Addendum 85 - Local Agency and Enclosing Dependence

Boundaries Within Boundaries - How Objects Act Within the Relations That Sustain Them

Abstract

An object can act locally without supplying all the conditions under which its action becomes possible, meaningful, or sustainable. Recursively Realized Distinguishability (R²D) provides a formal basis for this distinction. At a count boundary, readable macrostates classify compatible joint realizations of subordinate peers. Those realizations participate in an enclosing relation whose state meaning is not exhausted by any single subordinate mechanism. Resolving how a local transition occurs therefore does not, by itself, establish that the local mechanism is causally sufficient for the enclosing organization.

This addendum distinguishes local realization, enclosing dependence, persistence, and responsibility. The child caring for a bunny supplies an accessible example: the child’s care is consequential, while the family, community, material economy, and ecological relations sustain conditions the child does not independently provide. Biological objects present related questions at cell, tissue, and organism boundaries. Markets, institutions, and societies offer candidate extensions, provided their states, compatible realizations, and sustaining relations are explicitly defined.

The image of boundaries within boundaries describes recursive dependence, rather than a universal hierarchy of command or a strictly concentric spatial arrangement. Enclosing conditions can sustain, limit, or undermine local activity. Completed local activity participates in enclosing realization without supplying an external agency acting on the enclosing boundary. A second central claim concerns the directional loss of realization-side readability toward larger enclosing boundaries. The relation can remain realized while the local observer can no longer jointly read the enclosing recurrence through which it is sustained. Applied to care and distrust, this distinguishes a locally readable act of care from the sustaining relation of a larger boundary. Local participants can help realize that relation without possessing a complete read of what they are realizing. A third central claim is boundary before representation: rulers, measured objects, normalized probabilities, and narratives are boundary-defined reads, not primitive definitions of enclosing relations. Together, these claims distinguish local agency, enclosing realization, and the projections through which an enclosing world becomes locally intelligible.

1. A Local Act and Its Enclosing Conditions

A child feeds a bunny. The child supplies water, notices illness, and learns how to handle the animal safely. These actions change the bunny’s circumstances. At the boundary of daily care, the child is a responsible agent.

The child nevertheless does not independently supply the conditions supporting that care. A family provides food, shelter, transport, and veterinary attention. The family participates in a community that supports work, education, water systems, and health care. Those relations connect to wider material and institutional arrangements. Agriculture and other living processes depend on ecological conditions and solar input.

The example establishes a distinction between two questions:

1. Who performs the local act?
2. What sustains the conditions under which that act can occur?

The answer to the first question does not automatically answer the second. The child’s contribution remains real when its dependencies are recognized. What changes is the scope of the causal claim.

This distinction applies more broadly to scientific objects. A cell can maintain a local state through molecular transitions while depending on chemical and physical relations that are not supplied by that cell alone. A neuron can undergo a local transition while participating in physiological organization extending beyond its own boundary. An institution can perform a defined task while relying on people, resources, and other institutions.

In each case, an account of local realization must be distinguished from an account of the conditions sustaining the object and its activity.

2. Boundary-Relative Statehood

Let \(B_n\) define a count domain. Its readable macrostates belong to \(\mathcal M_n\). Let \(\mathfrak M_n\) contain the complete compatible joint realizations of its immediately subordinate peers. The classification map is

\[ \pi_n:\mathfrak M_n\longrightarrow\mathcal M_n. \]

The multiplicity of macrostate \(i\) is

\[ W_{n,i}=\left|\pi_n^{-1}(i)\right|. \]

The relation assigns enclosing state meaning to compatible subordinate realizations. A transition within one subordinate peer is not automatically a complete joint realization, and it does not automatically specify the enclosing macrostate.

The local mechanism and the enclosing state classification therefore describe different parts of the architecture. A mechanistic account may specify a subordinate transition with great precision while leaving the enclosing classification, compatibility conditions, and supplied boundary conditions as inputs.

Moving to another count boundary can change which distinctions have macrostate meaning. The same physical activity can then enter a different state relation. A protein transition may be readable locally as a structural change and participate at an enclosing boundary in a chemical, electrical, or mechanical occurrence. That participation requires the appropriate compatibility relation; it cannot be inferred from the protein’s structure alone.

Boundary-relative statehood thus supports the following inference:

\[ \boxed{ \text{A complete local mechanism need not be a complete account of enclosing statehood.} } \]

It does not establish that every mechanism is inadequate for every stated task. Sufficiency must be assessed relative to the boundary and target being explained.

3. Local Dynamical Sufficiency and Enclosing Causal Sufficiency

A local dynamical description can be sufficient to predict a specified evolution once initial conditions, boundary conditions, and parameters are supplied. This is a meaningful scientific achievement.

A stronger claim would assert that the same description establishes the enclosing relation, including the conditions required to define and sustain the local system. That claim requires an additional argument.

Schematically,

\[ \text{prediction given enclosing conditions} \not\Rightarrow \text{independent determination of enclosing conditions}. \]

The distinction applies equally to any proposed theory. A molecular model, a thermodynamic model, and an R²D mapping must each identify the inputs on which its sufficiency depends. Neither microscopic detail nor a claim of higher-level organization supplies global causal priority by itself.

In the bunny example, the child’s actions can adequately explain whether the bowl was filled that morning. They do not adequately explain how water remains available, how the child remains healthy enough to provide care, or how the family obtains the resources supporting the household.

The appropriate account expands when the explanatory target expands. An omitted dependency may be safely treated as fixed for a short local calculation. It becomes part of the problem when the question concerns persistence, resource supply, or a proposed change in local participation.

4. Recursive Dependence Has Two Directions

R²D distinguishes the subordinate realizations through which an enclosing occurrence is constituted from the enclosing conditions that organize local distinguishability and compatibility.

These are different directions of explanation:

• Toward subordinate boundaries: which realizations constitute the readable state or occurrence?
• Toward enclosing boundaries: which conditions organize the domain in which those realizations participate?

The upward relation concerns compatible realizations and their count meaning. The downward relation concerns constraint and the distinctions available within the local domain. The two directions cannot be replaced by a single assumption that all causal sufficiency lies at one scale.

For muscle, protein switching participates in an enclosing chemical and mechanical relation. ATP chemistry, metabolic support, and the muscle-scale organization belong to a recursive account. The protein transition is necessary to the specified realization without independently defining all of its enclosing conditions.

The child similarly realizes an act of care within conditions supplied through larger relations. Asking for help, reporting illness, or changing a daily routine are actions readable at the child’s boundary. They participate in larger realization without giving the child the enclosing boundary’s agency or a read of its complete occurrence meaning.

This is why boundaries within boundaries should not be interpreted as a one-way hierarchy of command. A larger boundary need not contain a decision-maker issuing instructions. Its constraint may be chemical, geometrical, ecological, or institutional. Local realizations acquire enclosing count meaning through recursive replacement. Consequence at the enclosing boundary does not establish that the local actor can intervene there as though its state architecture were a locally readable object.

5. Sustaining an Object Is Different From Producing One Transition

An object may undergo a transition under temporarily supplied conditions without retaining the organization required for repeated activity. Persistence introduces a further explanatory demand.

For this addendum, sustaining conditions means the conditions required for the specified object to continue realizing the state distinctions and transitions by which it is identified. This is an operational definition, not an additional primitive R²D variable.

The definition is relative to a target and a duration. A condition needed for one transition may differ from a condition needed for a day, a generation, or indefinite maintenance. A system may also possess alternative sustaining arrangements. Dependence on a required function does not prove dependence on one unique provider of that function.

For a living cell, maintaining a specified functional state involves continued access to compatible chemical relations and retention of relevant distinctions. For an organism, the account expands to physiological organization and environmental exchange. For an institution, it may include participation, resources, rules, and the ability to reproduce its defined operations.

Persistence therefore requires examining how the supporting relations are maintained, renewed, or replaced. An analysis that treats all such conditions as permanently available has not yet explained that availability.

6. Boundaries Are Not All Spatial Containers

The phrase “spheres within spheres” offers an intuitive picture of enclosing dependence. Its formal application requires care.

A count boundary is not necessarily a wall. It defines a domain of distinguishability and compatible realization. Membership, function, exchange, or another specified relation may define a relevant domain even when its participants are geographically dispersed.

Nor do all familiar objects belong to one strictly nested sequence. A family participates in multiple communities. A market crosses political jurisdictions. An ecosystem crosses property boundaries. A neuron belongs to several functional relations that need not share the same classification.

Such overlap does not automatically supply a valid R²D hierarchy. A proposed recursive mapping must specify which boundaries are being related and how compatible subordinate realizations acquire enclosing count meaning. Some dependencies may be lateral couplings between peers rather than relations between adjacent recursive levels.

Consequently, physical size, administrative rank, and recursive position must not be conflated. A geographically larger organization is not thereby a formally enclosing count boundary for every smaller organization within its territory.

The general thesis is recursive dependence under specified relations. A single concentric drawing can illustrate an example without defining the full architecture.

7. Candidate Objects and Their Mapping Burdens

Candidate object	Illustrative readable distinction	Relations requiring explicit treatment
Cell	A defined metabolic or functional state	Compatible molecular realizations, membrane relations, and chemical supply
Organism	A specified physiological state	Coordination among subordinate systems and environmental exchange
Ecosystem	A specified ecological configuration	Organism relations, material cycles, and environmental conditions
Neuron	A specified electrical or biochemical state	Local realizations, physiological support, and network participation
Market	A defined exchange or allocation state	Participants, admissible transactions, resources, and institutional conditions
Institution	A defined operational state	Roles, compatible actions, resources, and rules
Society	A specified collective organization	Explicit membership and state criteria, interacting institutions, and material support
Consciousness	A target distinction still to be operationally specified	A defensible boundary, readable states, and their realization relation

These examples are proposals for investigation. Naming an object does not define its state map. Familiarity with cells, markets, or societies does not establish that the same physical equations apply to all of them.

Consciousness presents a particularly demanding case because the relevant boundary and readable distinctions must be established before an R²D mapping can be evaluated. The architecture invites the question without supplying a theory of conscious experience by analogy.

8. The Asymmetry of Visibility Is Directional

R²D makes a stronger claim than the observation that large organizations are complicated. Toward larger enclosing boundaries, realization-side readability diminishes. A distinction can remain readable while the enclosing recurrence in which that distinction participates becomes inaccessible from the observing boundary.

Part III, Sections 1.10–1.13, identifies this as the enclosing-side readability horizon. Section 1.19 states that no finite observing boundary jointly reads the entire recursive hierarchy. These are structural claims about boundary-relative readability, not merely claims about inadequate information or instruments.

The crucial distinction is

\[ \text{enclosing realization unreadable at }B_n \not\Rightarrow \text{enclosing realization absent}. \]

The larger relation can continue sustaining local distinctions even when its realization cannot be read locally. What survives the read is not a complete account of the process that sustains it.

The relevant scale is recursive position relative to an observing boundary. This is not a statement that every larger object becomes less visible in every respect. It specifies which side of the recursive relation leaves the read: the enclosing realization side. A large boundary may be conspicuous precisely while the recurrence sustaining it is not jointly accessible.

8.1 Care Has a Local Definition

The child reads care through a filled bowl, gentle handling, attention, and proximity. At this boundary, those acts are distinguishable and their consequences accessible. A parent leaving for work can therefore appear to withdraw care even while that work participates in sustaining the household in which the child and bunny live.

Care is defined through distinctions readable at the child’s boundary. The enclosing relation need not express its sustaining consequence through those same distinctions. The child reads the departure without reading the complete realization through which the family is sustained.

The Sun makes the difference extreme. It does not feed this bunny, answer this child’s request, or adjust its activity to their comfort. It appears indifferent when assessed through the local distinctions by which the child recognizes care. Yet solar input participates in sustaining the living relations within which the child can feed the bunny.

The Sun’s apparent coldness in this comparison is relational, not a claim about its physical temperature. The sustaining relation does not have the form of the locally readable act. Lack of that local form cannot establish lack of sustaining consequence. Nor does it establish an absence of intention: daily human intentions and a solar-earthly relation unfolding across billions of years do not share an automatically valid read. What is available here is sustained life, not a determination of the intention of the encompassing relation.

8.2 Larger Institutions Can Appear Cold

An industry giant can appear uncaring to a worker because its activity is not organized around the worker’s immediate sphere of care. A large government concerned with energy, security, and the conditions of exchange can appear similarly remote. From the child’s boundary, neither is visibly sustaining the bunny.

The R²D interpretation asks whether a local definition of care is being used as an exhaustive measure of an enclosing sustaining relation. The immediate burden is readable; the larger realization is not jointly readable from the same position. Apparent coldness can arise from that mismatch.

This does not establish that any particular corporation or government is sustaining its participants adequately. That must be examined through the consequences that become readable. The point is that local absence of a familiar caring act does not itself supply a complete read of the larger relation.

8.3 Participation Exceeds Readability

A local participant can contribute to an enclosing occurrence without jointly reading that occurrence’s full realization. Recursive replacement gives completed local activity a new count meaning at the enclosing boundary. The local view does not thereby acquire the enclosing view.

Thus,

\[ \boxed{ \text{Participation in enclosing realization does not supply a complete read of that realization.} } \]

As participation extends toward larger recursive relations, more of its enclosing realization lies beyond local joint readability. We can help realize a system while knowing progressively less of the encompassing relation we are realizing. This is not the disappearance of causation. It is a limit on its local read.

8.4 Sustaining Is Known Through Sustained Realization

An individual cannot establish the complete sustaining adequacy of a larger boundary from a local picture of how it ought to work. Sustaining becomes consequential through whether relevant distinctions and occurrences continue to be realized.

The question must therefore be indexed: what is sustained, at which boundary, and over which occurrences? One locally sustained distinction is evidence of that consequence, not a complete certification of every enclosing relation. Conversely, a local failure supplies evidence of failure in that domain without revealing the whole enclosing process.

We know sustaining through sustained realization and failure through the failure of specified relations to remain realized. Expectations about design do not substitute for this evidence. The judgment remains boundary-relative; there is no observer outside the hierarchy who certifies the whole system at once.

9. Boundary Before Representation: Area Before Radius Beyond Physics

9.1 Definitional Precedence

Area Before Radius expresses the general ordering as

\[ B_n\longrightarrow x_{n-1}, \]

and, under a spatial read,

\[ \mathcal A_n\longrightarrow r_{n-1}. \]

These arrows express definitional precedence. The enclosing boundary defines the subordinate coordinate through which the relation can be read. A ruler established within a local domain does not independently define the enclosing state architecture.

This extends the argument of the present addendum. Enclosing dependence concerns the conditions within which local actions become possible. Boundary before representation concerns the conditions within which local explanations become meaningful. Both preserve the same ordering: the enclosing relation defines the domain in which subordinate realization acquires count meaning.

9.2 The Representation Belongs to the World It Represents

A person’s head belongs to the world it attempts to comprehend. The brain, its instruments, and its representations participate within enclosing relations. A representation of the world can become readable within that domain without placing the observer outside the world.

Physical enclosure alone does not prohibit a small representation of a large relation. A map can preserve selected landscape relations. The issue is whether the representation’s success establishes that its local objects and coordinates primitively define the enclosing world.

In this extension, rulers, measured objects, and narratives are represented and classified within a humanly readable domain. This does not mean that their sustaining relations are created by the mind. Nor does the physical boundary of the skull alone specify the relevant cognitive count domain. A detailed cognitive mapping must identify the state distinctions and compatible realizations in question.

The structural implication can nevertheless be stated:

\[ \text{locally readable representation of an enclosing relation} \not\Rightarrow \text{primitive definition of that relation}. \]

A successful representation establishes what its mapping preserves under stated conditions. Extending it across boundaries requires demonstrating the preservation of those conditions and state meanings.

9.3 Protagonists and Fables Are Local Reads

An enclosing relation can be represented through identifiable actors, motives, and interactions. A historical transformation becomes a leader’s ambition. An institution becomes a founder’s intention. A society becomes the character of its rulers.

A fable, as used here, is an explanatory narrative that gives an enclosing relation a locally recognizable protagonist or personality and treats that character as sufficient to define the relation.

The narrative can describe real actions. Its error occurs when a useful projection is promoted into an enclosing causal architecture. The protagonist’s motives explain aspects of local realization without independently defining the domain within which those motives become consequential.

R²D reverses this ordering. The enclosing boundary defines how compatible local realizations acquire state meaning. Applied to social explanation, protagonists realize movements and institutions within that architecture; their narrative identities do not independently create it.

History and anthropology therefore require more than assigning goodness or badness to human realizers. An enclosing account must identify the relations through which their activity acquires larger meaning. The local story remains a possible read of the relation, not its primitive source.

9.4 Morality Does Not Define an Enclosing Boundary

Moral distinctions belong to domains in which particular actions, obligations, and consequences are classified. They do not automatically carry unchanged into an enclosing domain.

Calling nature kind or cruel assigns the sustaining relation a personality defined within our sphere. Calling it amoral still positions it within that local moral classification. The enclosing questions are whether the relation is realized, whether it persists, and which distinctions or occurrences it sustains.

Nature “red in tooth and claw” supplies locally readable encounters. The encompassing relation sustaining life is not defined by kindness or cruelty. Likewise, persistence does not establish goodness, and failure does not establish evil.

This is a distinction between explanatory predicates. Moral judgments can remain consequential within their defined domains. They do not thereby become primitive definitions of the boundaries enclosing those domains.

9.5 Normalization Does Not Establish Boundary Invariance

Normalization preserves a selected numerical relation while suppressing others. For example,

\[ \frac{5}{10}=\frac{500}{1000}=\frac12. \]

The normalized equality preserves proportion while removing the absolute count from the resulting value. It does not specify the counted objects, the state classification, compatibility, or recurrence.

More generally, suppose positive weights \(w_n(i)\) in a specified finite domain are normalized as

\[ p_n(i)=\frac{w_n(i)}{\sum_j w_n(j)}. \]

This is a generic normalization example, not a replacement definition of primitive R²D possibility. Its interpretation as probability requires the appropriate measure or occupancy rule.

Two boundaries can produce the value \(0.5\) without defining the same physical event or possibility structure. Equality of the normalized coordinate does not establish equality of the domains that generated it. R²D possibility, multiplicity, and realized occupancy must remain distinguished.

A normalized probability at a particle boundary and an identically valued probability in an enclosing domain therefore require an explicit mapping before physical equivalence can be asserted. The same applies to differently scaled rulers expressed in a common dimensionless interval.

The unsupported inference is

\[ \text{equal normalized reads} \Longrightarrow \text{identical primitive boundary relations}. \]

Normalization does not prove that the distinctions removed from its output were irrelevant to the enclosing architecture.

9.6 A Common Diagnostic for Extensions Beyond Physics

For a proposed account of an ecosystem, market, institution, society, or conscious experience, ask:

1. Which boundary defines the object and its readable states?
2. Which compatible subordinate realizations acquire enclosing count meaning?
3. Which rulers, classifications, and narratives belong to the observer’s domain?
4. What does the proposed projection preserve, and what leaves the read?
5. Has a normalized coordinate or a protagonist’s motive been promoted into a primitive definition of the enclosing relation?

The common requirement is

\[ \boxed{ \text{Local intelligibility does not establish enclosing causal sufficiency.} } \]

Specific social and cognitive mappings remain to be supplied. The ordering they must respect is already explicit: boundary before representation, or area before radius.

10. Sustaining Relations and Local Judgments

An enclosing relation can sustain specified local activities while other local relations cease to be sustained. Participants can judge the consequences within domains where harm, obligation, and legitimacy have defined meaning. Those judgments do not assign a moral character to the entire enclosing boundary.

Recognizing dependence therefore does not establish that an existing arrangement should be preserved unchanged. It establishes a requirement for evaluating change through readable consequences, while acknowledging that the complete enclosing realization is not available to the local observer. Questions about replacement are questions to investigate, not assurances that a local design can specify the whole sustaining relation.

The questions are concrete:

1. Which local states and transitions depend on the arrangement?
2. Which of its constraints enable those activities, and which undermine them?
3. What would be lost, preserved, or newly possible under the proposed change?
4. What compatible alternative could sustain the required functions?
5. Which consequences of local action become readable, and at which boundaries?

These questions guide participation and correction within a limited read. They do not provide a complete engineering specification for the enclosing system. Their answers must be revised as the consequences of action become readable. Ethical judgments also require stated values and attention to whose lives are sustained or undermined.

11. Responsibility as a Boundary-Relative Practice

Responsibility belongs to the essay’s ethical interpretation, rather than to the primitive count definitions. The R²D distinction helps locate it.

A child can be responsible for filling the bunny’s bowl without being responsible for managing agriculture. A family can be responsible for care without being able to provide a complete health system. A community can act on shared conditions while requiring institutions capable of addressing relations beyond its reach.

Appropriate responsibility depends on what can be understood, influenced, and maintained at the relevant boundary. Awareness of dependence can expand that practice: local care can include maintaining the relationships that make continued care possible.

This expansion need not demand individual control over the entire hierarchy. It can instead require cooperation and a distribution of tasks across domains where action has meaningful effect. Recognizing a limit of local sufficiency is a reason to construct compatible relations with others.

Ecosystems and climate make the limitation especially important. We participate in their realization and can alter consequential local relations, but we cannot engineer their complete sustaining organization as though it were a fully readable local mechanism. Our power to act is local. Participation in an enclosing realization does not confer the power to intervene at that boundary as though its objects and distinctions belonged to our own domain. Local intentions do not establish what the activity is realizing at the larger boundary.

Responsibility therefore includes observing what remains sustained, recognizing what fails, and correcting action through the consequences that can be read. It cannot rest on a claim to know every enclosing consequence in advance.

The child still feeds the bunny. The larger account explains why that task belongs to a supported network of care without making the child a complete designer of the network.

12. Relation to Boundary-Projection Paradoxes

Addendum 84 examines the preservation of a count, coordinate, or physical read after its defining distinction changes. The present addendum examines a related inference: a locally meaningful action is promoted into a complete explanation of its sustaining conditions.

The projection has the form

\[ \text{local contribution} \longrightarrow \text{assumed enclosing sufficiency}. \]

That inference requires demonstration. An observed act identifies a realization; it does not necessarily identify every condition defining its domain.

The relation to Addendum 84 is therefore methodological. Both ask whether a claim valid at a specified boundary has been extended beyond its established scope. The adult saying “I alone built this” and the calculation holding an unsupported state architecture fixed are different kinds of argument, but each can omit relations required for its conclusion.

13. Status and Development

The formal basis has three connected parts. Boundary-relative statehood assigns enclosing macrostate meaning to compatible subordinate realizations through a specified classification. Directional readability distinguishes the surviving local distinction from enclosing recurrence that is no longer jointly accessible. Boundary precedence places the local coordinate after the enclosing state architecture. Local dynamical prediction, enclosing causal sufficiency, and a complete read of enclosing realization are different claims. The account of representations applies that ordering to humanly readable rulers, objects, and narratives.

The application to living persistence requires specifying the relevant object, duration, transitions, and sustaining conditions. The directional loss of enclosing realization-side readability belongs to the canon. Its application to particular social institutions and experiences of care requires their boundaries and count mappings to be specified. A detailed cognitive realization of these representations remains an open mapping. Ethical responsibility requires additional normative premises; morality is not introduced as a primitive predicate of enclosing sustaining relations.

A useful next study would choose one system in which local activity and an enclosing dependency can be measured together. It would define the readable state architecture, vary a sustaining condition, and determine whether local activity persists, changes its enclosing meaning, or ceases. The comparison would test a stated sufficiency claim rather than assume an outcome from the vocabulary of boundaries.

14. Conclusion

Objects act within relations that they need not independently sustain. Their local activity can be consequential while their continued existence depends on conditions extending beyond their own boundary.

R²D makes the distinction explicit. A local realization participates in a boundary-defined state relation. Explaining its mechanism does not automatically explain the classification, compatibility, and supporting conditions through which it acquires enclosing meaning.

The first central statement is

\[ \boxed{ \text{Local agency does not, by itself, establish sufficiency for its enclosing conditions.} } \]

The child and bunny provide an accessible expression of this principle. The child performs the act of care. A larger network sustains the conditions under which that care continues. Recognizing those conditions neither erases the child’s contribution nor guarantees the adequacy of the network. It allows both to be evaluated within a fuller account.

Boundaries within boundaries describe how local life participates in larger relations while remaining unable to jointly read the entire hierarchy. The larger relation can appear cold because our readable definition of care belongs to our own boundary. Recognizing this limit allows participation and responsibility without the assumption of complete enclosing knowledge. Sustaining is ultimately encountered through what continues to be sustained. The second central statement concerns explanation: a local ruler, normalized value, or narrative can provide a useful read without defining the enclosing relation. Our objects and protagonists acquire meaning within boundary-defined architecture. Area precedes radius; the enclosing world is not defined by the representation that fits within our own.

Sources and Companion Texts

• R²D Canon, Part I: boundary-relative macrostates, compatible joint realizations, multiplicity, and recursive replacement.

• R²D Canon, Part III, Sections 1.10–1.13, 1.19, and 1.22: directional readability horizons, the limits of a finite observing boundary, and continued realization without joint readability. Reviewed version: R2D Part III v2 background scale-frame targeted edit FINAL.docx.

• R²D Canon, Part II: thermodynamic organization, biological coupling, and the distinction between local protein realization and enclosing function.

• Ellsworth, J. A., and Baker, J. E. Area Before Radius: Boundary-Relative Objecthood and Unification Before Units: boundary precedence, distinct scientific rulers, and proposed extensions beyond conventional physics.

• Addendum 84, Paradox as Boundary Projection: scope and validity of boundary-relative physical reads.

• The Child and the Bunny: Responsibility in a World of Boundaries Within Boundaries: companion public essay.

• Higher Education: Area Before Radius: companion application distinguishing local narratives from enclosing explanation.

• The World Outside the Head: Enclosure, Projection, and the Normalization of Possibility: companion essay on representational precedence and normalized reads.