nucleation

CASE-161: Reciprocally produced, externally reset and feedback-only governing rules in a 32-member population: with ordinary trajectories identical, reciprocal production repairs the loss of one rule and not of both and fails after producer outages of 36 updates for audit and 40 for admission, after an audit-rule pulse the next audit integrity is 1.00, 0.18 and 0.00 in the three arrangements, and a self-dependent production graph does not regenerate a zeroed rule

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Properties11
StatusActive
Version2
Standingstipulated
Kindexecuted-study
Tagsself-governance, complex-systems, causality
Linedistributed-agency
IllustratesCLAIM-414 — Matched ordinary trajectories can conceal differences in an interpretation's efficacy, in the allocation of that efficacy, and in the maintenance of its enabling constraints: in two finite constructions, systems that agree under ordinary operation differ in each, and a specified intervention exposes the difference that passive observation of the matched trajectories does not
Variant ofCASE-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
VariantsCASE-163 — Identifying how governing rules are maintained from diagnostic probes: a predictor fitted under reciprocal production fails under self-dependent production with histories matched, an audit pulse with a short producer interruption identifies which of four known mechanisms applies and predicts withheld interventions, and fitting decay and threshold as well helps after the parameters shift and hurts at nominal ones, within a known catalog and with every probe run on a counterfactual reset
Cited as “grounds” byARG-025 — Matched ordinary behaviour and differing responses to intervention show that organizational perspectives explain what the record explained by self, ARG-036 — The lab's restricted models, whose predictions could have failed, support the shared-organization thesis, ARG-042 — The record's constructions of maintained correction show that self-maintaining organizations ought to preserve their corrigibility, CLAIM-456 — Maintaining a governing rule internally, by the organization's own reciprocal production, can be more fragile than having it reset from outside: arrangements identical in ordinary operation can differ in which losses are repairable, and the self-produced rule can be lost to a double loss or an interruption of the work that produces it which outside reset survives, CLAIM-532 — Self-formation, in the sense the record holds (the transformation dimension of a will-organization), is the production by an agent's own activity on a discrepancy it cannot yet resolve of a maintained capacity, a new distinction it can make legible or a new channel by which it can act, that outlasts the discrepancy and serves a class of later ones; it is told apart from learning an action by transfer to discrepancies of the same class after the inducing conditions are gone, and from a capacity installed or upheld from outside by interventions on the processes that produce and maintain it
Cited as “variant of” byCASE-186 — A proposed study: an organization in a world whose hidden regime reverses and then leaves its hypothesis family, with evidence generation, admission and scoring separately lesionable, its diagnostic machinery maintained by its own reciprocal production, from outside, or not at all, and finite fuel shared among operation, maintenance and diagnosis, to find whether a second correction after injury to the diagnostic and copying machinery separates arrangements that correct the first failure alike

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The case

The v1.3 population (32 networked perspectives, sampled cues, admission that depends on the record, practice) gains two rules that change how evidence is admitted and scored: audit integrity and admission integrity (dmarx/PerspectiveLab@7e2edc2 experiments/maintained_population/). They are kept up in one of three arrangements:

  1. External reset. Something outside restores them.
  2. Reciprocal production. Two fixed producer teams of members each produce one rule, each rule enabling production of the other. Audit decays fast and admission slowly (d_a = 0.18, d_b = 0.048).
  3. Feedback only. Use-dependent feedback, with no producers.

A fourth graph, in which each rule enables its own production, is a comparator. Every arm and intervention shares the same world and event streams, keyed by seed. The lab’s test requires the authority, competence and rule trajectories of the three arrangements to be identical when undisturbed.

Results, as stored

v1.6 (EXPERIMENT_REPORT_V16.md, results/), 48 seeds:

  • One rule zeroed once: reciprocal production restores both in 48 of 48, external reset in 48 of 48, feedback only in 0 of 48.
  • Both rules zeroed: reciprocal 0 of 48, external 48 of 48.
  • A producer team disabled for 80 updates: reciprocal loses both rules in 48 of 48. External and feedback-only are unaffected, since they do not depend on the producers.
  • Outage length, 24 seeds: the audit team’s outage is survived at 32 updates and not at 36; the admission team’s at 36 and not at 40. These are grid points under these laws, not a critical duration.
  • Self-dependent production leaves the unperturbed trajectory unchanged and repairs a zeroed audit rule in 0 of 48.
  • Losing a rule is not the same as wrong authority. After the 80-update admission outage both rules were lost in every reciprocal run, and 33 of 48 populations still ended with authority on the better alternative.

v1.7 (experiments/joint_closure/, EXPERIMENT_REPORT_V17.md). At the intervention step all three arrangements have the same recorded 21-dimensional source state on every seed and history. After the same audit pulse, which sets audit integrity to 0, the next audit integrity is 1.00 under external reset, 0.18 under reciprocal production and 0.00 under feedback only. At update 185, after the pulse, mean audit integrity over 12 paired seeds is 1.0 external, about 1.0 reciprocal and 0.0 self-dependent.

What it can show

That in one stipulated population, how a rule is maintained is invisible in ordinary operation and decisive after damage, as CLAIM-414 says of its finite constructions; and that the separating interventions are the ones A7 named for QUESTION-086, damage to a rule and interruption of the work that produces it. That which constraint produces which, at fixed ordinary behaviour, decides what can be repaired. And, as QUESTION-087 warns, that internal maintenance can be the more fragile arrangement: here it fails on double loss and on a producer outage, where outside reset does not.

What it cannot show

  • That the population draws its own boundary. The producer teams, schedules and production law are assigned by the modeller, so “internal” means inside the simulated population by stipulation (QUESTION-090 asks when a population develops such maintenance).
  • Closure of constraints in TERM-070’s sense, agency or normativity.
  • That reciprocal production guarantees repair. v2.1 reports that a total loss of the slowly rebuilt admission rule is not guaranteed to recover, because audit, which decays faster, may fail first: 20 updates after the loss its population averaged near 0.36 audit and 0.32 admission integrity (dmarx/PerspectiveLab@9f82bfd EXPERIMENT_REPORT_V21.md, experiments/diagnostic_identification/).

Provenance

dmarx/PerspectiveLab@7e2edc2 experiments/maintained_population/ and experiments/joint_closure/, with EXPERIMENT_REPORT_V16.md, EXPERIMENT_REPORT_V17.md and their stored results (duration_scan.csv, successor_witnesses.json, topology_ablation.json). When filed, the maintained-population test suite was re-run at dmarx/PerspectiveLab@11c1495 and passed.

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