{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"invariant_mode_decomposition_design__chemistry_materials","trajectory_id":"R","attempt_index":0,"archetype_slug":"invariant_mode_decomposition_design","domain_slug":"chemistry_materials","decision":"CANDIDATE","problem_id":"spatially_hidden_polymer_cure_runaway","causal_lever_id":"unstable_reaction_diffusion_mode_control","proposal":{"problem":"In thick thermoset-polymer curing, coupled heat generation, heat removal, conversion, and viscosity can develop a spatial hotspot or runaway precursor while bulk temperature and conversion remain within limits. Coordinate-wise alarms can therefore detect the defect only after material damage or unsafe acceleration has begun.","actors_substrate":["thermoset formulation and molded part","distributed temperature and conversion measurements","cure-oven operators and process engineers","quality and process-safety teams"],"observable_state":"Time-aligned spatial temperature, estimated conversion, boundary temperature, heat input, and formulation state during a fixed cure stage; the hypothesized precursor is growth of a coupled reaction-diffusion mode despite acceptable bulk averages.","consequence":"Undetected modal growth can produce localized over-cure, voiding, residual stress, property nonuniformity, or thermal runaway.","affected_objective":"Complete cure uniformly while keeping local temperature, conversion rate, and material damage within validated safety and quality limits.","structural_mapping":[{"archetype_element":"A transformation acts on coupled variables.","domain_realization":"A locally linearized cure-stage transition operator maps spatial temperature and conversion perturbations to their next-time state.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Visible coordinates conceal the consequential direction.","domain_realization":"Bulk temperature can remain acceptable while a spatially localized combination of temperature and conversion grows.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Invariant modes receive scalar responses.","domain_realization":"Eigenvectors represent approximate cure perturbation shapes and eigenvalues their local decay, persistence, oscillation, or growth.","claim_kind":"INFERENCE"},{"archetype_element":"Unstable modes receive priority.","domain_realization":"A growing hotspot-associated mode becomes an early-warning and bounded heat-input-control target.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Compression remains accountable to residuals.","domain_realization":"Retained modes must reconstruct held-out sensor trajectories within error and structured-residual limits.","claim_kind":"INFERENCE"},{"archetype_element":"Modes are conditional rather than universal.","domain_realization":"The basis is trusted only for the formulation, geometry, cure stage, boundary conditions, and perturbation range used to estimate it.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Transformation Scope","status":"direct","domain_realization":"One formulation, part geometry, cure stage, sampling interval, and boundary-condition family."},{"component":"State-Vector Definition","status":"direct","domain_realization":"Spatial temperature and conversion perturbations, with recorded heat-input and boundary-temperature controls."},{"component":"Invariant Mode Basis","status":"direct","domain_realization":"Eigenvectors of the locally estimated cure transition Jacobian."},{"component":"Modal Gain Spectrum","status":"direct","domain_realization":"Discrete-time eigenvalues, including magnitude and complex phase."},{"component":"Dominant Mode Selection Rule","status":"adapted","domain_realization":"Retain modes exceeding thresholds for predicted local-temperature consequence, persistence, or reconstruction contribution."},{"component":"Stable/Unstable Mode Partition","status":"direct","domain_realization":"Classify modes as decaying, marginal, oscillatory, or growing within the fitted window."},{"component":"Modal Intervention Map","status":"adapted","domain_realization":"Map small oven-temperature or heating-rate changes to their projected effects on retained modes."},{"component":"Reconstruction Residual Check","status":"direct","domain_realization":"Evaluate held-out trajectory error and spatially structured residuals."},{"component":"Mode Drift Monitor","status":"direct","domain_realization":"Track eigenvalue, mode-shape, and residual changes across batches and cure stages."},{"component":"Interpretation Scope Contract","status":"direct","domain_realization":"Prohibit extrapolation across untested formulations, geometries, cure stages, or large disturbances."},{"component":"Mode-Coupling Register","status":"adapted","domain_realization":"Record near-degenerate, non-normal, and control-induced cross-mode effects."},{"component":"Local Linearization Window","status":"direct","domain_realization":"Validated ranges of temperature, conversion, heating rate, and perturbation amplitude."},{"component":"Spectral Gap Threshold","status":"direct","domain_realization":"Minimum separation and mode-shape stability required to use a reduced alarm model."}],"mechanism_dispositions":[{"slug":"eigendecomposition_workflow","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Decompose the estimated local cure Jacobian to obtain the full mode basis and gains; condition-number checks gate interpretation.","counterfactual_removal":"Without invariant directions and gains, the proposal reverts to coordinate-wise alarms and loses its causal lever."},{"slug":"modal_sensitivity_sweep","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Apply only small simulated or bench-safe control perturbations to rank heat-input leverage and expose cross-effects.","counterfactual_removal":"Modes could still be detected, but the bounded control target and coupling register would be poorly identified."},{"slug":"modal_stability_analysis","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Classify eigenvalues only inside the cure-stage linearization window.","counterfactual_removal":"No principled distinction would remain between harmless variation and a growing precursor."},{"slug":"mode_shape_testing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Empirical excitation is unnecessary for the first test because the operator is estimated from instrumented trajectories; deliberate excitation of production parts adds risk.","counterfactual_removal":"No material change; held-out trajectory validation remains available."},{"slug":"network_spectral_centrality_analysis","disposition":"incompatible","contribution_type":"NONE","adaptation_or_rejection":"Sensor locations are spatial state coordinates, not network actors whose dominant-eigenvector entries measure importance.","counterfactual_removal":"No change."},{"slug":"power_iteration_probe","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A dominant-only estimate could miss a lower-gain but high-consequence mode; the bounded pilot permits a full spectrum.","counterfactual_removal":"No change."},{"slug":"principal_component_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Variance modes do not establish dynamical growth or decay and may suppress a low-variance runaway precursor.","counterfactual_removal":"No change."},{"slug":"reduced_order_model","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Real-time surrogate control is premature; the first test is advisory detection and offline counterfactual evaluation.","counterfactual_removal":"No change to pilot viability."},{"slug":"residual_reconstruction_test","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Test retained modes on held-out batches and reject reductions with excessive or structured residuals.","counterfactual_removal":"An omitted spatial pattern could be mistaken for safety, invalidating the alarm."},{"slug":"singular_value_decomposition","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Singular vectors may characterize transient amplification but are not invariant cure-dynamics modes; use only later if non-normality defeats eigenvector interpretation.","counterfactual_removal":"No change while eigenbasis conditioning is acceptable."},{"slug":"spectral_decomposition_report","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Document mode meanings, prohibited interpretations, couplings, validation window, and operator sign-off.","counterfactual_removal":"The computation survives, but safe handoff and governance materially weaken."},{"slug":"spectral_gap_monitor","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Track retained/dropped separation, mode rotation, and ordering across batches; suspend use on threshold breach.","counterfactual_removal":"A once-valid reduced alarm could silently become unreliable after process drift."}],"causal_chain":["Coupled cure kinetics and heat transport create repeatable local transition dynamics.","A spatial temperature-conversion combination becomes weakly damped or growing before bulk limits are crossed.","Local eigendecomposition and stability classification expose that otherwise hidden precursor.","Sensitivity analysis identifies a bounded heat-input adjustment that damps the precursor without leaving the validated window.","Residual, conditioning, gap, and drift gates prevent reliance when the modal approximation fails.","Earlier advisory detection and constrained response reduce local overheating and cure nonuniformity."],"baseline":"Independent limits and trend alarms on bulk or individual sensor temperatures, plus fixed cure recipes and post-cure quality inspection.","nearest_rival":"A multivariate black-box anomaly detector trained on the same sensor histories, without an explicit transition operator or stable/unstable modal interpretation.","authority_safety":{"affected_parties":["oven operators","nearby process personnel","customers relying on material integrity","quality and process-safety teams"],"decision_authority":"The designated process-safety owner authorizes alarm thresholds; the qualified process engineer authorizes recipe changes; operators retain emergency-stop authority.","authorized_first_step":"Replay historical instrumented batches and run a small, non-production coupon study using already-approved temperature and heating-rate bounds; compare advisory-only modal alarms with baseline and rival alarms.","excluded_actions":["autonomous production recipe changes","deliberate approach to runaway conditions","extrapolation to untested formulations or part geometries","suppression of existing hard temperature trips","release decisions based solely on modal output"],"halt_rollback":"Stop the study and revert to existing controls if hard limits are approached, eigenvectors are ill-conditioned, residual or drift budgets fail, the spectral gap falls below threshold, or the modal recommendation conflicts with an approved safety rule."}},"negative_tests":{"strongest_counterevidence":"Bulk and individual-sensor alarms may already lead all damaging events, or the estimated modes may vary so much by batch and cure stage that no actionable validity window exists.","analogy_break":"Cure dynamics are nonlinear, spatially continuous, and parameter-changing; eigenmodes of one local Jacobian are not globally invariant physical entities.","failure_condition":"The candidate fails if no reproducible coupled precursor appears before damage, or if usable modes cannot be traced to measurements within conditioning, residual, and drift limits.","problem_falsifier":"Across representative batches, localized defects and unsafe acceleration are fully predicted with adequate lead time by one directly observed variable, with no incremental predictive value from coupled state history.","intervention_falsifier":"Given the problem persists, preregistered held-out and coupon tests show the modal alarm/control map provides no improvement over the baseline or black-box rival in lead time and false alarms, or proposed damping actions fail to reduce the precursor within approved bounds.","risks":["False reassurance from a locally stable model outside its fitted window","Unobserved spatial modes between sensors","Eigenvector instability from non-normality or near-degeneracy","Nuisance alarms and unsafe operator overreaction","Control changes that damp one mode while amplifying another","Quality optimization being mistaken for process-safety certification"]},"null_rationale":null,"classification":{"candidate_kind":"MECHANISM_COMPOSITION","prior_art_status":"UNSEARCHED","evidence_maturity":"HYPOTHESIS"},"revision_change_log":{"revision_kind":"ORIGINAL","prior_problem_id":null,"prior_causal_lever_id":null,"problem_changed":false,"causal_lever_changed":false,"conceptual_changes":[],"operational_changes":[],"repairs_addressed":[]},"confidence":0.82,"generator_notes":"Closed-book structural inference from the supplied archetype and chemistry/materials context; empirical existence, lead time, and controllability of the proposed cure mode remain hypotheses."}