp Zejda, Existential Logicism: A Logic-Based Engine for Navigating Reality. Chapter 5 and Formal Argument 5.12. The current finite-present definition, complete-state and full-law conditions, contrastive source sufficiency, and continuing-domain conditions supply PPD’s separate deterministic architecture. PPD and its complete formal argument; Engine and reading access.
Existential Ground, Chapters 10, 12–13, 16–18 and Appendix C. Finite identity supplies the preceding interface account. Energy and physical implementation retain their own burdens; agency, value, and responsibility require their connecting arguments. Appendix C’s open-work ledger identifies the Dynamic Ground question and its completion burden. Finite Resolution; Chapter 12 contents entry; Appendix C contents entry. EL’s Contingency Guillotine and Deterministic Moral Forces, and Finite Mind, Finite God retain their distinct value, personhood, access, and fairness arguments.
Aristotle. 1999. Physics. Translated by Robin Waterfield. Oxford University Press. Oxford.
Gottfried Wilhelm Leibniz. 1989. Philosophical essays. Edited by Roger Ariew; Daniel Garber. Translated by Roger Ariew; Daniel Garber. Hackett Publishing Company. Indianapolis. Includes “Principles of Nature and Grace, Based on Reason” (1714), pp. 206–213, and the “Monadology” (1714), pp. 213–225.
David Hume. 2007. An enquiry concerning human understanding. Edited by Peter Millican. Oxford University Press. Oxford. Originally published 1748.
Immanuel Kant. 1998. Critique of pure reason. Edited by Paul Guyer; Allen W. Wood. Translated by Paul Guyer; Allen W. Wood. Cambridge University Press. Cambridge. Originally published 1781/1787.
Alfred North Whitehead. 1978. Process and reality: An essay in cosmology. Edited by David Ray Griffin; Donald W. Sherburne. Free Press. New York. Originally published 1929.
Nancy Cartwright. 1989. Nature’s capacities and their measurement. Clarendon Press. Oxford.
George Molnar. 2003. Powers: A study in metaphysics. Edited by Stephen Mumford. Clarendon Press. Oxford.
Stephen Mumford; Rani Lill Anjum. 2011. Getting causes from powers. Oxford University Press. Oxford. DOI record.
James Woodward. 2003. Making things happen: A theory of causal explanation. Oxford University Press. New York. DOI record.
Matthew Tripp Zejda. 2026. Resolution state interface (RSI): Introduction to universal relativity by matthew tripp zejda. Zenodo. DOI record. Version 5.
Matthew Tripp Zejda. 2026. The finite closure band theorem and the continuum pi ceiling. Unpublished theorem manuscript; included in the finite-closure treatment of the Resolution State Interface.