Topics — What a work is about. Nucleation holds whatever reading the owner files here, whether or not an Anthology of the SOTA topic could also hold it; instruction for ML practice belongs to the anthology (ADR-048). The words are seeded from the clusters the reading-time triage of 2026-09-25 found, and grow by decision.
Complex systems — emergence, information decomposition, individuality, self-organization — how collective behaviour arises from parts.
52 of 371 QUESTION documents. Back to the full index.
| # | Title | Summary | Status |
|---|---|---|---|
| QUESTION-013 | Under iterated transport, when do observational, structural and decision distortion converge together, diverge, or evolve independently? | The fifth of the five central questions (A110 §IX): the joint trajectory of (D_obs(n), D_struct(n), D_dec(n)), “including the possibility that a chain becomes conventionally interpretable while losing ancestral pragmatic structure”. The manuscript says only that the trajectories “need not coincide” (§8). | Open |
| QUESTION-033 v2 | In a system described at more than one level, does “who drives?” have an answer at a given level, and what kinds of answer are there? | The owner’s agency question of 2026-10-11, which follows from the threshold criterion (QUESTION-035): once a combined form is one system, which part or level, if any, drives it? The owner proposes a spectrum of kinds (top-down, bidirectional, emergent) and holds that the answer changes over time. It sharpens QUESTION-009 by asking about drive before asking about agency. | Open |
| QUESTION-035 v3 | Relative to a stated target, when is a combined form one system, where does its boundary lie, and how long does it last? | The question the dancing couple, the person and notebook, and the firm at its all-hands have each raised on 2026-10-11, now given a code at its third appearance. It sharpens QUESTION-009 (when does coordination constitute an additional agent) to the prior question of when it constitutes one system, and makes the target explicit, as CLAIM-152 requires. | Open |
| QUESTION-042 | In a recorded brain, where anatomy fixes the candidate units independently, do the blocks that clear an Occam-priced test fall at the anatomical boundaries, at which scale, and how long do short-range and long-range blocks last? | Filed in the fourth synthesis pass to give readings no question asked for a place in the argument. It bears on CLAIM-157, CLAIM-154 and CLAIM-164. THEORY-124, THEORY-097 and THEORY-088 answer it in part; the body gives each one’s limit. | Open |
| QUESTION-045 v4 | Is a mental disorder that outlasts its trigger a protective lock-in at the individual scale, a regime kept stable by behaviour that blocks its own disconfirmation while the capacity to leave it degrades, and does cutting the maintaining link, with the regime’s content held fixed, produce lasting change? | Filed in the fourth synthesis pass to give readings no question asked for a place in the argument. It bears on CLAIM-079, CLAIM-025, CLAIM-099 and CLAIM-018. THEORY-058, THEORY-050, THEORY-052 and THEORY-053 answer it in part; the body gives each one’s limit. | Open |
| QUESTION-063 v4 | When a collective outcome such as synchrony, or the fall of a regulated quantity, can come from a shared external drive, from coupling among the members or from different internal routes, what measurement or intervention tells which architecture produced it, given that directional information measures under a recorded one-sided drive need not follow the coupling? | Filed in the fourth synthesis pass to give readings no question asked for a place in the argument. It bears on QUESTION-035, QUESTION-033, CLAIM-172, CLAIM-167 and CLAIM-158. THEORY-129 and THEORY-130 answer it in part; the body gives each one’s limit. | Open |
| QUESTION-078 v2 | If an agent’s interests need not synchronize to act as one, can differentiated interests keep distinct roles, boundaries and pathways of influence within a stable or metastable pattern of coordination, and what collective variable would show it? | From an interlocutor’s reading of LIT-638 against CLAIM-163, relayed by the owner on 2026-10-12: whether integration of an agent’s interests is synchronization or coordination of differentiated parts. It refines QUESTION-034 and bears on CLAIM-162 and CLAIM-163. Filed as advice. | Open |
| QUESTION-079 | Is the coordination among an agent’s regimes better described by discrete switches between metastable states or by continuous reorganization, and does the answer change what would count as a transition in the test of the synchronization objection? | From an interlocutor’s reading of LIT-638 against CLAIM-163, relayed by the owner on 2026-10-12: whether coordination is discrete switching or continuous reorganization, which decides what CLAIM-163’s transition test should look for. LIT-638 and LIT-080 are rivals on it. Filed as advice. | Open |
| QUESTION-083 v4 | Beyond stable, differentiated authority, which one update rule can produce, can processes that share it come to hold mutually regulated authority with specialized niches, without any governance role being coded in, when some competences show only in rare contexts? | A10’s first decisive question, and the experiment A7 called the ideal first result. Two Proposed claims answer it in advance: trust emerges as a regularity of endorsement (CLAIM-277), and roles are regimes, not kinds (CLAIM-279). Nothing has been run. An answer is a population model with no role primitives, and whether durable differentiated authority forms. | Open |
| QUESTION-085 | Does a maintained r/place artwork feed back into the flow of repair that keeps it, so that it is self-maintaining like a candle flame, or is its defence supplied from outside like the heat under a convection cell, and does the answer change when its coalition starts switching strategies? | The question CLAIM-273 leaves open, set on the ladder the record’s readings already hold. An inert pattern needs no flow. A dissipative structure is held by a flow supplied from outside. A self-maintaining one, Bickhard’s and Mossio et al.’s candle flame, contributes to the flow that keeps it. A recursively self-maintaining one switches among ways of keeping itself going. An answer says which rung an artwork reaches, by a test that could fail on the placement and forum records. | Open |
| QUESTION-091 | Does the allocation of influence among an organization’s processes regulate how far cascades of activity propagate, holding different subsystems at different distances from criticality, as a branching ratio would show? | The owner proposed Hawkes processes at U6. A6 turned them into a hypothesis: “the influence canvas dynamically regulates the branching structure”. The record had no point-process material. Of the three sources registered, only Brémaud and Massoulié could be read. A Hawkes network supplies a coupling, its kernels, which CLAIM-163 found missing from talk of “synchronization”. Its spectral radius is a control parameter and, outside the linear excitatory case, only a sufficient bound, not an order parameter (see the note of 2026-10-13). | Open |
| QUESTION-100 v3 | Beyond the linearization at symmetry, when does coupling interpretation-dependent retrieval to performance-dependent endorsement produce stable expertise, and when does it produce self-reinforcing interpretive capture? | A22 §8’s question, from the owner’s U22: connect retrieval-mediated anchoring to the record’s formulation of a distributed agent as two dual canvases, meaning and influence (CLAIM-285, TERM-053). QUESTION-087 asks whether self-reproducing authority can be pathological by the organization’s own standard. This names one mechanism by which it could become so. | Open |
| QUESTION-104 | Which partitions of a system remain sufficient, exactly or approximately, when prediction is restricted to a computational budget, and does the budget change which units are worth naming? | A14 §3 and A15 §8, after the owner’s correction at U14. CLAIM-152 says sufficiency-based individuation is relative to its target. This asks whether it is also relative to the observer’s resources. | Open |
| QUESTION-117 v6 | Does coupling the construction of meaning to the allocation of interpretive authority produce modes, attractors or transitions that established models of opinion dynamics with evolving influence (reflected appraisal, adaptive networks, persuasion bias) cannot reproduce as economically? | A15 of the exchange of 2026-10-16. The DeGroot–Friedkin model couples opinion formation on each issue to the evolution of social power across issues by reflected appraisal, and may be the closest predecessor of CLAIM-297’s circuit. Adaptive networks (Holme and Newman; Gross and Blasius) and persuasion bias (DeMarzo, Vayanos and Zwiebel) may explain capture more simply. All registered unread: LIT-1146, LIT-1128, LIT-1139, LIT-1134. An answer derives CASE-092, or a reduction of it, inside one of these models, or names the outcome they forbid and it allows. | Open |
| QUESTION-124 | When do endorsement dynamics turn a transient conflict among an organization’s demands into a persistent regime of frustration, and can the condition be stated in an architecture-sensitive update geometry such as modular duality’s? | A33’s proposed next result, U33 of the exchange of 2026-10-17, after the owner asked whether “the modular duality program might be useful to us here”: “characterize frustration in a modular update geometry, then ask when the dynamics of endorsement convert a temporary optimization conflict into a persistent organizational regime.” The record has the static parts, the residual and its certificate (CLAIM-365) and the structural/governance split (CLAIM-357), and a linear capture threshold (CLAIM-330). It has no dynamics joining them. An answer gives a condition on the coupling of endorsement to demands under which governance-induced frustration persists after the conflict that started it is gone, and says whether the update geometry enters it. | Open |
| QUESTION-125 | When a candidate block gains or loses the gap that isolates it as a parameter varies, does the change in its identifiable boundary coincide with a bifurcation of its dynamics, and what does each way of their coming apart show? | A6 §2 of the exchange of 2026-10-17, which the owner took up with “flesh this out further”. The record identifies a unit by a gap in its interaction structure (CLAIM-157, CLAIM-164) and finds regime changes by stability (CLAIM-330). Both are spectral facts about a parameter-dependent system, but they are different facts, and nothing in the record pairs them. A6: “Their divergence may be just as revealing as their coincidence.” An answer is a construction or a system in which the two transitions coincide, one in which the regime changes with the block unchanged, and one in which the block changes with the behaviour unchanged, with what each shows about regime, individual and function. | Open |
| QUESTION-132 v4 | Under what conditions do initially equivalent adaptive operators differentiate into functionally complementary specialists that each have positive recovery growth when rare, rather than into roles kept in place by external load balancing or by persistent authority asymmetries? | The central mathematical question of the synthesis the owner relayed on 2026-10-18. QUESTION-083 asks whether operators sharing one update rule can come to hold differentiated authority. This asks the coexistence version: does the differentiation produce stabilizing negative frequency dependence, meaning every specialist recovers when rare (Chesson’s stabilizing mechanisms, LIT-1219, unread)? Or is it held in place from outside, or by one process’s entrenched advantage? An answer is a population model that derives the interaction structure from learned contributions, states recovery criteria, and finds the regimes of coexistence and exclusion. Heterogeneous embeddings, unequal routing weights or persistent expert identities do not answer it. | Open |
| QUESTION-133 | Can a population of operators whose demands are jointly infeasible under one functional organization develop a differentiated or compositional repertoire that makes them jointly feasible, without suppressing, weakening or deleting any of those demands? | From the synthesis the owner relayed on 2026-10-18, which called it the most conceptually interesting new connection. CLAIM-347 defines structural frustration as joint infeasibility and relief as enlargement of the compatibility complex under fixed demands. CASE-119 shows relief by enlarging the attainable set, with every pair compatible and the triple not, until a composite policy appears. The question is whether learning, specialization or recomposition can bring this about endogenously. An answer is a model that keeps the acceptance sets fixed while learning changes what is attainable and strictly enlarges the complex. Apparent relief that comes only from removing a demand or redefining success does not count. | Open |
| QUESTION-134 v2 | When influence decides access to learning opportunities, does the resulting feedback make a marginalized specialist lose its competence, so that it cannot recover influence even when its former niche becomes relevant again? | From the synthesis the owner relayed on 2026-10-18. CLAIM-277’s note of 2026-10-18 records niche exclusion by authority deprivation: low exposure, poor competence estimates, low endorsement, lower exposure. This asks whether the loop goes further and destroys the competence, not just the measurement of it. When training opportunities follow influence, a specialist denied opportunities may become genuinely unable to do its job. An answer separates loss of influence, loss of competence and loss of access to evaluation. That gives an operational test for one mechanism of domination without defining domination as holding less authority. | Open |
| QUESTION-135 v2 | When does spectral differentiation among learned features correspond to stabilizing coexistence among the processes that implement them, and what besides the feature geometry decides it? | From the synthesis the owner relayed on 2026-10-18. In symmetric resource-mediated competition the interaction matrix is the Gram matrix of the components’ feature vectors, A = UᵀU, so representational redundancy and competitive overlap are one object (CLAIM-369). In the two-component case invasion growth equals λ_min(A) (CASE-118). But the same A supports coexistence or exclusion depending on the growth rates. An answer says when the Gram spectrum of a learned representation predicts that the processes carrying its features will coexist, and what else, such as supply, task distribution or evaluation opportunities, has to be fixed for it to. | Open |
| QUESTION-147 | In a second system of near-identical units on a known graph, are the synchronized clusters the symmetry orbits computed in advance, and does each cluster desynchronize in isolation where its own transverse block predicts? | The empirical condition formerly in THEORY-276’s promote_when. On 2026-10-19 THEORY-276 was promoted: that symmetry orbits are flow-invariant synchronization clusters, and that a cluster whose own factor moves nothing else can desynchronize while the others stay synchronized, was checked by a fixed-point-subspace derivation. Whether the stability predictions hold up in a second physical or biological system, as the record’s use of this result as a coupling signature (QUESTION-063) needs, rests on one 11-node experiment. | Open |
| QUESTION-169 | On a contested shared canvas, do lasting artworks as a population receive sustained overwrites and repairs, and does adding interaction features make coalition survival predictable early? | The promotion condition formerly on THEORY-216, moved here when THEORY-216 was narrowed to what Wu and Silva measured on the 2017 r/place log and promoted on 2026-10-19 (ADR-047 v3). LIT-1032 shows persistence under attack in ten illustrated lifecycles and low early predictability from four coalition-state features. How common the first is, and whether the second is in the dynamics or in the feature set, are untested. | Open |
| QUESTION-170 | When no single setting of a regulator is stable in every environment it may meet, must any system that comes to keep its essential variables within limits carry a channel from those variables to the parameters of its regulation, whether or not it adapts by trial and error? | Filed when the promotion audit (batch 032, ADR-047 v2) narrowed and promoted THEORY-324. Ashby’s necessity was re-derived for systems that follow the trial-and-error rule, where it is close to definitional. The former promote_when asked it of any system that comes to keep its essential variables within limits, which is wider. This question holds that wider form. | Open |
| QUESTION-172 | Does a transient change to one regulator, released with the environment held fixed, leave a bacterium’s other genes in a changed expression state for many generations once slow return is excluded? | The promotion condition formerly on THEORY-178, moved here when THEORY-178 was narrowed to the Boolean model ensemble it was shown in and promoted on 2026-10-19 (ADR-047 v3). LIT-854 predicts lasting expression changes after a transient single-gene perturbation of E. coli’s regulatory core, but no such perturbation has been done in cells. Filed under the nucleating-argument line because CLAIM-184, the claim that grounds on THEORY-178, reads it as evidence about what a lasting state needs. | Open |
| QUESTION-201 | Do random patterns stored by the Hebbian outer-product rule stay attractors with basins of nonzero width up to a load near 0.14N at large N, does recall then collapse for every pattern at once, and at what overlap do two stored patterns fuse? | The promotion condition formerly on THEORY-272. THEORY-272 was narrowed to Hopfield’s 1982 simulations at N = 30 and 100 and promoted on 2026-10-20 (ADR-047 v3). Whether the capacity, collapse and fusion it measured hold at large N is open. | Open |
| QUESTION-203 | How does the average degree of the S¹ hidden-metric model flow under geometric coarse-graining when the closure fails between nearby supernodes, and does an exact ν(γ, β, r) confirm or move the phase boundaries γ = 3 and β = 2? | The degree-flow part of the promotion condition formerly on THEORY-190. THEORY-190 was promoted on 2026-10-20 (ADR-047 v2) narrowed to what was proved: the coarse-grained link probability tends to the S¹ form as the supernodes’ separation grows, and exceeds it between nearby supernodes. The source’s flow of ⟨k⟩ as r^ν, and its phase boundaries, rest on the closure holding at every separation and on a power-law approximation. | Open |
| QUESTION-218 v2 | Can a collective mode that is dynamically closed, but is not a weakly coupled block of the units carrying it, be one system, and if so what should a boundary test take as the unit: a subset of members or a function of the whole state? | A5 of the exchange of 2026-10-19 on coarse-to-fine processes, its candidate Q2: “Does organizational unity require a subsystem boundary, or can it arise from a dynamically closed collective mode distributed across multiple otherwise entangled subsystems?” CLAIM-388 shows the two come apart; CASE-120 is the construction. The question is which of them the record’s “one system” should track. | Open |
| QUESTION-219 | Can a persistent pattern of transfer through a system, kept while its constituents are replaced, pick out a unit that neither a block test nor a closed collective mode finds, and what separates such organized throughput from mere transport? | A3 and A5 of the exchange of 2026-10-19 on coarse-to-fine processes, A5’s candidate Q4. Turbulence has scale-local transfer across a range of interacting scales with no split into weakly coupled blocks (Eyink and Aluie, registered unread). A5 distinguished containment, mode and flux as three kinds of organization, and warned that persistent flux alone, as through an inertial range, is not an individual. The record holds dissipative structures (THEORY-072, THEORY-532, CLAIM-273, QUESTION-085) but has not set flux beside its block and closure tests. | Open |
| QUESTION-221 v3 | Does near-decomposability bound dynamical dependence: when the coupling into a block from the rest of the system is at most ε, is the dynamical dependence of the block’s aggregate small to a stated order in ε? | A5 of the exchange of 2026-10-19 on coarse-to-fine processes, its candidate Q1 and its “most valuable near-term result”. THEORY-661 says near-decomposability gives approximate closure of block aggregates over the long run, by coupling strength, and THEORY-733 characterizes exact closure for linear Gaussian VARs. No entry bounds the one by the other. CLAIM-388 shows that the converse fails: a closed aggregate need not be a weakly coupled block. | Open |
| QUESTION-222 v4 | Beyond the scalar linear Gaussian case and the deterministic case of a fast, contracting eliminated variable, when a coarse variable’s reduced dynamics carry memory of the eliminated variables, does it admit a finite-dimensional Markovian augmentation whose prediction error is bounded in terms of the eliminated dynamics, and is a level whose history, not its present state, does the predicting still a level? | A3 and A5 of the exchange of 2026-10-19 on coarse-to-fine processes, A5’s candidate Q3. The Mori–Zwanzig decomposition writes any projected dynamics as a Markovian term, a memory term and noise. The record holds no reading of it. Its criteria of closure (THEORY-257) condition on the coarse variable’s own history, so memory is not by itself a failure of them, and CLAIM-327 already locates a collective in a variable members read from the past. | Open |
| QUESTION-223 | Is Ince’s common change in surprisal a correct redundancy measure: is it continuous, does it agree with a redundancy fixed by mechanism where rivals with non-negative atoms do not, may unique information depend on the source-source marginal, and can a modified sign rule restore subset equality? | Filed when the promotion audit (batch 056, ADR-047 v2) corrected and promoted THEORY-714. What I_ccs is and which axioms it keeps is now settled, including that it fails subset equality. Whether it is the right redundancy measure is not: that was the old promote_when, and it moves here. | Open |
| QUESTION-229 | Does the critical delay of a delayed random Lotka–Volterra community still fall with diversity when self-regulation is weak and interactions set the leading eigenvalue, is its Hopf bifurcation supercritical, and is the divergent phase reported past it real under a stiff delay-equation solver? | The delay-half promotion condition formerly on THEORY-548. THEORY-548 was narrowed and promoted on 2026-10-20 (ADR-047 v2 for the critical delay, v3 with a re-run against an averaging null for the variability). What it does not settle: the weak-self-regulation regime, whether the Hopf bifurcation is supercritical, and whether the divergent phase is real. | Open |
| QUESTION-239 | In the linearized operator model, is scoring operators against predictions committed before the evidence equivalent to Regime B’s independent scoring? | The formal sub-question QUESTION-121 asked of its third candidate, commitment before evidence. Split off under ADR-049 and answered No by CLAIM-340. The coupling of interpretation to endorsement is γ = 4ηs(κ′ − κ̄), so commitment removes capture only when the interpretation bends the reading of the evidence no more than it bends the predictions. Which source in one mind does the scoring stays with QUESTION-121. | Answered |
| QUESTION-241 | In the coupled meaning–influence model linearized at its symmetric state, when is the symmetric state unstable, and does scoring endorsement independently of the interpretation remove the instability? | The linear part of QUESTION-100, split off under ADR-049 and answered by CLAIM-330. With each field stable alone and nonnegative couplings, the symmetric state is unstable exactly when βγ > (1 − α)(1 − δ). Only the loop can destabilize it, and independent scoring (γ ≈ 0) removes the instability. The nonlinear regime, and whether capture costs fidelity, stay with QUESTION-100. | Answered |
| QUESTION-242 | Does exact dynamical closure of an aggregate require a nearly decomposable block, or can a collective variable be exactly dynamically independent when no partition of the units is weakly coupled? | The converse half of QUESTION-221, split off under ADR-049 and answered by CLAIM-388: closure does not require a nearly decomposable block. In a linear Gaussian VAR(1) with uniform coupling, the sum of all units is exactly dynamically independent at every stable coupling strength, while every partition couples as strongly across its edges as within them. The forward bound stays with QUESTION-221. | Answered |
| QUESTION-248 | In a stable linear Gaussian VAR(1), does a scalar linear coarse variable whose reduced dynamics carry memory admit an exact finite-dimensional Markovian augmentation? | QUESTION-222 for the linear Gaussian class, split off under ADR-049 and answered by CLAIM-398. Yes: a scalar coarse variable Y = LX of a VAR(1) on ℝⁿ is an ARMA process of orders at most (n, n − 1). Its Mori–Zwanzig memory is non-zero at every lag in general, but finitely many coordinates, built from Y’s own past and innovations, carry it exactly. Other classes, error in terms of the eliminated spectrum, and the ruling on levels stay with QUESTION-222. | Answered |
| QUESTION-252 v6 | For the conditions an effective description is asked to meet (predictive sufficiency for a declared target, dynamical independence of the omitted variables, memory closure under a declared projection, approximation fidelity in a declared metric and horizon, and tractability within a declared budget), which can fail while all the others hold, and which such configurations are impossible in which model classes? | The owner’s idea at U3 of the exchange of 2026-10-20: “what if we censor or negate each virtue one at a time? that reduces our combinations from n! to n.” A3 corrected the count (2ⁿ presence/absence configurations, not n!) and fixed five conditions, asking whether each leave-one-out case is realizable: “An impossible configuration is itself a substantive result.” The record holds pairwise non-implications only, none a leave-one-out witness: CLAIM-389 gives zero memory without independence in VAR(1), CLAIM-304 retention without feasible recovery. A4 and A5 then found that some conditions are parameters rather than conditions (CLAIM-401); that part is QUESTION-324, Answered. The same form as QUESTION-093 and QUESTION-115, on a new list. | Open |
| QUESTION-253 v5 | In the coupled meaning–authority model, is authority’s effect on what becomes legible as evidence a third channel beside β and γ, a slower variable with an instability condition of its own, or is it already the commitment regime’s κ′, how far the prevailing interpretation bends the reading of the evidence? | A22 §4 of the exchange of 2026-10-20, on the owner’s U22 (legibility): “Authority can affect not merely how evidence is interpreted, but which facts become legible enough to count as evidence at all.” A22’s own caption: “The additional legibility layer is not a separately validated dynamical model.” The record’s model has two arrows (CLAIM-330) and a weight on the reading of evidence (CLAIM-340). This asks whether legibility adds a third state or renames the weight. It is the place where the record’s mathematics can test the owner’s new concept. | Answered |
| QUESTION-262 v4 | When cooperation across a relation’s prevailing perspective changes how one party takes the other, does it change only the state of that party’s interpretive organization or also its coupling, how far outcomes may revise the governing interpretation, and can taking part be told experimentally from receiving information of equal favourable content? | From the exchange of 2026-10-22, “Ben Franklin Effect Explained”, A5: “One could ask whether a perspectival invitation changes only the initial state of the system, or also changes the coupling parameters”. It refines the first half of QUESTION-259, how perspectives are generated and transformed, to one mechanism, CLAIM-430’s invitation, and one distinction, CLAIM-429’s state against coupling. | Open |
| QUESTION-273 v2 | With one population of perspectives, do the three ways of giving them influence that the owner proposed (neighbourhoods in a space whose radii others can change, a shared channel into which they emit at rates, and a budget of passes or locations at which each may act on a common representation) produce different collective decision regimes, and how far does each mechanism’s nominal resource predict the counterfactual influence a perspective actually has? | The owner, at U33 of the exchange of 2026-10-24, continued. It is the third appearance of the owner’s own model: on 2026-10-13, U1 was “a population of denoisers, each of which has different reach, salience valuation, translation (motion across canvas) rate, influence strength” and U2 the influence canvas (CLAIM-285, TERM-053). Here three mechanisms are named. A33, A35 and A36 each took influence to be control over opportunities to modify a shared state, and separated nominal access, its use and its counterfactual effect. The owner took up the build from U37. | Open |
| QUESTION-281 | By which dynamical transitions do the distinctions individuation needs come into being and pass away (instability that amplifies small differences, nucleation across a finite barrier from a locally stable state, bifurcation of the set of attractors, noise- or rate-induced tipping), and are a form’s creation, its stabilization and its coming to have a constitutive role three separate achievements? | The owner’s U14 of the exchange of 2026-10-27: “does this elucidate other work we should account for? maybe in the neighborhood of dynamics? bifurcation/catastrophe theory? far from equilibrium dynamics? pattern formation?” A14 found the record well stocked on Turing, Prigogine and Cross–Hohenberg and named the gap as what comes after an instability. It ended on “the mechanisms that create a form, the mechanisms that stabilize it, and the mechanisms through which it acquires a constitutive or autonomous role. Those may turn out to be three different achievements.” The record’s individuation claims say when a form is one system and how long it lasts (QUESTION-035); none says how it begins or ends. An answer names, for a stated system, the transition that made the form and the one that would unmake it. | Open |
| QUESTION-282 | Under what conditions do interactions change the physically operative correspondence structure among systems (the compatibility operator itself, not only the states it relates), rather than merely reveal it to a measurement or redescribe it in a model? | Raised at the owner’s review of the pull request that filed the exchange “Field Existence Question”, which called it “one of the genuinely unfinished parts of the program”. The formal results the record now holds take the correspondence structure as input. A sheaf’s restriction maps, a gauge connection, a port condition and a Laplacian are given, and the mathematics says what follows. CLAIM-471’s strong thesis is that interactions can make or change that structure. Only one model the record has read changes it through interaction, and there agreement is reached by learning to lie. The question asks for conditions under which the operative structure changes, with a way to tell that change from discovery and from redescription. | Open |
| QUESTION-287 | In a deterministic singularly perturbed system whose eliminated variable is fast and contracting and whose reduced system is contracting, does the memoryless quasi-steady-state reduction predict the coarse variable with an error bounded uniformly in time in terms of the eliminated dynamics? | The fast contracting case of QUESTION-222, split off by the status review of 2026-10-27 under ADR-049, because THEORY-773 (Active) settles it. No memory coordinate is needed: the reduction on the slow manifold stays within O(ε) of the true slow trajectory for all t ≥ 0, with every constant explicit, set by the fast contraction rate λ_z, the reduced contraction rate λ_x and the manifold’s drift. | Answered |
| QUESTION-292 v2 | What evidence would show that a maintaining link, and not a regime’s content, keeps a disorder in place: does the efficacy of a treatment that targets the link count, or only change in the link that is specific and comes before the outcome? | The evidential part of QUESTION-045, split off by the status review of 2026-10-27 under ADR-049, because THEORY-053 (Active) settles it. A treatment’s efficacy is not evidence for its theory of change. Only change in the theorised process that is specific and comes before the outcome bears on it, and moving the process without moving the outcome counts against the theory. | Answered |
| QUESTION-306 | Across many artworks of one crowd-built canvas, do placements follow revisions of each artwork’s design made or approved by a small identifiable set of accounts, rather than the designs recording what placers had already done, and does the coordination record assign to other groups placements that a behaviour-only method gives to one? | The promotion condition formerly on THEORY-218, moved here when the tenth status review narrowed THEORY-218 to the one artwork it studied and promoted it, as THEORY-285’s moved to QUESTION-303. The case study shows design led the canvas for one artwork; whether that holds across a canvas, and with how small a core, is this question. | Open |
| QUESTION-319 | Where an organization’s parts are related by transports established independently of the analysis, and those transports have nontrivial holonomy, is the holonomy an error the organization tends to remove, or a persistent feature it maintains, and does its pattern predict the organization’s response to intervention beyond what its pairwise relations and its dynamics predict? | From A2 §5 of the exchange “Paper assessment” (2026-10-28 to 29), which inverted LIT-1820’s use of holonomy as an error signal: “What if it is a persistent feature of the organization itself?” It is QUESTION-130’s question asked of organizations, not of evaluative contexts, and its first objection is the same: the transports must not be chosen. An answer needs transports derived from measurement, their holonomy followed under perturbation, and a test against matched systems whose holonomy differs. | Open |
| QUESTION-320 | Do the precursors of abrupt overthrow found for crowd-maintained images on r/place (plural, partly the defenders’ restoring, accepting and coordinating, and absent for many overthrows) hold in a second collectively maintained system with its own record of attacks and repairs? | The promotion condition formerly on THEORY-214, moved here when the twelfth status review narrowed THEORY-214 to what Falmagne, Stephenson and Levin measured on r/place and promoted it, as THEORY-216’s moved to QUESTION-169. Both of their test sets are r/place, and the social readings of the precursors are the authors’ conjecture from SHAP curves. | Open |
| QUESTION-324 | Are the conditions an effective description is asked to meet (predictive sufficiency, dynamical independence, memory closure, approximation fidelity, tractability) of one logical kind, or are some of them parameters of the regime under which the others are assessed rather than conditions in their own right? | The last clause of QUESTION-252, split off by the thirteenth status review under ADR-049 because CLAIM-401 (Active) settles it: they are not of one kind. Predictive sufficiency and approximation fidelity are adequacy relative to a declared target, metric and horizon; tractability restricts the operations under which adequacy is assessed; dynamical independence and memory closure are relations of the representation to the system, memory relative to a chosen projection. Which conditions can fail while the others hold, and which configurations are impossible in which model classes, stays QUESTION-252’s. | Answered |
| QUESTION-337 | Does payoff-driven phase synchronisation still form along the strong couplings, and still turn those groups into units that switch as one, when modules overlap or constraints are frustrated, or when entrainment runs through the units’ outputs rather than a payoff gradient on phase? | The promotion condition formerly on THEORY-265, moved here when the sixteenth status review promoted it on ADR-047’s ruling on one study. The model was run on one clean game; whether the mechanism survives overlap, frustration or output coupling is open scope nobody asserts, and it is this question. | Open |
| QUESTION-341 | On two-scale Lorenz 96 at ε = 0.5, K = 18, J = 20, F = 10, h_x = −1, h_y = 1, does a NARMAX discrepancy closure whose structure is chosen by a rule fixed before scoring still match the full system’s x₁ statistics (Kolmogorov–Smirnov distance) and beat a polynomial-plus-AR(1) closure on lead time at anomaly correlation 0.6, at δ = 0.05? | The promotion condition formerly on THEORY-818, moved here when the status review of 2026-10-30 promoted it under ADR-065. Chorin and Lu chose the closure’s orders by trial and error against statistics they then report; whether the result survives a selection rule fixed in advance and an independent rerun is this question. | Open |
| QUESTION-342 | In an independent replication of the 2 × 2 removal of shared music and of visual contact in dancing dyads, or a reanalysis of the public data under another movement decomposition, do the music-driven and partner-driven components stay distinct with an equivalence test bounding their interaction near zero, and does a temporal measure other than periodicity (phase lags, directional measures) still fail to tell them apart while a spatial one succeeds? | The promotion condition formerly on THEORY-891, moved here when the status review of 2026-10-30 promoted it under ADR-065. The direction of the partner-driven coupling stays outside it, as the old condition said. | Open |
| QUESTION-358 | Does an independent computation of the linearized plane Couette and Poiseuille operators in the energy norm reproduce transient growth of order R, resonance of order R² and a minimal destabilizing perturbation of order R⁻², with leading constants near those of Trefethen et al.’s Table 1? | The promotion condition formerly on THEORY-304, moved here when the status review of 2026-10-30 promoted it under ADR-065. The lower bounds are CLAIM-383’s derivation; the upper orders and the constants rest on one computation (LIT-932, read in NOTE-839). Reddy & Henningson (1993) and Schmid & Henningson’s monograph are the obvious independent sources, unread. | Open |