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.
Individuation — what makes something one thing, and the same thing over time or across descriptions — individuation, numerical identity and diversity, individuality and persistence of things of any kind, biological individuality and organisational closure. Selves are self and persons are personhood (group: philosophy; ADR-015, ADR-024).
31 of 191 CASE documents. Back to the full index.
| # | Title | Summary | Status |
|---|---|---|---|
| CASE-045 v4 | Measuring the dancing couple: is the pair a nearly decomposable block during the dance and not after it? | A proposed study, not run. Motion-capture several couples dancing an improvised partner dance to recorded music, and record the same people standing and talking after the song. Fit a linear model to the joint kinematics, with the music’s beat as an exogenous input. Then ask whether the pair is a block whose gap beats its Occam factor during the dance and not after, whether it compensates under a perturbation, and whether the coupling runs both ways. | Active |
| CASE-054 v2 | Joking relationships: one kind among the Crow and in Africa with no route between them, descended between Crow and Hidatsa, and a transported tale beside them | Radcliffe-Brown defined the joking relationship as one comparative kind and placed the Crow joking-relative and Dogon and Thonga joking in it; no historical route joins the Crow to West or South-East Africa. Lowie records the same institution among the Hidatsa, a division of the Crow’s parent tribe, and Tehrani’s phylogeny confirms an Ibo “Little Red Riding Hood” as an oral translation of the European tale. Kind without transport, kind with descent, and a transport, on documented material, for CLAIM-210. Partial: independence is a fact of geography no source states, and the kind is an analyst’s. | Active |
| CASE-057 | Swapping the two persons of a dyad: nonreciprocal T/V address is changed by the swap and reciprocal address is not, with a constructed French–English dyad and a three-person teasing round | Built on a documented distinction. In Brown and Gilman’s account of T/V address, power address is nonreciprocal (the superior says T and receives V) and solidarity address is reciprocal, so swapping the two persons changes the first act and leaves the second fixed. Two constructions extend it. A master-and-servant dyad in French and in modern English is changed by the swap in one realization and fixed by it in the other. A three-person teasing round gives a group whose automorphism can swap characters, so the anchoring of CLAIM-249 has work to do. | Active |
| CASE-060 | Two identical unnumbered ballots in one tally: two votes that no relation in the structure of the vote tells apart | Constructed: two voters each put a single cross for the same candidate on identical, unnumbered ballot papers in one box, and both are counted. Within the relations that make a paper a vote, each bears the same relations to everything and none to the other, so they are not even weakly discernible, yet the count is two. Anchored on a documented norm that voids any paper marked so that the voter can be identified (UK RPA 1983, Sch. 1, r. 47(1)(c)). It forces the choice between CLAIM-136’s strict and weak versions, and bears on CLAIM-138. | Active |
| CASE-076 | Twin pattern-keepers: two systems keep the same pattern, one by its own responses and one through an external controller, and only removing the controller tells them apart | A10 §3.3’s paired design, the case behind QUESTION-086. Matching behaviour and persistence, different organization. Removing the controller destroys one system’s pattern and not the other’s. A10 then made it harder: the internal regulator at one scale is supported by other processes at another, so which side of the boundary the controller sits on depends on where the boundary is drawn. | Active |
| CASE-098 v2 | A long rivalry between two teams outlives every player, owner and supporter who first carried it: new fans inherit the antagonism, its history and its practices before they know why the game matters | From U2 of the exchange of 2026-10-16 on sports fandom (the owner’s list of subcases). A2’s reading: a mature rivalry is “a reproduced intercollective relation”, carried by families, media and fan culture, that can survive the replacement of everyone on both sides. Stipulated: the record has no study of a particular rivalry. It shows a relation with its own continuity; it does not show that the relation is a system, an agent, or constitutive of either fandom. | Active |
| CASE-101 v3 | Three simulated populations with the same turnover and the same aggregate statistics: one whose members respond alike to a common input, one that transmits its norms to its replacements, and one held together by an institution that selects and trains its members | Proposed three times in the exchange of 2026-10-16 (A11 §9, A12 §7 and A13 §5), as the place where criteria of individuality should disagree: Krakauer et al.’s temporal measures, Barnett and Seth’s dynamical independence, Hoel’s effective information and the block criterion of CLAIM-157. The common-input arm is Bourrat’s “reconstructed entity” (LIT-005), which the record already holds and the exchange did not cite. Not run. | Active |
| CASE-102 v2 | A college program stays good, or bad, at a sport for decades while its whole roster turns over every four or five years | The owner’s case, U3 of the exchange of 2026-10-16: “the team composition experiences extremely fast churn, and yet in spite of this real world ship-of-theseus situation, teams often maintain standing on similar timescales as professional teams (if not longer)”. A3: it separates the persistence of a collective’s identity from the persistence of its capacities, and the second needs a mechanism that regenerates them in each new population. Stipulated: the record holds no data on program persistence. The proposed test is residual persistence of performance across seasons with no player overlap. | Active |
| CASE-105 | The Washington Senators: the original club became the Minnesota Twins in 1961, an expansion club took its name in Washington and became the Texas Rangers in 1972, and the Montreal Expos became the Washington Nationals in 2005, so franchise, city and supporters each have a different successor | The owner’s subcase at U2 of the exchange of 2026-10-16, “the team formerly known as the washington senators”. A2 corrected the framing: the name belonged to two franchises, and the city’s present team descends from a third. A league can designate the successor franchise; it cannot designate the successor fandom. The lineages are documented; how supporters actually distributed their loyalties is not, and the case does not show that a fandom’s identity branched. | Active |
| CASE-111 | A fold in boundary maintenance: in ḃ = μb + κb² − b³ with cooperative repair (κ > 0), an unmaintained and a maintained state are both stable for −κ²/4 < μ < 0, so maintenance lost past the fold is not restored by returning the parameter, and recovery slows to zero as the fold nears | A7 §4 of the exchange of 2026-10-17, after the owner’s “flesh this out further”: a normal form for the activity b that maintains a boundary, in which repair processes reinforce one another. Its equilibria, the bistable range, the hysteresis loop and the slowing of recovery at the fold are derived and rechecked here. It shows a capacity to maintain, and not only a state, being lost and not coming back when conditions do, which is CLAIM-099’s distinction in a model. A7’s own caveat: “This is a proposed minimal model, not an empirical fit.” THEORY-136 and THEORY-214 say why its early-warning consequence is weak evidence. Fictional by construction. | Active |
| CASE-115 | Two incompatible quadratic demands on one shared parameter, L₁ = (θ − 1)² and L₂ = (θ + 1)², frustrated at θ = 0 for every update budget, and the split of θ into task-routed θ_A and θ_B that makes both satisfiable | A33 §2 and §5, A35 §3.4 and A38 §4 of the exchange of 2026-10-17. Two demands on one scalar parameter: at θ = 0 the equal-weight gradient vanishes while each loss is 1, no update lowers both, and the local residual is Φ_r = ε for every budget r. A38 splits θ into θ_A and θ_B with the task context routed, and both demands are met at (1, −1). Used for the zero aggregate gradient, the residual, relief judged on the original demands, and differentiation. A38’s caveat is kept: the split is “a division of functional jurisdiction”, and it “does not automatically mean that two new autonomous individuals have formed”. Fictional by construction. | Active |
| CASE-116 | Three finite-state systems that dissociate slowness, member regeneration and transmission: a slow flip register no member reads (second eigenvalue 0.98), a register members read and rewrite that forgets fast (second eigenvalue 0.2, nonzero intervention effect), and a rule passed through an archive between two episodes that never run together | A3 and A4 of the exchange of 2026-10-17, after the owner’s “continue” and “show me”. Arm A is slow and not endogenous; arm B is endogenous and not slow; arm C transmits a rule with no continuous operation. The eigenvalues and intervention effects are rechecked here. Arm A shows what CLAIM-327 and CLAIM-331 already say in words, that slowness is not sufficient; arm B is the new direction, that slowness is not necessary, and it holds only for weak maintenance, in A4’s words. Arm C is CLAIM-287’s dormant coalition and does not settle identity. Fictional by construction. | Active |
| CASE-120 | Six units with uniform coupling, A = αI + β(11ᵀ − I): their sum is exactly dynamically independent at every coupling tried, while a single unit and the sum of three are not, and no grouping of the units is a weakly coupled block | The n-unit form of A5’s two-unit example in the exchange of 2026-10-19 on coarse-to-fine processes. The sum closes exactly; no proper group of units is a block. It is the closure-without-block cell of A5’s two-by-two table, and the system QUESTION-218 would test for compensation and entrainment. Fictional by construction. | Active |
| CASE-121 | One melody from a 1951 gospel record to a 2005 Katrina protest song: “I’ve Got a Savior”, “I Got a Woman”, “Gold Digger” and “George Bush Doesn’t Care About Black People”, each link a different relation, the message turned at every step | Boyle’s chain in The Public Domain, ch. 6 (LIT-1301). The Bailey Gospel Singers’ “I’ve Got a Savior” (c. 1951), reworded by Ray Charles as “I Got a Woman” (1955), re-sung by Jamie Foxx as the licensed hook of Kanye West’s “Gold Digger” (2005), looped from that recording by The Legendary K.O. for a Katrina protest song. The melody and phrase pattern carry through; the object of praise turns from a saviour to a generous woman, a mercenary one, then a president’s indifference. Each link is a different relation: rewording, licensed re-performance, sampling. The received origin story was wrong, and the melody found the real source. | Active |
| CASE-126 | Represented, authorized, self-authorized and self-maintained: three one-bit systems that agree while the interpretation is 0 and part under an intervention that sets it to 1, and two two-constraint systems with the same constant trajectory, one closed and one reset from outside, that part under one perturbation | A10’s two constructions in the exchange on experience and interpretation, re-run here by script. Neither depends on parameters. The first separates whether an interpretation is acted on and who decides that it is. The second separates whether the conditions of acting on it are kept up by the organization or by something outside it. Fictional by construction, with production relations stipulated, not shown. | Active |
| CASE-130 v2 | Gracie jiu-jitsu against luta livre: two Brazilian grappling traditions whose contests were fought over the rules as well as under them, and whose matches placed them in a racial hierarchy as well as ranking them by results | The owner’s case at U35 of the exchange of 2026-10-22: contemporaneous, geographically related schools of martial arts vying for regional, ideological, demographic and physical dominance. A35 and A36 took the Gracie–luta livre rivalry, from Penglase (LIT-1391). It is the record’s first martial-arts material. Not shown: which tradition was technically better, which the case is evidence against asking in general; and the historical particulars, which are the replies’ summary of an unread source. | Active |
| CASE-133 v2 | American party realignment: each major party kept its name and organizational continuity across the twentieth century while its coalition and its stance on civil rights changed, and the change began in state parties, unions and constituencies before it reached national leaders | The owner’s case at U29 and U30 of the exchange of 2026-10-22, in the replies’ corrected form. A party is a carrier; its coalition and character can change while the carrier persists, and an orientation can move between carriers. Not shown: that the parties swapped perspectives, or that any present party continues a historical one’s character, which are the owner’s U29 framings the replies declined. | Active |
| CASE-134 v3 | Northstar’s commander handoff: twelve hours into an incident the commander goes off shift and hands command to a colleague, and the response continues without disruption and with no one continuous through it | A22’s variant of Northstar (CASE-023), from the exchange of 2026-10-22, where the owner asked to revisit the engineering organization responding to a critical incident. Of the six variants A22 proposed it is the one the record did not already hold. It separates continuity of an organization from continuity of any person in it. Not shown: anything about whether the response is experienced. | Active |
| CASE-139 | Chinese martial traditions through the Cultural Revolution: practices restricted, teachers persecuted and teaching driven underground, then after 1978 a reconstruction of Shaolin martial arts through heritage policy and tourism in which local practitioners and authorized institutions dispute who carries the tradition | The owner’s case at U37 of the branch of the exchange of 2026-10-22: the “(various) perspectival interruption(s) caused by the Chinese Cultural Revolution”, near the record’s martial-arts material (CASE-130). A case family, not one example: skills that survived in bodies while teaching became dangerous; practices that persisted under a different organization of authority; survival in marginal carriers; and a reconstruction that became a source of authenticity. Not shown: what was continuous and what was rebuilt, which is the question it raises. | Active |
| CASE-148 | Perspective transplantation: two populations matched in behaviour exchange different combinations of learned interpretive rules, specialist parameters, training histories, institutional rules and shared memory, and are then set where the transferred parts disagree with their new surroundings | Proposed at A4 of the exchange of 2026-10-23, “Framework Overview Request”, as an extension of CASE-101. It asks which components carry a perspective’s characteristic organization when it moves between carriers: CLAIM-417’s realization, character and lineage, tested by transfer. A4: “No transfer experiment can settle numerical identity merely by demonstrating causal continuity.” Not run. | Active |
| CASE-165 v4 | A dynamic beta–Bernoulli latent-feature model of an organization’s members: a finite Indian buffet prior over who holds which interpretive features, a sticky logistic transition for holding them, activations, and team, communication and authorization layers above; at the proposed size of sixteen features it falls well short of the Indian buffet process it quotes, its persistence term does not hold rare features, and the difference between having a capacity and using it is not identified from the outputs | The owner’s T22 (“maybe we could benefit from a restaurant process model, like an indian buffet model”), developed at T23 (“flesh out our proposed generating probability model further”) into a full generative specification for the Northstar firm, and carried to transformer training at T24. It is the candidate method of QUESTION-276 in its most worked-out form. Its facts are its definition, and four of them are not what T23 says: at K = 16 the prior expects 6.83 features, not αH₁₂ = 9.31; a held rare feature is kept with probability 0.16 a day; and having, using and splitting features are confounded in the reconstruction. It shows what such a model would have to get right before its features could count for anything. | Proposed |
| CASE-166 | Northstar as a multilevel simulation: twelve employees with fixed frames in four departments form overlapping working groups that keep records and can receive delegated authority; as reported, a working group with delegated authority ties a conventional router given the same information and authority, nearly all of its advantage over departmental silos comes from fast authorization, and keeping the incident team’s records through a commander handoff improves the company’s estimate of its own state about eightfold while barely changing what it does | The owner’s idea at T18 of the exchange “Experimental Infrastructure Review”: “maybe employees are “pre-perspectives” or sub-perspectives, which can reorganize amongst themselves to form the perspectives that influence the higher level organizational behavior”. T19 designed it and T20 reported running it as “PerspectiveLab v2.11 — Northstar”. It is Northstar (CASE-023) with CASE-134’s handoff as one arm, and it adds the contrast CASE-134 lacks: the team’s records kept or erased. The page carries no files and the lab holds no v2.10 or v2.11, so every number is reported, not reproduced. Not shown: that any organizational perspective emerged, which T20 itself denies. | Proposed |
| CASE-167 v2 | The nitroplast: UCYN-A, a streamlined nitrogen-fixing cyanobacterium in a marine alga, whose division is coupled to the host’s and which imports host-encoded proteins, reclassified as an early-stage organelle in 2024 | Candidatus Atelocyanobacterium thalassa (UCYN-A), a metabolically streamlined nitrogen-fixing cyanobacterium known as an endosymbiont of a marine alga, is integrated into the alga’s cell architecture and organellar division and imports proteins encoded by the algal genome. Coale et al. call it an early-stage organelle, the nitroplast (LIT-1562). Used as the case where the line between endosymbiont and organelle is drawn by stated criteria. | Proposed |
| CASE-168 v2 | Monocercomonoides: a eukaryote that lost its mitochondrion entirely after the organelle’s essential jobs were removed in steps, its Fe–S cluster assembly taken over by a bacterial-type SUF system that its relatives share and its glycine cleavage system lost, and kept canonical eukaryotic complexity | The oxymonad Monocercomonoides lacks all hallmark mitochondrial proteins; its mitochondrial iron–sulfur cluster pathway was replaced by a cytosolic SUF system taken from bacteria, and the loss was secondary (LIT-1567). Its genome otherwise shows canonical eukaryotic complexity (LIT-1574). Used as the negative control: loss of function dissolving an integrated compartment, not deepening dependence on it. | Proposed |
| CASE-169 v3 | The Chagossians, 1965 to now: a people expelled from the Chagos Archipelago between 1967 and 1973 for the Diego Garcia base, dispersed to Mauritius, the Seychelles and Britain, whose practices, kinship and political organization continued or arose in exile while sovereignty over the islands was settled between states | The owner’s case, U1–U3 of the exchange of 2026-10-26, “About the Chagossians”. Britain separated the archipelago from Mauritius in 1965, expelled its inhabitants by 1973 for a US base on Diego Garcia, and the islanders’ descendants live dispersed across three countries. The ICJ advised in 2019 that decolonization was incomplete; a UK–Mauritius treaty of 2025 would cede sovereignty and keep the base. A case in which territorial community, cultural transmission, political agency and the claims of the displaced, ordinarily bundled, were pulled apart by identifiable decisions. Not shown: that the Chagossians are one persisting agent, or which practices survived; the sources are registered unread. | Active |
| CASE-171 v3 | Mealybugs, Tremblaya and Moranella: a bacterium inside a bacterium inside an insect, amino-acid pathways patched together from three genomes and genes transferred from other bacteria, and an inner symbiont replaced several times while the transferred genes stayed | In the mealybug Planococcus citri, Moranella lives inside Tremblaya. Essential amino-acid pathways need gene products from both bacteria and the insect (LIT-1565). At least 22 genes the insect acquired from other bacteria, none from Tremblaya, fill symbiont gaps (LIT-1569), and the inner symbiont has been replaced several times across mealybugs while those genes persisted (LIT-1572). Used as the case where function is distributed across nested boundaries and constituent lineages turn over. | Proposed |
| CASE-173 v3 | Aphids and Buchnera: an obligate nutritional symbiosis in which neither partner reproduces alone, and the symbiont’s genome reduced to a seventh of E. coli’s | Buchnera lives in aphid bacteriocytes and is passed from mother to egg. Its 641-kb genome keeps the pathways for the amino acids its host needs and has lost most else (LIT-1596); its genes evolve fast and A+T-biased under Muller’s ratchet (LIT-1573). The record’s reading of Wilson and Barker reports Godfrey-Smith placing the pair as both an organism and a Darwinian individual (NOTE-114). Used as the case of high mutual dependence and high reproductive cohesion reached through reduction, with no gene transfer to the host reported in the works it rests on. | Proposed |
| CASE-174 v2 | Paulinella chromatophora: a photosynthetic organelle in the making, from an endosymbiosis independent of the plastids’, its genome reduced to about a third of its coding capacity, and hundreds of host proteins imported into it, most encoded by the host’s own genes rather than transferred from the symbiont | The amoeba Paulinella chromatophora’s chromatophores descend from a cyanobacterium taken up about 60 million years ago, independently of the plastids. Their genome kept 26% of a free-living relative’s genes and lacks essential pathways (LIT-1621). Genes transferred to the nucleus make proteins that are imported into the chromatophores (LIT-1557), and import is reviewed across systems in LIT-1560. Used as the case where host control emerges by gene transfer and import. | Proposed |
| CASE-176 v2 | The United States Institute of Peace, 2025–2026: its board removed and its building entered by DOGE staff with police assistance before any court ruled, nearly all staff dismissed, a district court’s judgment that the takeover was unlawful stayed on appeal, and the institution renamed while its legal identity continued | The owner’s case, U5 and U6 of the exchange of 2026-10-26: “examine the case of the US Institute for Peace through the lens of our framework”, then “the involvement of the DC metropolitan police and FBI, and the judge’s concern regarding the potential for police instigated violence in their ruling on whether or not to grant a TRO”. Name, building and legal entity continued; staff, programs, leadership and partner relations did not. And enforcement settled who held the building before any court settled who held the authority. Not shown: what was lost for good, or the legal outcome, which is pending. | Active |
| CASE-177 v2 | Hodgkinia in cicadas: one endosymbiont splitting into two to dozens of interdependent lineages, with near-complementary gene sets, idiosyncratic fragmentation in Magicicada, and hosts transmitting up to six times as many cells to keep every lineage | In some Tettigades cicadas, the endosymbiont Hodgkinia split into two cell lineages with almost perfectly complementary gene sets, the functionality of one (LIT-1563), and it has done so at least six times in the genus (LIT-1586). In Magicicada it fragmented into twenty or more genomic circles per species (LIT-1612, LIT-1602). Hosts compensate by transmitting more cells to each egg (LIT-1590). Used as the case where dependence and the number of parts grow with no new collective function, and the host pays. | Proposed |
| CASE-189 | Two constructions of a maintained organization: two constraints producing each other with saturating production and turnover hold a three-unit coupling, with a box invariant under damage up to 0.4, a saddle-node at damage 0.5 and extinction above it; and a transient encounter that forms a connector enabling that reciprocal production, after which the connector is maintained by what it enables, every single-pathway knockout ends it, and the regime ends in a saddle-node at damage ≈ 0.691 where the coupling’s gap is still ≈ 0.989 | From A9 §4, A10 §2–5, A11 §2–5 and A12 §2–6 of the exchange “Analyze nucleation concepts” (2026-10-31), after the owner’s “try to progress the theoretical program” and A10’s own “theorem target” pasted back at U11. Every number below was recomputed by the turns’ readers, with an independent integration, and the folds again by the filer. Fictional by construction, with illustrative parameters. A10’s chart had three wrong points, which A10 corrected itself. A12 called its fold “the first mathematical account of organizational birth, commitment, and death within Nucleation’s framework”; CASE-111 is the earlier one, and this is its variant with a coupling attached. | Active |