{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp06_four_proposal_generalization60_20260803","cell_id":"ritualized_meaning_and_commitment_enactment__mathematics","arm":"COMPLETE_PROPOSAL_PORTFOLIO","candidate_id":"math_open_problem_renewal_release_v0","proposal_index":4,"version":0,"title":"Open-Problem Renewal and Release Assembly","problem":"A mathematics doctoral project can remain organized around the same open problem after its feasibility, available methods, supervision, or relevance to the student's goals has changed. Routine advising often treats continuation as the default: progress documents repeat the problem statement, while doubts, alternative directions, and resource obligations remain private or difficult to raise under advisor power. The program may affirm that research directions are revisable without providing a recurring, legitimate occasion where the student, advisor, and committee can renew, reshape, suspend, or release their commitments without equating a changed problem with personal failure.","actors":["Doctoral student holding the research problem","Primary advisor","Thesis committee members","Mathematical collaborators affected by a direction change","Program administrator responsible for degree requirements and resources","Independent facilitator or graduate ombud","Future advisors or committee members receiving the handoff record"],"observable_state":"At a scheduled research review, the project plan repeats the previous term's central problem despite a documented feasibility blocker, missing resource, changed supervision condition, or exhausted route, while the record contains no dated decision to renew, reshape, suspend, or release the problem and no refreshed statement of what support the advisor and committee will provide.","consequence":"An inherited research direction can acquire the force of an unchosen obligation; blockers and alternatives remain hidden, supervision and resource commitments become ambiguous, and changing direction may occur only after avoidable conflict or undocumented abandonment.","affected_objective":"Keep doctoral mathematical research commitments explicit, revisable, mutually supported, and separable from personal worth while preserving useful partial results and continuity across supervision changes.","intervention":"Pilot a term-bound Open-Problem Renewal and Release Assembly for one opt-in doctoral project. Before the session, an independent facilitator prepares a consent-reviewed problem folio containing the exact current problem, its provenance, known partial results, live blockers, dependencies, degree constraints, and four equally legitimate paths: carry, reshape, hold, or release. The student may correct the folio, omit sensitive material, choose private or asynchronous participation, and decline the ritual format. At the session, a reserved threshold mark separates renewal from evaluation. The facilitator states that no mathematical, funding, authorship, or degree judgment will be made by the enactment. After a bounded silent interval, the student may place a plain problem marker on a path, ask the facilitator to place it from a private instruction, propose a fifth path, or make no placement. Advisor and committee members then separately renew, revise, or decline concrete support commitments such as meeting time, specialist review, introductions, computation, reading, or approval of an alternative route. A consented witness reads back only the agreed outcome, unresolved disagreements, preserved mathematical residue, owners, resources, deadlines, and the next ordinary decision point. Closure records that the chosen path concerns the present project plan rather than the truth or worth of the problem. An anonymous debrief and periodic independent audit govern adaptation, repair, pause, or retirement.","structural_mapping":[{"archetype_element":"Explicit and contestable meaning claim","domain_realization":"The assembly enacts that an open-problem commitment must be periodically re-chosen and matched by reciprocal support; it does not declare the problem important, solvable, false, or suitable for every student."},{"archetype_element":"Participant and stakeholder boundary","domain_realization":"The student, advisor, committee, collaborators, program administration, independent facilitator, and future supervisors have distinct standing, including affected collaborators who do not attend."},{"archetype_element":"Legitimacy, consent, and exit","domain_realization":"The student can refuse the ritual, use an ordinary review, participate privately, propose an unlisted path, defer a decision, or leave without ceremonial participation affecting funding, evaluation, authorship, immigration support, or degree standing."},{"archetype_element":"Ritual time, place, and cadence","domain_realization":"The assembly is offered at a declared term boundary or after a material change in feasibility or supervision, not during every advising meeting."},{"archetype_element":"Symbolic frame and shared narrative","domain_realization":"The problem folio represents a research direction as a revisable relationship among a mathematical question, a researcher, methods, resources, and institutional obligations rather than as a permanent identity."},{"archetype_element":"Ritual script and sequence","domain_realization":"The recognizable sequence is notice, corrected provenance, threshold, permissions, reflection, optional path placement, reciprocal support renewal, witnessed read-back, operational closure, and debrief."},{"archetype_element":"Role, witness, and facilitation structure","domain_realization":"Student, advisor, committee, facilitator, consent monitor, witness, and record keeper have bounded roles; the advisor does not facilitate, and independent roles rotate under program rules."},{"archetype_element":"Marked object, space, or gesture","domain_realization":"A plain, removable problem marker and equally presented path fields distinguish renewal time while remaining optional, reversible, and free of sacred or evaluative status."},{"archetype_element":"Attention and embodied participation","domain_realization":"A bounded silence and optional marker placement focus attention on active choice; equivalent spoken, written, digital, private, and no-placement paths prevent physical enactment from becoming the only valid participation."},{"archetype_element":"Recognition and practical closure","domain_realization":"Closure recognizes preserved lemmas, computations, examples, and methods with contributor consent, then assigns concrete research and support obligations rather than treating the decision itself as progress."},{"archetype_element":"Plural meaning and accessibility guardrail","domain_realization":"Carrying, reshaping, holding, or releasing may represent persistence, learning, strategic change, constraint, or uncertainty; the assembly mandates no common emotional or philosophical interpretation."},{"archetype_element":"Emotional safety envelope","domain_realization":"No participant must confess failure, disclose health or personal circumstances, praise the advisor, defend ambition, or decide publicly; sensitive disagreements move to confidential ordinary processes."},{"archetype_element":"Memory and intergenerational handoff","domain_realization":"A student-approved record preserves the problem's versions, mathematical residue, decisions, support promises, unresolved constraints, and handoff knowledge without recording private debrief material."},{"archetype_element":"Renewal and drift signal","domain_realization":"Anonymous debriefs and later audits test whether the paths remain genuinely available, support promises occur, and renewal differs from automatic recommitment or staged evaluation."},{"archetype_element":"Repair and retirement path","domain_realization":"Coercion, retaliation, unfulfilled support, confidentiality breach, or repeated automatic renewal triggers correction, independent review, suspension, an ordinary alternative, or retirement of the assembly."}],"mechanism_mapping":[{"mechanism_slug":"ritual_design_canvas","role":"Co-locates the purpose, problem boundary, participants, power asymmetries, path options, sequence, support obligations, evidence, safeguards, and retirement rule before the pilot.","counterfactual_removal":"Without the canvas, a visible choice ceremony could be designed before its relationship to degree authority, confidentiality, and material support is settled."},{"mechanism_slug":"ritual_access_and_consent_review","role":"Uses independent pre-session vetoes for advisor pressure, conspicuous refusal, inaccessible participation, surprise disclosure, recording, and hidden consequences for funding or evaluation.","counterfactual_removal":"Without veto-capable review, attendance or path selection could become apparent consent produced by supervisory dependence."},{"mechanism_slug":"opening_marking_and_threshold_gesture","role":"Marks a temporary boundary in which the inherited problem commitment is open to reconsideration and distinguishes that occasion from routine progress defense.","counterfactual_removal":"Without the threshold, participants may reproduce the ordinary advising assumption that the student must justify continuation rather than choose among legitimate paths."},{"mechanism_slug":"story_myth_or_origin_reenactment","role":"Reconstructs how the problem was chosen, what mathematical promise it appeared to offer, and how circumstances changed, with the student able to correct or contest the account.","counterfactual_removal":"Without a revisable provenance account, current prestige or frustration may overwrite why the project began and which partial results deserve preservation."},{"mechanism_slug":"silence_reflection_and_lament_interval","role":"Creates bounded, nonverbal space for uncertainty, attachment, relief, or unresolved thought without requiring immediate explanation to authority figures.","counterfactual_removal":"Without protected reflection, advisor and committee interpretations may occupy the decision space before the student can formulate a preference."},{"mechanism_slug":"collective_commitment_renewal","role":"Requires student research commitments and advisor, committee, and program support commitments to be renewed, revised, declined, or deferred separately rather than silently rolled forward.","counterfactual_removal":"Without reciprocal renewal, the student may be asked to recommit while institutional support remains assumed, vague, or unavailable."},{"mechanism_slug":"communal_meal_or_exchange","role":"Realizes reciprocity through an optional exchange of bounded service commitments: the student may offer specified research work while advisors and committee members offer specified supervision, access, review, or introductions, with no obligation created merely by receiving an offer.","counterfactual_removal":"Without reciprocal material exchange, the session could enact commitment as a one-way demand on the student rather than a relationship requiring resources from all parties."},{"mechanism_slug":"witnessing_and_public_recognition","role":"A consented witness acknowledges the selected path, preserved mathematical work, and reciprocal obligations only at the level of visibility authorized by the student.","counterfactual_removal":"Without bounded witnessing, later participants may dispute what was agreed, while unrestricted public recognition could expose a private direction change."},{"mechanism_slug":"role_rotation_and_stewardship_rite","role":"Rotates independent facilitation and record custody while transferring access, decision boundaries, accommodations, and tacit process knowledge.","counterfactual_removal":"Without actual rotation, one advisor or program founder could acquire lasting control over interpretation and access to sensitive records."},{"mechanism_slug":"after_ritual_meaning_debrief","role":"Immediately compares intended choice and reciprocity with experienced pressure, evaluation, ambiguity, confidentiality, exclusion, and clarity of follow-through.","counterfactual_removal":"Without the debrief, organizers may infer legitimacy from a completed path placement even when the student experienced no genuine choice."},{"mechanism_slug":"ritual_drift_and_harm_audit","role":"Periodically examines automatic recommitment, advisor capture, path stigma, broken support promises, confidentiality failures, and divergence between the assembly's claims and program decisions.","counterfactual_removal":"Without skeptical audit, a renewal practice could harden into another mandatory progress ritual while preserving the appearance of student agency."},{"mechanism_slug":"ritual_retirement_or_repair_ceremony","role":"Provides a transparent way to acknowledge harm, correct records, transfer any live support obligations to ordinary processes, and release the marker and script from expected use.","counterfactual_removal":"Without an ending path, students and staff could remain subject to a coercive format because it had become institutional tradition."}],"causal_chain":["Open-ended mathematical work, sunk effort, and supervisory power allow an earlier problem choice to persist as a default rather than a current agreement.","Independent notice, consent review, and a corrected problem folio establish the actual mathematical, personal, and institutional boundary of the decision.","A marked occasion distinct from evaluation makes reconsideration socially interpretable and expected at defined intervals.","Protected reflection and student-controlled participation prevent rapid or senior voices from defining the preferred path before the student acts.","Equally legitimate carry, reshape, hold, release, and user-authored paths convert continuation from an inherited assumption into an explicit, revisable choice.","Separate renewal of advisor and committee support makes the relationship reciprocal and exposes resource gaps that a student-only commitment would conceal.","Witnessed closure translates the selected path into preserved mathematical residue, bounded work, resources, owners, deadlines, and a future ordinary review point.","Confidential debrief, drift audit, repair, and retirement keep consent and material follow-through authoritative over symbolic continuity."],"baseline":"Continue with ordinary advisor meetings, annual committee reviews, and written research plans. These can evaluate progress and approve a change, but they often combine assessment with planning and need not create a separately governed occasion where continuation is nondefault, multiple paths are equally legible, support providers renew their obligations, and nonparticipation is protected.","nearest_rivals":["An individual development plan or semester research form that records goals and alternatives but does not itself create a witnessed, symbolically marked, reciprocal renewal with protected release.","A standard thesis committee review that can assess feasibility and authorize changes but may preserve evaluation pressure, advisor-led framing, and automatic continuation.","Project portfolio or stage-gate management that reallocates work according to feasibility but can treat the student as a resource and omit identity, consent, recognition, and nonretaliatory exit.","A mentoring agreement that defines roles and expectations but may be signed once rather than periodically re-enacted, revised, and connected to a specific mathematical problem.","Confidential ombud or counseling support that can address conflict and wellbeing but does not provide the research group with a shared, recurring method for renewing mathematical and resource commitments."],"remaining_contrastive_claim":"The proposal's limited functional claim is that a doctoral mathematical problem can be treated as a periodically re-chosen, reciprocal, symbolically marked commitment with legitimate release, preserved mathematical residue, and observable support obligations. It does not claim to determine problem feasibility, predict research success, replace confidential advising, or authorize degree decisions.","authority_safety":{"decision_authority":"The student controls ritual participation and whether to express a preferred path. Existing degree rules govern formal program requirements; the student, advisor, committee, and program retain only their ordinary authority over commitments they are entitled to make. The facilitator cannot alter funding, supervision, authorship, candidacy, immigration support, degree standing, or mathematical judgments. An independent graduate ombud or consent monitor may halt the format.","authorized_first_step":"Run one private, 30-minute opt-in pilot at an already scheduled term review, facilitated by someone outside the supervisory chain. Use no recording, attach no grade or milestone decision to participation, and limit the output to a student-approved path statement, preserved mathematical residue, reciprocal support actions, and the next ordinary review date.","excluded_actions":["Making ritual participation or path selection mandatory","Treating carry as loyalty, release as failure, hold as insufficient progress, or reshape as an admission of error","Inferring mathematical ability, commitment, health, ambition, or advisor satisfaction from speech, silence, emotion, absence, or marker placement","Changing funding, employment, authorship, supervision, candidacy, immigration support, or degree status during or because of the pilot","Requiring disclosure of health, family, financial, interpersonal, or other private reasons for a path choice","Allowing the advisor to facilitate, control anonymous feedback, or unilaterally define the available paths","Publishing the selected path, preserved work, disagreement, or recognition without specific student and contributor consent","Using the assembly instead of mathematical feasibility review, conflict resolution, disability accommodation, or formal appeal procedures","Binding the student to an offered resource or task merely because it appeared in the reciprocal exchange"],"halt_rollback":"Stop immediately if the student reports pressure, an unannounced evaluator enters, confidentiality is breached, a path is disparaged, or participation becomes connected to a formal decision. Make no witnessed path declaration, void unaccepted ritual commitments, return the project to its prior administrative status, preserve only student-approved mathematical records, route any retaliation or rights concern to the independent ordinary process, and offer a private nonritual review. Resume only with renewed consent; otherwise retire the assembly for that project."},"negative_tests":{"strongest_counterevidence":"If a private, non-symbolic planning form followed by an independently facilitated advising meeting yields equally explicit choice, reciprocal support, preserved mathematical residue, and perceived freedom with less pressure, the ritual layer has no supported function and should be removed.","problem_falsifier":"The inferred problem is unsupported in the selected project if the student has already made a recent, documented, unpressured choice among viable directions; advisor and committee support is explicit and current; alternatives can be raised without retaliation; and no plan is being carried forward by default.","intervention_falsifier":"The intervention fails its bounded test if the student experiences the assembly as evaluation, perceives any path as unsafe, withholds a preferred path because of visibility, cannot revise the outcome afterward, or the promised support and record changes do not occur.","risks":["The four named paths may falsely simplify a complex research decision.","Visible release or uncertainty may acquire stigma despite formal safeguards.","The advisor may exert pressure before or after the bounded session.","A ceremonial choice may create more psychological lock-in than an ordinary provisional plan.","Sensitive mathematical ideas, conflicts, or personal circumstances may be exposed.","Preserved partial results may create authorship or confidentiality disputes.","Reciprocal offers may become implicit debt or excessive workload.","The assembly may delay urgent changes that should occur immediately.","Program adoption may turn an opt-in practice into mandatory evaluation theater.","A polished record may conceal continuing disagreement or missing resources."]},"next_evidence_step":"For the one pilot, compare the new student-approved output with that project's preceding ordinary review record: whether it contains an explicit current path, at least one legitimate alternative or deferral option, preserved mathematical residue, separately accepted support obligations, owners, and a next review date. Collect anonymous immediate feedback through the independent facilitator about perceived choice, evaluation pressure, confidentiality, path stigma, and clarity about what the assembly did not decide. Four weeks later, check only whether accepted support actions occurred and whether the student could revise the path without penalty. Use these project-specific observations to keep, adapt, or retire the format without estimating a general effect.","prior_art_status":"UNSEARCHED","diversity_from_prior_proposals":"Proposal 1 addresses unowned verification obligations within an extant collaborative theorem and uses witnessed task renewal to preserve proof stewardship across researcher turnover. Proposal 4 instead addresses default persistence of an individual's open research direction under supervisory power; its intervention renews or releases the problem relationship and reciprocal resources, not checks supporting a theorem. Proposal 2 addresses students importing conclusions between axiom systems and uses an enacted premise change to make formal conditionality salient. Proposal 4 does not teach an axiom distinction or assess proof classification; its causal path runs through legitimate reconsideration, student-controlled choice, and renewed supervision. Proposal 3 addresses the social and archival half-life of a conjecture already judged false or withdrawn, using public retirement and counterexample handoff. Proposal 4 concerns a still-open problem whose truth and value remain unsettled; release changes a student's current commitment without retiring the mathematical question. It is independently adoptable as a doctoral advising and research-governance practice without a proof-obligation ledger, comparative-geometry curriculum, or conjecture-retirement process.","revision_record":{"parent_version":null,"progress_targets_addressed":["Generate one complete candidate at proposal index 4","Address a problem materially different from proposals 1, 2, and 3","Use an independently adoptable intervention and causal path","Preserve the archetype's governed cycle of meaning, consent, enactment, practical closure, memory, review, repair, and retirement","Specify authority, safeguards, rivals, falsifiers, and bounded evidence"],"conceptual_changes":["Initial version; no parent proposal","Centered the candidate on periodic re-consent to an open doctoral research direction under supervisory asymmetry","Made reciprocal institutional support, rather than student commitment alone, part of the enacted meaning","Separated release of a researcher from retirement or judgment of the mathematical problem"],"operational_changes":["Specified one private 30-minute opt-in pilot with carry, reshape, hold, release, and participant-authored paths","Added independent facilitation, multimodal and private participation, reciprocal resource commitments, student-approved records, rollback, and nonritual alternatives"],"evidence_changes":["Defined a bounded comparison with the same project's preceding ordinary review record","Added independent anonymous checks of choice, pressure, confidentiality, path stigma, and decision-boundary clarity","Added a four-week check of accepted support actions and costless revision","Kept prior-art status explicitly unsearched"],"claim_changes":["Limited the claim to governed renewal and release of a reciprocal research commitment","Excluded claims of novelty, prevalence, demand, effect size, feasibility prediction, or research success"]}}