{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp12_substrate_denial72_20260805","cell_id":"formal_derivation_system_design__accounting_auditing","arm":"CONSTRAINED_HIGH","candidate_id":"formal_derivation_system_design__accounting_auditing__CONSTRAINED_HIGH","decision":"PROPOSAL","abstention_reason":null,"proposal":{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp12_substrate_denial72_20260805","cell_id":"formal_derivation_system_design__accounting_auditing","arm":"CONSTRAINED_HIGH","candidate_id":"formal_derivation_system_design__accounting_auditing__CONSTRAINED_HIGH","proposal_index":1,"version":0,"title":"Mechanical State-Transition Ledger for Countable Inventory Custody","problem":"A facility transferring identical, countable inventory units among named custody locations can record a removal without the corresponding receipt, transfer more units than the source holds, reuse a transfer reference, or produce an ending balance that cannot be reconstructed from the verified opening count and recorded transfers. Handwritten entries may each appear plausible while failing to form one conserved, sequential custody history.","actors":["Dispatching custodian","Receiving custodian","Inventory controller","Auditor","Countable inventory units","Mechanical ledger fixture and its conserved counting beads"],"observable_state":"The physical stock count, location subtotals, and handwritten transfer ledger do not reconcile, or two auditors applying the stated transfer records obtain different ending custody balances.","consequence":"The facility cannot determine from the record alone whether the discrepancy arose from an omitted counterpart entry, an impossible transfer, duplicate recording, physical loss, or an incorrect opening count; the inventory asset and custody trail are therefore not supportable by that record.","affected_objective":"Maintain a reproducible, auditable conservation account for whole, interchangeable inventory units moving among bounded custody locations.","intervention":"Use a tabletop mechanical state-transition ledger with one keyed rail per custody location and one conserved bead per verified inventory unit. At period opening, beads are loaded onto location rails according to a witnessed physical count, establishing the declared starting state rather than asserting that state as universally true. For a transfer, a keyed source-destination carriage captures the selected whole-number bead group and, in one mechanically coupled crank stroke, removes those beads from the source rail and deposits the same beads on the destination rail. Source underflow blocks the stroke; incompatible location keys, partial strokes, and reused sequence tabs cannot enter the accepted-state detent. The completed stroke may emboss its source, destination, quantity, and sequence onto a replaceable physical tape, but the operative control is the conserved-bead movement and mechanical gating, not the tape. The fixture covers only listed locations, whole interchangeable units, and transfers; valuation, damaged units, unrecorded physical movement, ownership, and the truth of the opening count remain outside its closure boundary.","structural_mapping":[{"archetype_element":"Symbol Vocabulary","domain_realization":"Keyed location rails denote custody accounts; conserved beads denote whole inventory units; source-destination keys and quantity stops denote transaction terms."},{"archetype_element":"Well-Formed Expression Grammar","domain_realization":"Rail profiles, whole-bead quantity selection, unique sequence tabs, and a full-stroke detent physically define which source-destination-quantity transfers can enter the accepted state."},{"archetype_element":"Axiom Base","domain_realization":"The witnessed opening placement of beads is the named period's assumed starting state, explicitly separated from later derived balances and from the external claim that the opening count was accurate."},{"archetype_element":"Inference Rule Set","domain_realization":"The coupled carriage embodies the transition rule that a valid transfer of n units subtracts exactly n from one listed source and adds those same n units to one listed destination without permitting source underflow."},{"archetype_element":"Derivation Trace Record","domain_realization":"The ordered configuration changes are optionally captured as mechanically embossed tape segments produced only by completed strokes; the current rail configuration is the terminal physical state of the accepted transition sequence."},{"archetype_element":"Closure Boundary","domain_realization":"Only whole-unit transfers among installed rails are derivable. Damage, valuation, ownership, off-fixture movement, nonexistent locations, and opening-count validity require external evidence."},{"archetype_element":"Consistency Guardrail","domain_realization":"Because the same beads are relocated rather than independently created as debit and credit entries, the total bead population is conserved; underflow stops and sequence-tab locks reject specified contradictory states."},{"archetype_element":"Interpretation Boundary","domain_realization":"A mechanically reachable state means only that the entered transfers are internally conformant relative to the declared opening state; it does not establish that physical transfers occurred, that stock still exists, or that accounting treatment is legally correct."},{"archetype_element":"Revision and Versioning Rule","domain_realization":"A physically distinct, labeled cam-and-key cartridge defines the location set and transition geometry for a period; changing the cartridge starts a new fixture version rather than silently altering prior admissibility."},{"archetype_element":"External Fact Gateway","domain_realization":"A witnessed physical count is required to initialize or formally reset bead positions; discrepancies discovered later are marked outside the transition calculus rather than forced into an invented transfer."}],"mechanism_mapping":[{"mechanism_slug":"formal_grammar_specification","role":"Key and slot geometry admits only installed locations, whole-bead quantities, unused sequence tabs, and completed strokes as mechanically well-formed transactions.","counterfactual_removal":"Without the keyed geometry, malformed location, quantity, and sequence combinations could alter the ledger state, so the distinction between legal and illegal expressions would disappear."},{"mechanism_slug":"inference_rule_calculus","role":"A source-destination carriage realizes the single admissible state transformation: move the selected conserved beads from source to destination atomically.","counterfactual_removal":"If source removal and destination addition were independently actuated, unmatched entries and quantity divergence would again be physically reachable."},{"mechanism_slug":"proof_tree_or_derivation_log","role":"A crank-linked embossing head can leave an ordered physical certificate of completed transitions for replay against the opening state.","counterfactual_removal":"Removing the embossed tape weakens retrospective reconstruction but does not remove the essential prevention of internally inconsistent bead states, which is supplied by the mechanical coupling."},{"mechanism_slug":"consistency_and_contradiction_test","role":"Total-bead conservation, source-underflow stops, and unique sequence-tab locks expose specified contradictions as blocked strokes or a mismatch between the fixture and a fresh physical count.","counterfactual_removal":"Without conservation and blocking features, the fixture would become a passive display and would no longer exclude the targeted impossible custody transitions."}],"causal_chain":["A witnessed physical count initializes one conserved bead per unit on a keyed custody-location rail, defining a bounded starting state.","A proposed transfer can engage the mechanism only if its locations, whole-unit quantity, sequence tab, and source availability satisfy the fixture's physical grammar.","One crank stroke moves the same selected beads from source to destination, mechanically coupling subtraction and addition and preventing an accepted unmatched counterpart entry.","The detent accepts only a completed transition; an optional linked embossing stroke records the transition sequence without controlling whether the state is admissible.","Repeated valid strokes generate a terminal bead configuration reachable from the opening state under the fixed mechanical transition rule.","An auditor can compare the terminal configuration with a new physical count and, when tape is present, replay the accepted transitions; a mismatch is classified as an external-count, bypass, mapping, or instrument fault rather than as a derivable transfer."],"baseline":"A bound manual custody ledger or pre-numbered multipart transfer form in which dispatch and receipt quantities are written separately and inconsistencies are detected later through signatures, arithmetic review, and periodic physical reconciliation.","nearest_rivals":["Pre-numbered duplicate transfer forms with dual signatures: preserve counterpart evidence but do not physically prevent unequal quantities, source underflow, or mutually incompatible entries.","A conventional double-entry ledger with independent debit and credit columns: represents conservation symbolically but permits malformed or unmatched entries until review.","Barcode or RFID inventory software: can validate transitions and retain histories, but its operative control depends on computation, configured logic, data integrity, and device use.","Frequent independent physical counts: test terminal stock existence but do not themselves constrain or reconstruct the intervening custody-transition sequence.","Two-bin or kanban token systems: conserve physical tokens for replenishment or flow signaling but ordinarily lack the explicit keyed grammar, named opening state, transition trace, and closure boundary used here."],"remaining_contrastive_claim":"Relative to forms and independent ledger columns, the candidate's testable distinction is that specified invalid custody transitions are mechanically unreachable inside the fixture because one conserved material representation is moved atomically. Relative to software validation, that exclusion should persist with all computation, analytics, networking, reporting, incentives, authorization rules, and sign-off procedures removed. It does not claim to prevent unrecorded movement or prove correspondence between beads and real stock.","authority_safety":{"decision_authority":"The inventory controller may authorize only a non-production bench evaluation; the auditor retains authority over evidentiary acceptance, and custodians retain their existing production responsibilities.","authorized_first_step":"Build or configure a small bench fixture for three fictional custody locations and inert test pieces, then execute a preregistered set of valid transfers, source-underflow attempts, unequal-counterpart attempts, reused sequences, incomplete strokes, and bypass scenarios while maintaining the existing ledger independently.","excluded_actions":["Replacing the production accounting record","Using fixture state in financial statements or audit conclusions","Changing employee access or custody authority","Assigning blame or alleging loss from a fixture discrepancy","Testing with cash, controlled substances, hazardous materials, or live inventory","Suppressing existing physical counts, approvals, or reconciliation controls"],"halt_rollback":"Stop the bench test after any jam, bead loss, unintended accepted state, ambiguous detent, damaged trace, or disagreement about the opening state. Preserve observations, remove the test fixture from service, and return the inert pieces to the documented pretest count; the existing ledger remains authoritative throughout."},"negative_tests":{"strongest_counterevidence":"The mapping between beads and stock may be easier to bypass or corrupt than the manual record: real units can move without a bead, beads can be moved outside the carriage, mechanical wear can admit an invalid transition, and a false opening count can yield a perfectly consistent but factually wrong terminal state.","problem_falsifier":"A bounded observation of the intended setting finds that reconciliation failures concern valuation, classification, damaged-unit interpretation, or ownership rather than missing counterpart entries, source underflow, duplicated transfers, or nonreproducible whole-unit custody histories.","intervention_falsifier":"Under calibrated bench conditions, any scripted unequal source-destination transfer, source-underflow transfer, reused sequence, or incomplete stroke reaches the accepted-state detent, or a conforming transfer cannot reliably reach it. The broader candidate is also unsupported if representative bypasses make fixture state diverge from test-piece custody without producing an observable discrepancy at reconciliation.","risks":["A consistent fixture can create false confidence when the opening count or bead-to-stock correspondence is wrong.","Custodians can bypass the device or move beads without moving stock.","Beads, rails, keys, detents, or embossing media can wear, jam, break, or be tampered with.","Whole-unit encoding is unsuitable for divisible, heterogeneous, damaged, or valuation-sensitive inventory.","Limited rail capacity or location vocabulary can force legitimate events outside the formal boundary.","The physical trace could expose sensitive location or inventory information.","Users may mistake internal derivability for proof of occurrence, ownership, authorization, or financial-statement correctness."]},"next_evidence_step":"Conduct a bounded, non-production bench comparison using inert pieces and a fixed opening state. Randomize a disclosed set of conforming transfers and targeted fault scripts across the mechanical fixture and the manual-form baseline. Record whether each method admits an internally inconsistent accepted state, rejects a valid state, preserves total representation, and permits reconstruction from the opening state. Inspect all failures mechanically before considering any live pilot.","prior_art_status":"UNSEARCHED","diversity_from_prior_proposals":"No comparison with other experiment proposals was performed under runtime isolation. This candidate is characterized internally by a computation-free, conserved-material state-transition kernel rather than by a dashboard, analytics system, policy, workflow, or sensor-reporting loop.","revision_record":{"parent_version":null,"progress_targets_addressed":["Construct one causally explicit accounting-and-auditing application of the formal derivation archetype.","Make a permitted physical or instrumentation process the primary intervention.","State a counterfactual in which forbidden software and governance wrappers are removed.","Bound the formal system's interpretation, authority, and first evidence step."],"conceptual_changes":["Initial version; no parent revision.","Interpreted derivation as mechanically constrained custody-state transitions rather than automated accounting inference.","Restricted scope to whole interchangeable inventory units so the physical grammar and conservation invariant remain coherent."],"operational_changes":["Initial version specifies keyed rails, conserved beads, an atomic transfer carriage, underflow stops, sequence locks, and an optional mechanical trace.","Limited the first step to inert materials and a non-production bench fixture."],"evidence_changes":["No external or prior-art evidence was consulted.","Added explicit problem and intervention falsifiers suitable for a bounded bench test."],"claim_changes":["Limited the claim to internal exclusion of specified impossible transitions relative to a declared opening state.","Excluded claims about novelty, prevalence, demand, effect size, occurrence of real transfers, ownership, legality, and financial-statement validity."]},"substrate_contract":{"primary_allowed_process":"MEASUREMENT_INSTRUMENTATION","counterfactual_independence":"The essential effect is produced by material conservation and mechanical constraint: the same physical beads are moved atomically between keyed rails, while underflow stops, detents, and sequence locks exclude specified invalid states. With software, algorithms, databases, dashboards, analytics, networking, reporting, incentives, authorization, sign-offs, reviews, and procedural enforcement removed, anyone operating the fixture still cannot complete those invalid transitions through its accepted mechanism. Removing the optional embossed tape removes retrospective detail but not the conserved-state effect.","forbidden_channel_audit":"No software, algorithmic inference, database, recommender, information-routing system, or electronic control loop is required. No sensor delegates the intervention to downstream analytics or human reporting. Policy, permission, incentives, dual authorization, training, review, and accountability are not causal components of state admissibility. The only reporting element is optional mechanically embossed tape, which is explicitly nonessential. The load-bearing causal channels are conserved physical tokens, keyed spatial geometry, mechanically coupled motion, underflow blocking, and detent-based acceptance."}}}