Wanhong Huang

An account of a co-experience is composed by one participant in a relation and used by a third party who took no part in it. Earlier volumes in this series established that the operative force of such an instrument is separable from the account it contains, is exchanged, and has no description in property law. This volume asks what a political economy of that object looks like: what circulates, on what terms, and what accumulates to whom. It argues that accounts drawn from singular relations admit no comparison from their content, so that comparability is supplied by the standing of the party who issued them; that a party whose standing serves in this office stands to the accounts compared as a measure stands to what is measured, so that the co-experiences in which that party participated fall outside the set the operation compares; and that the structure so described is Marx's analysis of the general equivalent, whose extension beyond the commodity has been made by others and whose application to a party who measures by issuing accounts has not. The volume then examines what accumulates. A standing grows by being exercised and is not diminished by exercise; it admits no transfer, so a concentration of standings admits no correction by transfer and acquisition runs solely through positions in institutional hierarchies. The vocabulary of capital applies in respect of accumulation, return, and reproduction and fails at alienation; the vocabulary of financialisation applies in respect of prospective valuation and fails at the assignable claim. On circulation the volume finds a practice conducted in three exchange relations of which it names one, whose content degrades under unverifiability by two compounding mechanisms, and which is market-inalienable in fact while unprohibited in law. Two findings run against the position of the series: the conditions of issuance are reproduced by the asymmetry that made the practice worth examining, and the instruments proposed to improve it carry a contraction of it as their cost. The volume argues that these pose a question the series has not answered, namely whether its aim is the reform of the practice or its reduction, and that no further work on remedies should proceed before the question is settled. The volume proceeds without prices, units, or series, and states the methods that operate without them.

Institutions that select people ask others to vouch for them. This paper asks what circulates when they do. Classical political economy studies the circulation of goods, and the economics of collateral-free lending the circulation of skill where no assessment reaches; what a reference circulates is neither. It is co-experience: what a relation generated between two parties, available only from the positions those parties occupied. Co-experience so understood is heterogeneous, and heterogeneous things do not circulate directly. A generalised order of circulation therefore requires a general equivalent, one term excluded from the set it measures and installed as the measure of the rest. The paper's central claim is that this position is occupied by the standing of the recommender, and that occupying it is what alienation consists in here: the recommender ceases to be a party to the relation whose product is reported and becomes the measure by which such products are made comparable. What then circulates is their standing rather than their observation, and the relational labour that produced the standing becomes invisible in the same movement that makes the name liquid. The derivation is taken from the critique of political economy, and the paper states what does not transpose, since co-experience embodies no labour time and is not alienable by its producer in the way a product is. The alienated standing takes two forms. As a general equivalent it measures, circulates, and is indifferent to what it purchases; as an underwriting it binds the recommender's future to conduct they will not control. The first excludes and the second encumbers; the first is debased by over-issuance, whose cost falls on every holder, and the second impaired by default, whose cost falls on the signatory alone. This explains why the same party writes uniformly favourable accounts and declines to write at all. Three consequences follow. Disclosure theory predicts that voluntary disclosure unravels toward candour, and references conspicuously fail to unravel, because the unravelling logic bears on content while the instrument's force is separable from it, so the content compresses while the market in signatures thickens. Decision weight then falls onto the standing of the issuer, which is the unequally distributed quantity, and at the limit of that distribution are people with access to no issuer at all. Correcting the instrument does not correct this, since reconstructing well where positions are numerous while reporting honestly that reconstruction is unavailable where they are few improves accuracy and worsens distribution. Two levels of injustice resist different remedies. Under ideal transmission injustice remains and is irreducible to the conduct of any party; and transmission is one use among several, the others being permitted by the equivalent form rather than corrupting it. Neither level yields to better behaviour or to prohibition. The order described here presents candidates as competing on equal terms, and does so by means of an equivalent that is not equally available to them.

An account of a shared experience is composed by one participant in a relation and used by a third party who took no part in it. An earlier paper in this series established how positive law allocates authority over such an account and stated the conditions any defensible allocation would satisfy, proposing no regime. This paper asks whether an apparatus could administer those conditions, at what cost, and with what failure modes. It argues that only process requirements are available, since an output standard would demand a comparison between an account and the experience it reports that the ontology of the object denies, and that this is the limiting case of a condition under which regulatory theory independently recommends prescribing process rather than output. Five mechanisms are examined against the inherited specification: a duty to solicit and consider the other participant's rendering before issuing, a forum operating before an account is relied upon, preservation of the materials a later reopening would require, expiry of the entitlement to rely, and restriction of exchange. The last is disqualified by the paper's own definition of a mechanism, since the non-occurrence of a private exchange cannot be established; two lines of the specification are reached by nothing available. Three findings run against the proposals. The feature that makes these mechanisms resistant to ceremonial adoption, namely that discharge requires an act by the party they protect, is the feature that places the work upon that party; the cost falls on every occasion of issuance while the benefit falls on the few contested; and raising what is required of an issuer may contract the practice, in a direction that is documented and by a magnitude that is not, falling hardest on those with fewest relations from which an account might be drawn. That result exposes an inconsistency internal to the framework rather than a conflict between the paper's two routes, and two of the framework's criteria are accordingly restated as matters of degree rather than as thresholds.

An account of a shared experience is composed by one participant in a relation and used by a third party who did not participate in it, while the person it describes is ordinarily absent. This paper asks what rights attach to such an account and to whom, treating interpretation, contestation, transmission, reproduction, and ownership as five aspects of one object on the ground that the scope of the last four is fixed by the allocation of the first. It argues along two routes kept separate throughout: a doctrinal survey of four legal systems, and derivation from a set of principles of relational reproduction. The survey finds one allocation repeated across provisions enacted in different systems for different purposes, namely that the person described is granted access to an account of themselves and is withheld authority over its content; access and interpretive authority are shown to be separately allocable, and the convergence is explained by the prior location of interpretive authority in whichever party composes the account. Three further findings are reported: no located doctrine confers an integrity interest upon the person a work describes; positive law names the operative force of instruments whose force it has itself constituted and supplies no name for the force of an instrument working without legal constitution, with the consequence that exchanges of such instruments have no description in property law; and the events an account reports lie outside copyright entirely. Where the two routes meet directly, they conflict: copyright denies that authorship of a jointly produced past is shared, and denies it for a stated reason the paper accepts as sound. The framework's principle is therefore amended rather than defended, separating a claim to participate in settling an interpretation, which survives, from a claim to own accounts of the experience, which is abandoned. Two questions are stated and left open, with the conditions an answer would require.

Ordinary description of a street encounter reaches for verbs of transport: happiness spreads, is shared, is caught. This essay works from four scenes observed on a single day in Ginza and asks what that vocabulary commits us to. It commits us to a quantity that moves and is conserved, and a musician is not depleted by the number of people who stop. What travels between the parties and what occurs at a person who receives it are therefore distinct: a physical carrier travels, attenuates and can be blocked, while what occurs at each listener is neither conserved nor divided. From that separation the essay draws a case in which it could be shown wrong, since receivers of one carrier who differ in prior state either diverge or converge, and a transmission model defined by mimicry and emotional convergence predicts the second. It then distinguishes three conditions under which reception fails, and asks what would show a judgement about reception to be mistaken. The last section turns the account on the observer, whose own terms of reception varied across the four scenes in ways the record does not separate from the scenes themselves. The question that prompted the walk, whether the happiness on display was real, is set aside early and with reasons. The essay concedes that happiness as an emergent property of activity and situation is long established, proposes no theory of happiness, and reports no data.

A companion paper indexes the appropriation of relational value by the region of a six-part lifecycle at which the appropriation is performed, and by the aspect of that region on which it operates: the form an interaction may take, the conditions under which it becomes possible, or the process by which it occurs. This paper takes up a structure that indexing makes visible. A position holding power within one relation acquires a holding over a second relation formed by one of its parties with someone else, draws value from the second, and converts that value into a wider holding. Five results are offered. The difference between redirecting flows within a relation and determining what a relation can generate is a difference in which aspects a position holds and across how many regions, rather than a difference of degree, and a position supplying a configuration's first grammar constitutes it rather than extending into it. The holding sustains itself where the lifecycle's closure runs through that position, and enlarges itself where captured value is converted into further relational surfaces. The holding alters the composition of what is generated, determines the gap between generated and representable value, and leaves return undefined rather than blocked, so that the question of what share was taken loses the terms in which it could be put. Parties affected may be wronged along several independent directions, of which the one surviving the widest disagreement concerns parties outside the original relation, who commit scarce resources on a judgement about someone else and form no judgement about the position that receives them; these mechanisms are stated as prima facie. An arrangement of this kind consumes the generativity on which its own continuation depends, a result about the arrangement's conditions rather than its justice, which holds whether or not the preceding grounds are accepted. Three sources of the power required are distinguished, and relations resting on antecedent power are treated as the hardest case. The analysis is restricted to interpersonal, familial, educational, professional, and organizational relational systems.

Companion work develops a framework in which value is generated by a relational configuration rather than by any party to it, and is therefore not decomposable in advance into shares belonging to parties who existed before the configuration did. Applying that framework to questions of ownership, transfer, and remedy produces a determinate negative result and then stops. This paper states where it stops. Twenty-one problems are set out, each with the argument that produces it, the downstream questions it renders unanswerable, and what would defeat it. The problems are not independent. One of them asks whether a generative capacity and the conditions of its exercise can be separately identified at all, and if that question has no affirmative answer then six of the others are not problems in their own right but appearances of it. Two further problems are independent of that question and survive any answer to it: that a capacity transferred without diminution defeats the exclusion and depletion premises of the property model, and that comparing what two holders would generate requires a measure across kinds that may not exist. Three entries are marked, and the marks matter. One records an error in the author's own reasoning rather than a difficulty in the subject, one records a repair that was proposed and then defeated, and one records the single question the framework has settled, included so that the list cannot be read as uniformly negative. The paper claims that stating this structure is a result. A framework that returned confident answers here would be one that had smuggled back in the decomposition it set out to deny, and the strongest reason for setting the problems out in order is to make that smuggling visible when it occurs.

Value generated within a relation can be appropriated at points that no single account of exploitation covers. Ordinary treatments locate appropriation at production and distribution. This paper proposes a taxonomy indexed instead by the lifecycle of relational value, coarse-grained into six sub-spacetimes: encounter, formation, co-generation, valuation, circulation, and reproduction. Each is treated as an extended region rather than a point, so that regions overlap and each admits finer resolution into a structure of the same shape. Within a region, three aspects separate the object of intervention: the form an interaction may take, the conditions under which it becomes possible, and the process by which it actually occurs. A Lacanian layer then supplies the dynamics. Registers are not treated as three mutually exclusive categories. Each exploitative action receives an entry register, a driving form, and a trajectory across registers, on the ground that an intervention entering at one register propagates through the others. Tabulation of the resulting corpus of 225 mechanisms yields a distributional result. Interventions entering through the Real hold between a tenth and a fifth of the sites at the encounter, formation, and co-generation regions, fall to none at valuation and one in twenty at circulation, and return to an eighth at reproduction. Interventions entering through the Imaginary do not follow that movement and persist through valuation, so the depletion is specific to the Real rather than a general effect of symbolic dominance. The paper reads this pattern through the Lacanian formula for foreclosure: relational depletion has no term in the registers that perform valuation and circulation, so it is not recorded as a loss and returns at the reproduction stage as exhaustion, dissolution, and lost generative capacity. The title question receives a restricted answer. Relational depth raises the appropriable surface and the cost of exit, so it raises exploitability where the depth is asymmetric, meaning that one party's relation-specific sedimentation is unmatched by the other's. Because the uncompressed configuration space is combinatorially large, the taxonomy is organized into atomic sites, single-stage composites, and multi-stage motifs, and each site carries a local admissibility test separating exploitation from ordinary relational coordination. The framework is a revisable conceptual proposal. Empirical use requires operational indicators for depth, register entry, and return, together with rival-mechanism tests.

Someone who has worked with a person is asked to say what they are like, by a party that will decide something about them. The request is ordinary and the act is not. This paper asks what is owed by the party who issues such a judgment, and by the party who uses it. It argues, first, that the ethics usually brought to this act is the wrong ethics. Norms of assertion govern saying, and the act at issue does something other than say: it opens or closes the relations available to the person judged, which is why an account signed by someone who observed nothing still works. Duties appropriate to an exercise of discretionary power over another's conditions therefore govern it, and the obligation runs primarily to the person judged, who is absent from the transaction, rather than to the party who asked. The paper then develops the ethics from six principles of relational reproduction belonging to the framework in which it works: that reproduction preserve the possibility of continued becoming; that a shared past not be interpreted unilaterally by one of its authors; that value return to those who generated it, a principle inherited from work on generative justice and identified as such; that the authority conferred by an act of reproduction be met by a capacity to contest it, generated at the same moment; that no relation achieve its result by eliminating the other as a subject; and that no interpretation become historically irreversible, which requires that the conditions of later revision be preserved and not merely permitted. Applied to an account of a person, these yield results that a norm of assertion does not reach: that an ordinary confidential reference breaches the second and fifth principles by construction, that foreclosing a person's field is a graver wrong than describing them inaccurately, and that a duty of contestation must be built into the instrument when it is issued rather than supplied afterwards as an appeal. Two further claims follow. Refusing to write is not the safe course but the act requiring the stronger justification, since it forecloses invisibly and leaves nothing to appeal against. And because those excluded by such judgments are never observed, the party exercising this power can never establish that they exercised it well, so the ethics cannot be an ethics of correctness and must be an ethics of conduct under permanent unverifiability. The paper's duties are correlative: a restraint binding only the issuer penalises the scrupulous issuer and has, on the available evidence, already produced silence.

Movement through a city is usually modelled by fixing a geometry, placing agents inside it, and treating the worth of a location as a number attached to that location. This paper develops a representation in which relations carry the state instead. A street district is written as a compact lattice gauge theory of valuation on a two-complex, in the spin-foam representation of covariant loop quantum gravity. Persons, places and stores become one-cells, that is, worldlines, and the two-cells become the histories of the relations among them, so that being somewhere is a relation with a history rather than a coordinate a person carries. An entity is then a constraint on how the relations meeting at it may combine, rather than a bearer of state. Two consequences follow. Supplying a group and an action makes the spins, the intertwiners and the vertex amplitude follow from a character expansion rather than from stipulation, so that a large collection of local weights reduces to a small number of global choices; the expansion is verified against an independent numerical evaluation. Pedestrians then enter as charged matter, minimally coupled, and Kolmogorov's criterion yields a prediction sharper than the statement that valuation affects movement: circulation is sourced by the topological part of the valuation field alone, so that a region of large local disagreement and zero winding carries zero net circulation. A model whose forces are gradients of potentials leaves that pattern inaccessible, which makes the difference testable rather than interpretive. A case study on the street network of Ginza, Tokyo, with constructed commercial content, illustrates what the formalism does. The gauge structure changes simulated behaviour against a flat-connection control; circulation tracks the winding number while leaving a matched non-topological predictor inert; an effective distance read off correlation decay departs from street distance; encounter order is inert under an abelian connection and becomes material as soon as the valuation axes separate; and a walk on the complex sees an effective two-dimensional geometry over about a decade and a half of scale. One prediction fails, and its diagnosis is the most transferable result: it was imported from a confining gauge theory that the model leaves uninstantiated. The cell assignment admits two orientations, with entities on edges or objects on faces, and a counting argument bears on which of them leaves a configuration space to sample. Under the second, persons enter the spin foam directly, on condition that the one-cells are occasions gathering several parties rather than pairwise relations. The contribution is a representation in which relations rather than sites carry the state, a route by which local weights follow from a group and an action, a falsifiable point of difference from gradient-based models, and a criterion for choosing the cell assignment. Estimating the couplings from observation is identified as the next stage.

Judgments of persons are routinely formed inside one relation and used inside another. A supervisor's account of a researcher is read by an admissions committee; a clinician's formulation follows a patient into a different service; an electorate that has never met a candidate decides on the strength of endorsements by those who claim to know him. This paper asks what such a judgment warrants once it leaves the relation in which it was formed. On the framework used here, what a relation generates is generated within it and is available only from the positions its parties occupied, so an attribute exhibited in one relation is not thereby a property carried into others. The paper distinguishes two claims about assessment that are usually run together: that a judgment is a noisy estimate of a real underlying quality, for which the remedies are structure and de-biasing, and that there is no such quality to estimate, for which those remedies are misdirected. It argues that both hold, in different domains, and states where the boundary falls. A limiting case is then examined in which a referee signs an account written by its subject: no shared experience exists and the instrument functions regardless, which indicates that such instruments do not carry an account of a relation at all. What they transmit is a field of relational conditions that reconfigures what the person can subsequently generate; the account is the justification offered for opening that field rather than the thing conveyed. This explains why an empty instrument works, why such instruments are exchanged for things other than accounts, and why the same property that lets an unassessable person enter a system is what makes the instrument tradeable. Two cases are compared, political selection and academic recommendation, and the comparison is drawn not through the motives of those who judge but through the regime under which judgments are issued: who may issue one, at what weight, with what observational access, with what transferability, and under what provision for revision. The paper's positive proposal follows from the political case. Political theory did not resolve the problem of judging a candidate by making judgment more accurate; it made the mandate revisable. That remedy is institutional and temporal rather than epistemic, and it generalises. Where the paper's claims are already made by professional assessment standards, by the conferralist account of social properties, or by the selection model of representation, they are conceded rather than asserted.

Institutions that select people by reference almost always ask for more than one. This paper takes that requirement seriously and asks what it is for. On the account developed here, the shared experience between a candidate and a referee is not an object that either party holds and one of them writes down. It is generated within their relation, and each account of it is a projection taken from one relational position. Asking for several references is therefore an attempt to reconstruct an object from its presentations, in the way that what identifies an attractor is what remains invariant across trajectories. The institution is doing something structurally correct and doing it badly. Four consequences follow for the design of the procedure. What matters among sources is independence of relational position rather than the number of letters. What carries information is what survives across projections rather than their average or their maximum. Symbolic authority accrues to those whose time is scarce, so an eminent referee supplies a thin projection, and weighting by authority is accordingly the least suitable weighting for a reconstruction. And the calibration of individual referees, which no institution maintains, is a precondition for correcting the distortion each introduces. Two failures of procedure are then identified: evaluators collapse onto the single most authoritative account, which discards the reconstruction and returns the decision to one projection; and the candidate, who is one of the two producers of the experience, contributes no account at all. The paper proposes that the candidate's structured account be collected as a required source at the time references are requested. It closes with the injustice that survives every correction it proposes, including a paradox in which contesting an account may destroy the relation that generated the standing to contest it. The paper's central empirical premise, that divergence among sources carries information, is contested in the literature it draws on, and the paper argues for it rather than assuming it.

A state that undertakes to remain neutral is believed for reasons that have little to do with its sincerity. It will outlive the government that made the undertaking, its conduct is recorded and observed by many parties at once, and it holds sunk institutional investments that defection would destroy. An individual who undertakes the same thing has none of these. This paper asks how a private person, holding no office and backed by no sovereign, renders a commitment to non-capture credible to strangers. Three deficits are identified in the position of the isolated individual, concerning duration, observability, and the cost of exit, and the paper argues that the devices by which individuals address them all work in one way: they recruit other parties into the enforcement of a rule the individual states. Self-legislation, so understood, is legislation for a self and enforcement by a field. A trilemma follows. Among credibility, revisability, and retained authority over the determination of breach, a commitment device secures at most two: removing the capacity to defect is credible and unrevisable, declaring a rule one judges oneself is revisable and unbelieved, and delegating the judgment of breach is credible and revisable at the cost of the authority. The paper further distinguishes the registers through which trust is produced, treating symbolic guarantee, shared ordeal, and identification as distinct mechanisms with different failure conditions rather than as one process. Four instruments are compared: the international civil service, judicial recusal together with blind trusts and auditor independence, and a personal instrument that the author discloses and evaluates against the other three. The account is then tested against evidence that its own prescriptions fail, including the finding that disclosure of a conflict can increase rather than reduce the bias it reports. Two structural exposures are recorded: a short record makes an individual reputation both harder to establish and easier to destroy, and the community recruited to enforce a commitment is itself capturable.

A neutral party in a polarized conflict withholds the alignment that each side requests, and each side reads that withholding as a favour to the other. Ordinary accounts answer this difficulty by describing neutrality as a position between the parties, as equidistance, or as the suspension of judgment. This paper proposes a different object. Neutrality is treated as the governance of a field of relational conditions: the set of arrangements under which the parties retain the capacity to form, revise, and resume relations with one another and with the neutral party. A viability formulation states the maintenance requirement, namely that the set of arrangements from which some continuation remains available stays non-empty for each party. A reduction makes that requirement decidable without enumerating the field, by replacing the field with the structure of possible contacts that the standing conditions support; the reduction is a lower bound, detecting total foreclosure rather than narrowing. Two results follow from that formulation. A modality constraint separates the influence a neutral party may exercise from the instruments through which it may exercise it: judgment, testimony, and public argument remain available, while control over access, hosting, procedure, and channel may not be used to secure a substantive outcome. An accumulation asymmetry separates a declared position, whose abandonment costs other parties nothing, from relational infrastructure, whose accumulation places a stake in the hands of others and thereby raises the cost of reversal. The asymmetry is stated as one source of durability among others rather than as a prediction of which neutralities survive, and the Austrian case is the reason for the weaker form. The Swiss case supplies the illustration. International recognition in 1815, the separation of the law of neutrality from the policy of neutrality, the concentration of institutional hosting in Geneva, armed neutrality, and the sanctions and re-export decisions of 2022 through 2024 are read as operations on a field of conditions rather than as adjustments of a position. Failure receives a two-part treatment. Mechanism failure describes the loss of the capacity itself through capture, unpredictability, or loss of relational utility. Normative defeat describes the separate case in which the capacity survives and its maintenance becomes the instrument through which a party loses the standing to be a party. The wartime record of Switzerland and the International Committee of the Red Cross tests both. The account is a revisable conceptual proposal. Its empirical use requires comparative cases, independent measures of relational infrastructure, and the separate evaluation of accuracy, distribution, contestability, and accountability.

The event layer developed earlier in this series produces a stream of timed, typed, source-assessed reports across the parties of an interdependent field. Such a stream invites a familiar statistical treatment, since point processes in which past events raise the intensity of future ones are well understood and their multivariate form supplies exactly a matrix of cross-excitations among sources. This paper takes up that treatment and argues that its most natural interpretation is wrong in a way that matters. The method is analytical, with one verified simulation. The paper's central claim is that an excitation kernel fitted to a governance event stream is not an estimate of the field's physical coupling structure. An observed excitation from party $i$ to party $j$ is generated by a chain of four things: a coupling that obtains, a threshold at which the second party's instruments register a consequence, a carriage arrangement that delivered the first party's report, and the second party's own emission decision. Two of the four are institutional settings, and both are revisable, so a fitted kernel measures the composition and cannot be decomposed into its factors without information the stream does not contain. The consequence is a division of uses. The fit is invalid for structural inference, so a coupling may not be asserted from an excitation, nor denied from its absence; and it is valid and useful for operational purposes, since what an arrangement needs in order to route reports, allocate attention, and anticipate load is precisely the reporting-conditional propagation the fit does estimate. The paper develops three further results. The branching ratio of the stream is a relational quantity computable from the stream alone and is a candidate network-level indicator of the kind the criticality paper of this series calls for, with the caveat that it measures the reporting cascade and not the physical one. As that ratio rises, the share of activity attributable to the stream's own history rises with it, so what a forecast is forecasting changes, and near unity the forecast concerns the arrangement more than the field. And valid estimation presupposes that thresholds and carriage were stable over the fitting window or that their changes are retrievable, which makes the versioned registers required elsewhere in this series a precondition of the method and not an administrative convenience. The paper surveys the point-process, seismological, network-cascade and infrastructure-modelling literatures, states what each owns, and identifies the residue.

A governance arrangement approaching a critical threshold in the system it governs is in a situation this paper argues is structurally worse than the sum of its difficulties. Three quantities on which such an arrangement depends degrade as the threshold nears, and they are not three independent risks to be managed separately: they are monotone functions of a single approach parameter, so they degrade together and their unfavourable values coincide exactly where governance most needs them. Detection reliability falls, because the statistical signatures on which early warning depends become harder to estimate as the system's recovery slows. The margin within which an intervention is safe shrinks, because the distance to the boundary of the occupied basin is what shrinks as a threshold nears. And estimation of the system's position degrades, in a manner the paper argues is worse than mere imprecision: near-unit-root estimation of persistence is biased downward, and because the recovery rate is a logarithm of persistence, a small downward bias becomes a large overstatement of stability precisely where persistence approaches one. The paper reports a simulation confirming that the same bias which overstates stability by five per cent far from a threshold overstates it nearly threefold near one, so the error runs toward apparent safety and grows as safety diminishes. The governance consequence is the paper's central claim. The standard institutional response to uncertainty, which is to observe more closely, act more cautiously in light of what is observed, and learn from the response, has all three of its legs cut at once by the triple bind, since observing, acting, and learning degrade together and in the same direction. The paper argues that near criticality an arrangement must therefore transfer weight from inputs that describe the system to inputs that describe the proposed act, principally its reversibility, because a property of an act does not degrade as the system approaches a threshold. This is the sense in which the burden criterion of the series' first paper is not merely applicable near criticality but is the only governing input that survives it. The paper surveys the relevant statistical, dynamical, decision-theoretic and institutional literatures, states what each owns, and identifies the residue. It reports no field study.

Governance of environmental change addresses a field composed of many interdependent infrastructures, energy, water, food production, ecosystems, settlements, health, transport, industry, and the digital systems that instrument them, whose couplings carry consequences across sectoral and jurisdictional boundaries. Existing arrangements govern these infrastructures sector by sector, and existing proposals for improvement concentrate on integration, the assembly of distributed observations into a single coherent picture of the system. This paper argues that integration in that sense is unavailable for a field of this kind, and proposes a different architecture. The method is conceptual and architectural: the paper distinguishes three structures that are ordinarily conflated, the physical structure of dependence among infrastructures, the epistemic structure of who knows what about which dependence, and the communicative structure of who reports to whom, and treats their divergences as governance-relevant quantities in their own right. Three consequences follow. A dependence that is physically present and communicatively absent constitutes a determinate and observable governance failure, which supplies a diagnostic that requires no model of the whole. The assembly of heterogeneous observations into one state estimate presupposes a privileged common representation, which physics supplies to meteorology and which coupled social-ecological fields do not possess, so integration must proceed at a layer that does not require it. And the absent edges of the physical structure, the couplings that exist and are unrecorded, are the governance-critical objects, which inverts the usual emphasis on what is measured. The paper's contribution is to define the three structures, to state their divergences as the primary diagnostic of the architecture, to distinguish the position from interdependency analysis, polycentric governance, and Earth observation integration programmes, and to identify the open questions that estimation of these structures raises. Its role is foundational for a wider programme, and it reports no empirical estimate.

Coordinated action on an interdependent environmental field requires that parties describing the field in different terms act together on the same processes. The usual route to such coordination is agreement about states: a shared account of what a quantity is, and a shared target for it. This paper argues that agreement of that kind is expensive in representational commitment and frequently unavailable, and proposes a primitive that is cheaper. The method is conceptual and definitional, developed through a graded account of what agreement of successive kinds requires. The paper's central observation is that agreement about the direction and unusualness of a change demands far less shared representation than agreement about the identity of the quantity that changed, so that parties who cannot describe a system in common terms may nonetheless recognise, report, and act on correspondences among changes. Three consequences are developed. Differentials are proposed as an ontology-light coordination primitive, with the conditions under which correspondences among changes are identifiable and the conditions under which they mislead. The argument is grounded in a dynamical result and not in convenience alone: transitions induced by the rate at which a system is forced are not detectable from its state, so a governance arrangement addressed only to states is blind to a class of transition in principle. And the limits of the primitive are stated at length, including its blindness to a system already in an unacceptable state whose rate of change is zero, from which follows a division of labour between constraints stated over states and governance conducted over changes. The paper concedes the philosophical treatment of difference and repetition, the structural analysis of relational value, existing rate-based regulatory instruments, and derivative action in control engineering, and identifies what remains unclaimed. It reports no empirical study and establishes no formal result.

Governance of an interdependent environmental field requires knowledge that no party holds. Knowledge of such a field stands distributed among hydrological services, ecological programmes, health authorities, industrial operators, and populations resident in the systems concerned, and their holdings differ in variable, in resolution, in evidential standard, and in the kind of claim they issue. The prevailing response is integration understood as reconciliation: harmonise the categories, resolve the disagreements, and produce a single account on which decisions may rest. This paper argues that reconciliation so understood is unavailable and that its pursuit is harmful, and proposes an alternative conception of what integration can be. The method is conceptual, developed through an examination of what aggregation procedures preserve and what they discard. Three insights are advanced. Knowledge of a distributed field is not the union of what its parties hold, since the relations among their holdings, including their disagreements, carry information that no party's holding contains. Aggregation over claims that stand in logical relations to one another cannot in general be conducted claim by claim without producing conclusions no party accepts, which is a known impossibility whose bearing on environmental assessment has not been drawn. And the claims held by parties in such a field are of kinds that cannot be averaged, since a probability, a rate ratio, a monetary estimate, a qualitative account, and a legal duty are not five measurements of one quantity. From these the paper develops a conception of integration as temporary, question-relative assembly that preserves disagreement, uncertainty, and acknowledged ignorance as first-class content, together with the provenance required to prevent a single source counted twice from appearing as two confirmations. The paper surveys social epistemology, judgment aggregation, expert elicitation, post-normal science, co-production, epistemic injustice, and the traditional-knowledge literatures, states what each owns, and identifies the residue. It reports no empirical study and establishes no formal result.

Coordination in an interdependent environmental field cannot run on continuous shared monitoring. The parties hold different instruments, observe at different rhythms, guard some of their records, and share no representation into which a common state could be assimilated. This paper develops the alternative reporting layer indicated in the earlier papers of its series: governance coordination conducted through events, sparse asynchronous reports that something consequential has changed, emitted by the party that observed the change, in its own terms, against its own record. The method is conceptual with a formal core borrowed from established literatures. The paper defines the event as a governance primitive, distinguishes it from the alarm, the indicator, and the disclosure, states its content requirements, and separates six classes of event whose triggering conditions and record requirements differ. Four insights organise the development. Event-triggered reporting concentrates communication where a field is moving, and results in control engineering establish that sparse triggered communication can maintain bounded deviation where periodic reporting of the same frequency cannot, so sparseness is a design principle and not a compromise. Events among distributed parties admit no global ordering: the order of unrelated events is undefined, only causal order is available, and governance procedures that presuppose a single timeline are therefore unsound for distributed fields. The determination of what counts as an event, the threshold of consequence, carries the arrangement's power and follows the distribution of records. And silence is systematically ambiguous among ordinary conditions, instrument failure, inadequate baselines, and strategic withholding, so an arrangement's treatment of non-reporting is as consequential as its treatment of reports. The paper surveys event-triggered control, distributed systems theory, event-based epidemic surveillance under the International Health Regulations, notification duties in international environmental law, incident-reporting regimes in aviation safety, disturbance ecology, complex event processing, and neuromorphic sensing, states what each owns, and identifies the residue. It reports no empirical study; its formal claims are borrowed and their sources stated.

The architecture developed in the earlier papers of this series presupposes throughout that parties can observe the field they govern: conditions must be characterised, changes assessed against records, couplings established, and approaching thresholds detected. This paper takes that presupposition as its subject. Observational capacity is unevenly held, its distribution follows the distribution of instruments and of operational tenure, and the international record shows warning and monitoring coverage lowest where exposure is highest. The method is conceptual and the paper's contribution is to state why this distribution is a matter of justice and not of service quality, and what follows procedurally. Four positions are developed. Observational capacity is constituted by duration and cannot be acquired at the moment of need, since establishing that a coupling obtains requires paired records spanning a multiple of the coupling's own timescale, so capacity is a stock accumulated by presence and no expenditure substitutes for the years not observed. This yields an establishment frontier whose adverse property is that the couplings requiring the longest records are those whose alteration is least reversible, so the parties least instrumented are excluded from precisely the claims that matter most. A governing principle keyed to a property that must be established, as this series' principle is, therefore allocates protection along the distribution of instruments unless something is done about it, and four asymmetries compound: over establishment, over the standards defining what counts as unusual, over the credibility accorded to accounts, and over which couplings are examined at all. The paper's constructive proposal is a duty to look, owed by parties holding capacity toward couplings their own conduct bears on, with an adverse inference available where the duty is unmet, drawing on the treatment of evidential control in the law of proof; and a set of presumptions operating where capacity is absent, so that the silence of the unobserved is not read as the safety of the unobserved. The paper surveys environmental justice, procedural rights in environmental law, epistemic injustice, community-based monitoring, indigenous data sovereignty, the sociology of undone science, and the law of evidential control, states what each owns, and identifies the residue. It reports no empirical study.

Interdependent Earth–human systems contain thresholds at which small further forcing produces large and partly irreversible reconfiguration, and a governance arrangement for such systems requires warning of their approach. A substantial scientific literature supplies early warning indicators, and recent assessment reports that several major thresholds are near or crossed. This paper does not add to the indicator literature. Its subject is the step that literature leaves open: what it is for detection to be a governance function, operated as a standing arrangement whose findings carry duties, among parties none of which observes the field whole. The method is conceptual, with the statistical material taken from its owners and its conditions stated. Four positions organise the paper. Detection in an interdependent field is relational before it is local: the precursors of system-scale transition lie in the coupling structure, in rising co-movement and shared stress across subsystems, and these are visible only to an arrangement that spans parties, so the communicative structure of the field is a precondition of its warning system and not an accessory. Detection outputs should enter governance as graded standing levels with duties attached to each grade, on the model of the operating arrangements in volcanology, famine classification, and prudential supervision, and not as binary alarms. The soundness conditions of the underlying indicators are restrictive and partly institutional: entire transition classes escape them, including the rate-induced transitions treated earlier in this series, and coupled human response can mute the signatures the indicators read. And the capacity to detect is unevenly held, so a detection arrangement inherits the distribution of instruments and records, a matter developed as a justice question in the next paper of the series. The paper surveys the early warning literature and its critiques, spatial and network extensions, systemic-stress measurement in finance, and the operating institutional instances, states what each owns, and identifies the residue. It reports no empirical study and establishes no statistical result.

The event layer developed earlier in this series leaves two questions open by design. An emitting party names the parties it believes a change affects, and that naming is a revisable claim and not a routing instruction, so an arrangement must complete the delivery; and a report asserts consequence without prescribing a response, so an arrangement must have some means of doing more than delivering when more is warranted. This paper takes up both. The method is conceptual, with one small quantitative observation. On routing, the paper distinguishes three modes by what each requires and what each costs: delivery to parties the emitter declared, delivery along correspondences established from paired records, and delivery inferred from structural adjacency where no correspondence has been established. The modes trade reach against precision, and the paper's central observation is that the trade is not symmetric: because the physical structure of a field is incomplete in every party's hands, reach can be bought only by delivering to parties for whom the report is irrelevant, and the marginal volume required per additional coupling reached rises steeply, while the cost of that volume falls on receivers as the habituation that the event layer identifies as its characteristic decay mode. Routing breadth is therefore a governed parameter trading blindness against habituation, and neither end of its range is safe. On inquiry, the paper proposes a bounded, question-relative process that an arrangement may open when a report warrants more than attention, which tasks observation under the duty to look, assembles the holdings that bear on the question with disagreement preserved, and terminates in an action, a finding that the material does not warrant one, or a determination of what could not be established. The paper argues that inquiry has an epistemic function beyond the question it answers, since an inquiry that establishes a coupling adds it to the carriage map, so an arrangement learns its own structure from the inquiries it runs. The paper treats strategic silence and the corruption of routing observables inside the design and not as afterthoughts, surveys the literatures on information routing, on regulatory escalation, and on inquiry design, and identifies the residue. It reports no empirical study.

A distributed governance arrangement of the kind this series develops generates findings through a chain: records are maintained, provenance and registers are kept, changes are reported and conjectures accumulated, holdings are assembled and inquiries run, and derived artefacts result. This paper asks how contribution to such a chain should be attributed and what an owner of a derived artefact may do with it. The method is conceptual. The paper's first position is that the costs and the attribution run in opposite directions along the chain. Cost falls at the beginning, on observation sustained through periods in which nothing is found, on provenance kept by each handler, and on the recording of determinations that nothing could be established; attribution accrues at the end, to the party that made the finding. The paper names the neglected class the enabling contribution, and argues that its neglect is structural and not an oversight, since an enabling contribution is identified only in retrospect and only by the finding it enabled, so no procedure operating at the time of the contribution can recognise it. The second position is that proportional attribution is unavailable here for a reason that does not turn on measurement difficulty. Apportionment schemes require a defined set of alternative combinations against which a contribution's marginal value is assessed, and for a fifty-year record the relevant counterfactual is not a coalition of parties without one member but a different history, which no apportionment defines. The paper therefore declines shares and proposes that attribution record the chain and not divide it, with the specific requirement that the chain include what was maintained through periods without findings and what was determined to be unestablishable. The third position concerns ownership. Because a derived artefact is generated from a commons whose loss is irreversible, the governing question is not who owns the artefact but what an owner may do with it, and the paper argues that enclosure of a derived artefact is an alteration of a governed condition attracting the burden that this series' principle imposes, so the owner's rights are bounded by what their exercise forecloses. The paper surveys authorship and credit practice, apportionment theory, intellectual property and its exceptions, data attribution standards, and commons-based provision, states what each owns, and identifies the residue.

Environmental harm following a critical transition presents a responsibility problem that ordinary causal doctrine handles badly. Many parties contributed forcing over decades; the transition occurred at a threshold whose crossing no party's contribution was sufficient to produce and which each party's contribution was necessary to; the harm manifested later; and the crossing itself was ordinarily not observed at the time. This paper proposes a relocation of the causal question. The method is conceptual and doctrinal. Its scope is deliberately narrow: the general difficulties of apportionment in distributed generative systems are treated in separate work and are not re-argued here, and the paper confines itself to what is specific to environmental transitions. The central claim is that causation of the crossing is not apportionable while causation of the approach is, and that responsibility should therefore attach to a party's contribution to the approach and not to its contribution to the transition. The ground is structural: at a threshold each contribution is necessary and none is sufficient, which is the configuration in which shares are undefined, whereas cumulative forcing toward the threshold is additive and admits shares by construction. Relocating the question to the approach makes the tractable quantity the object of the doctrine, and the paper argues this is what the leading proportional-contribution litigation has in substance already done, in affirming a principle of proportional liability for contribution to a global forcing while failing on the facts of the particular exposure. Three further results are developed. The relocation converts responsibility into a quantity over rates, which connects it to the differential treatment developed earlier in this series and makes the relevant evidence the record of a party's forcing over time. It supplies a determinate join to the supervisory duties treated in a companion paper, since a breach of an epistemic duty is evidence of a kind courts already receive and does not require the attribution the conduct-keyed regime was adopted to avoid. And it locates the discovery and limitation difficulty precisely, since a crossing established years after it occurred, by estimates a companion paper shows to be biased toward reporting stability, gives defendants an honest ignorance defence that the epistemic duties are the appropriate answer to. The paper surveys attribution science, the doctrines of necessity and sufficiency, proportional and market-share liability, and the climate litigation record.

A contribution can remain difficult to evaluate, difficult to translate, or unable to reach the institutions that allocate future opportunities. These conditions are often compressed into the statement that value lacks recognition. This paper proposes a typed account of recognition accessibility. It separates standard-relative qualification, favorable evaluation, constituted standing, attribution, transmissible evidence, and opportunity-gate access. Recognition can detect a qualification specified under a declared standard, constitute a social or institutional status, or link both layers in a hybrid mechanism. A route decomposition distinguishes exposure, translation, judgment, and attributable transmission. Under conditionally independent evaluators, exact formulas give network sensitivity, false-positive access, and the marginal effect of another evaluator. A shared route barrier creates a strict accessibility ceiling, which separates nominal evaluator count from effective evaluator diversity. A discrete-time hazard identity represents first recognition over a finite horizon. A directed opportunity graph then defines reachable gates and a recognition cut number. Portable evidence weakly enlarges reachability and improves cut robustness only when it bypasses prior bottlenecks. Finally, a two-model construction shows that a finite recognition trace can have the same distribution under a detection model with an unobserved qualification and a constitution model without that variable. Recognition observations therefore require an explicit value ontology and discriminating evidence. Studies of academic judgment, delayed citation, novelty, and interdisciplinary funding motivate the problem while remaining tied to their own indicators and institutions. The resulting framework is a revisable conceptual model. Empirical use requires calibrated standards, dependence analysis, longitudinal network evidence, rival-mechanism tests, and separate evaluation of accuracy, distribution, participation, contestability, privacy, and institutional dependency.

A perturbation can disappear quickly in one dynamical regime and cross a transition boundary in another. This paper studies the gradual transformation that changes that response. It proposes criticality preparation as a typed, route-specific comparison in which a persistent intervention changes local recovery, threshold geometry, potential barrier, finite-time gain, stochastic escape, or viable receiving access over a declared horizon. The concept is developed independently from its oceanographic inspiration. A dimensionless fold model yields exact expressions for the stable branch, unstable threshold, recovery rate, threshold margin, and potential barrier. A negative kick of fixed magnitude $h$ crosses the frozen threshold exactly when $a < h^2/4$. Along a linear slow path, this condition gives a closed-form preparation time. A small-noise escape expression states a separate stochastic route with explicit asymptotic conditions. A triangular two-state extension then preserves both stable eigenvalues while cross-channel transient gain changes with relational coupling. Reproducible simulations verify the deterministic threshold within the toy system. With fixed noise and horizon, the estimated escape frequency rises from zero observed events among 10,000 paths at the two deepest parameter settings to 0.9732 at the shallowest setting. Step-size and noise checks preserve the qualitative parameter ordering. These results establish conditional model consequences and a computational benchmark. Target-domain interpretation requires construct validation, coherent intervention contrasts, longitudinal identification, mechanism discrimination, robustness, replication, and a separate safety profile. Historical explanation, normative classification, and policy endorsement remain open research stages.

Power can persist through law, habit, coordination, external scarcity, or organizational inertia. A narrower mechanism appears when present exercise changes a condition of future power and that change returns as greater later power. This paper proposes the term self-reproducing generative power for that mediated return. The proposal is actor-, target-, domain-, action-, comparison-, and horizon-specific. Three candidate paths receive separate treatment. A material path runs through practical exit and dependence. A counter-power path runs through contraction of viable contestation. An institutional-legitimation path runs through justificatory assertion, audience uptake, institutional conversion, and later power. Under a local differentiable model, each path contributes a chain-rule product to the one-step power multiplier. The direct persistence term remains algebraically separate. The result measures local mediated return; multidimensional stability depends on the full Jacobian and nonlinear regime. A set-valued construction defines counter-power through efficacious actions that preserve a declared viability condition. A finite-trace countermodel then establishes that an observed trajectory of power and dependence underdetermines an endogenous return loop across unrestricted model classes. The paper therefore requires edge-specific causal evidence, plausible rivals, longitudinal-confounding analysis, and strategic-response analysis. Self-reproduction, restricted closure, domination, injustice, generativity exploitation, responsibility, and legal wrong remain separate registers. The current contribution is a revisable mechanism grammar, a conditional local derivation, an identification warning, and a comparative research programme. Empirical prevalence, historical application, normative evaluation, and legal classification remain open.

Oceanic upwelling offers a compelling image for a relational process in which changes to surrounding channels and receiving conditions make movement possible for a constrained state. Its scientific use across domains requires a stricter architecture than resemblance alone. This paper reconstructs a minimal physical source model and proposes an analogy-transfer certificate for ocean-inspired relational research. In the source domain, mass continuity under the Boussinesq approximation yields an integrated relation between vertical velocity, an upper boundary value, and horizontal divergence through the water column. A local divergence sign determines a vertical derivative; boundary data and vertical integration determine the resulting velocity. A slab Ekman relation adds wind stress and rotation, while modern coastal-upwelling research adds geostrophic transport, stratification, coastal geometry, mixing, and source-water properties. The proposed certificate records purpose, source and target models, state map, preserved relations, declared disanalogies, open correspondences, observables, comparison models, and failure conditions. Exact commutation carries source trajectories into target trajectories on a declared domain. A vocabulary map alone leaves target dynamics underdetermined. The target construction therefore defines relational upwelling independently through changes in viable receiving paths and finite-horizon access to a declared open region. Six failed mappings separate incompressibility from social conservation, depth from moral rank, buoyancy frequency from generic stability, sea surface from a critical manifold, turbulence from proximity to a tipping point, and vertical compensation from emancipation. The present result is a verified source-domain reconstruction, a heuristic analogy, and a proposed target model. Structural and empirical status remain conditional on mapping, measurement, comparison, and defeat tests.