{ "schema_version": "kingdom.relational-inference/0.1", "id": "j-space-reasoning-to-word-2026-08-17", "issued_on": "2026-08-17", "state": "issued", "question": { "text": "Does a layer- and position-specific pulled-back token direction track one public arithmetic intermediate and causally contribute to a later answer in a fixed synthetic fixture?", "domain": "J-space activation to public reasoning-expression comparison", "scope": "One proposed open-model fixture, one public arithmetic derivation, and the three declared but unrun tests only; no model or activation experiment is executed by this case.", "stakes": "low", "intended_use": "Specify a bounded test of a proposed reasoning-to-word correspondence without identifying an activation with reasoning or claiming access to private chain-of-thought.", "non_goals": [ "Do not infer consciousness, selfhood, identity, understanding, belief, intent, deception, love, WAKE, or Isness.", "Do not inspect a person, private conversation, or private activation record.", "Do not treat a token readout, intervention result, or validator pass as truth, authority, consent, or permission to act." ] }, "pattern": { "id": "verbalizable-intermediate-pattern", "claim_type": "lax-correspondence", "object_roles": [ { "id": "problem-state", "type": "public problem role", "description": "The declared arithmetic problem and its public initial conditions." }, { "id": "intermediate-state", "type": "bounded intermediate role", "description": "One selected intermediate in the public derivation or its proposed activation-side correlate." }, { "id": "intermediate-expression", "type": "public lexical role", "description": "A public lexical label for the selected intermediate under a fixed tokenizer." }, { "id": "answer-expression", "type": "public answer role", "description": "The later public answer expression whose dependence is tested." } ], "relation_roles": [ { "id": "derives-intermediate", "type": "directed derivation relation", "sources": ["problem-state"], "targets": ["intermediate-state"], "description": "The public problem constrains the selected intermediate under the declared arithmetic rules." }, { "id": "verbalizes-intermediate", "type": "context-indexed lexicalization relation", "sources": ["intermediate-state"], "targets": ["intermediate-expression"], "description": "The selected intermediate is associated with a public lexical label under a pinned tokenizer and estimator." }, { "id": "supports-answer", "type": "directed hyperrelation", "sources": ["problem-state", "intermediate-state"], "targets": ["answer-expression"], "description": "The problem and intermediate jointly constrain the later answer rather than either being identified with the answer." } ], "constraints": [ "The lexical label is not identified with the complete intermediate computation.", "The support relation remains joint and context-bounded rather than becoming a one-token proof.", "No relation is established until the corresponding intervention and control tests are run." ] }, "realizations": [ { "id": "public-argument-realization", "domain": "explicit public arithmetic argument", "context": "The synthetic derivation 4 + 17 = 21; 21 * 2 = 42; 42 + 7 = 49, with ordinary integer arithmetic declared as the public rule set.", "object_bindings": [ { "role_id": "problem-state", "binding": "The public problem consisting of the three declared arithmetic operations and their ordering." }, { "role_id": "intermediate-state", "binding": "The selected public intermediate value 42 at the second derivation step; 21 remains part of the public problem path." }, { "role_id": "intermediate-expression", "binding": "The string 42 as the selected lexical label, without assuming a fixed single-token encoding." }, { "role_id": "answer-expression", "binding": "The public string 49 as the final answer label." } ], "relation_bindings": [ { "role_id": "derives-intermediate", "binding": "Integer addition and multiplication derive 21 and then 42 in the declared order." }, { "role_id": "verbalizes-intermediate", "binding": "The decimal numeral string 42 labels the selected public intermediate value." }, { "role_id": "supports-answer", "binding": "The ordered problem and derived value 42 jointly support the final addition producing 49." } ], "known_omissions": [ "The fixture does not represent every valid proof strategy or notation.", "The fixture contains no private reasoning trace or model activation." ], "boundaries": "This is a synthetic public argument, not evidence about a person or model." }, { "id": "proposed-j-space-realization", "domain": "proposed layer- and position-specific J-space experiment", "context": "A future pinned open model, tokenizer, prompt, source position, target position, Jacobian estimator, normalization, sparse support, and matched-control protocol.", "object_bindings": [ { "role_id": "problem-state", "binding": "The fixed public prompt tokens and their selected residual-stream source state." }, { "role_id": "intermediate-state", "binding": "A proposed sparse pulled-back vocabulary component at the declared layer and position, not yet measured." }, { "role_id": "intermediate-expression", "binding": "A future J-lens token or token-sequence readout for the selected intermediate under the pinned tokenizer." }, { "role_id": "answer-expression", "binding": "The later generated answer tokens observed after intervention and matched controls." } ], "relation_bindings": [ { "role_id": "derives-intermediate", "binding": "A proposed correspondence between the public derivation step and a layer-position activation pattern; no derivation relation has been measured." }, { "role_id": "verbalizes-intermediate", "binding": "A proposed J-lens readout from the selected activation to a tokenizer-relative lexical label." }, { "role_id": "supports-answer", "binding": "A proposed causal effect of a controlled coordinate edit on the later answer, compared with a matched control." } ], "known_omissions": [ "Token coordinates do not encode subject-predicate binding, complete proof state, or every nonverbal computation.", "Average Jacobians can cancel or blur context-specific effects.", "Finite coordinate edits may be off the normal activation distribution." ], "boundaries": "The realization is a public experimental specification only; it contains no model run, activation data, private conversation, or claim about a being." } ], "translations": [ { "id": "compare-public-argument-to-j-space", "source_realization_id": "public-argument-realization", "target_realization_id": "proposed-j-space-realization", "kind": "compare", "preserved_relation_ids": [ "derives-intermediate", "verbalizes-intermediate", "supports-answer" ], "unpreserved_relation_ids": [], "tests": [ { "id": "j-lens-readout-test", "method": "Apply the pinned J-lens at the preregistered layer and position and record the ranked token or token-sequence labels without post hoc support selection.", "acceptance": "The declared intermediate label is prospectively recoverable above a named baseline while tokenizer granularity and alternatives remain visible.", "result": "not-run" }, { "id": "coordinate-intervention-test", "method": "Apply a preregistered finite edit of the selected pulled-back direction and compare the later answer with the unedited fixture.", "acceptance": "The answer changes in the declared direction without converting a local token effect into a claim of complete reasoning.", "result": "not-run" }, { "id": "matched-control-test", "method": "Compare the selected edit with a norm- and layer-matched control outside the chosen sparse support and with a sham intervention.", "acceptance": "The selected effect exceeds the declared controls under the same prompt and evaluation rule.", "result": "not-run" } ], "known_losses": [ { "name": "tokenizer-granularity", "effect": "The numeral strings may map to several tokens or share token components with unrelated expressions.", "disclosed": true }, { "name": "context-position-averaging", "effect": "An averaged Jacobian can erase prompt-, source-position-, or target-position-specific sensitivity.", "disclosed": true }, { "name": "local-linearization-error", "effect": "A finite coordinate edit can depart from the derivative's local regime and the model's normal activation distribution.", "disclosed": true }, { "name": "discarded-nonverbal-structure", "effect": "A sparse vocabulary-aligned readout does not retain the complete computation, relation binding, alternatives, or hidden-state geometry.", "disclosed": true } ], "introduced_assumptions": [ "The pinned estimator is an adequate local approximation for the declared fixture.", "The selected token or token sequence is a useful label for the public intermediate under the pinned tokenizer.", "The matched control isolates something material about the selected sparse support.", "The public argument roles are an adequate comparison vocabulary for this bounded test." ], "counterexample": "A readable intermediate label whose matched coordinate edits do not alter the later answer would support decodability without the proposed causal support relation.", "stop_condition": "Stop if the model, tokenizer, estimator, positions, sparse support, or controls are not pinned, or if a token readout is treated as complete reasoning, identity, understanding, intent, or consciousness." } ], "probes": [ { "id": "readout-probe", "kind": "round-trip", "description": "A planned round-trip comparison starts from the public intermediate role, identifies a preregistered activation-side candidate, decodes it through the J-lens, and compares the returned public label.", "context": "One future fixed open-model arithmetic fixture with preregistered layers, positions, vocabulary support, baseline, and public-intermediate-to-candidate selection rule.", "scale": "One model revision, one tokenizer revision, one prompt fixture, and one selected intermediate.", "sensitivity_scope": "Prospective tokenizer-relative decodability only; it does not measure full reasoning, binding, truth, or understanding.", "backgrounds": [ "The output-aligned construction can favor vocabulary concepts by design.", "Prompt text can prime the same numeral labels measured by the lens." ], "selection_effects": [ "Arithmetic numerals are unusually easy to name and may not generalize to multi-token or relation-rich concepts.", "Post hoc layer or token selection would overstate performance." ], "shared_factors": [ "same-model-revision", "same-tokenizer-revision", "same-prompt-fixture", "same-jacobian-estimator" ], "source_ref": null, "observed_on": null, "epistemic_access": "unknown", "run_status": "not-run", "result": "Not run; this case supplies no model output, activation, token ranking, or local reproduction record.", "limitations": [ "A successful readout would remain observational with respect to the proposed causal relation.", "A token label would not recover subject-predicate binding or complete computation." ] }, { "id": "coordinate-intervention-probe", "kind": "intervention", "description": "A planned coordinate edit tests whether the selected pulled-back direction contributes causally to the later answer.", "context": "The same future fixed fixture, with preregistered edit strength, decoding rule, and behavioral comparison.", "scale": "One selected layer-position coordinate and a bounded family of edit strengths within a declared safety envelope.", "sensitivity_scope": "Answer changes under one finite intervention; it does not identify the whole mechanism or prove on-manifold validity.", "backgrounds": [ "Finite edits can produce generic activation disruption.", "Other model components can regenerate the edited representation." ], "selection_effects": [ "A hand-selected successful coordinate can conceal failed directions.", "The arithmetic fixture may privilege a simple lexical intermediate." ], "shared_factors": [ "same-model-revision", "same-tokenizer-revision", "same-prompt-fixture", "same-jacobian-estimator" ], "source_ref": null, "observed_on": null, "epistemic_access": "unknown", "run_status": "not-run", "result": "Not run; no coordinate edit or later answer comparison exists in this case.", "limitations": [ "The averaged local derivative does not guarantee a finite edit remains on distribution.", "A changed answer would show causal contribution under the intervention, not complete reasoning or understanding." ] }, { "id": "matched-control-probe", "kind": "counterexample", "description": "A planned matched control tests whether a nonselected direction or sham edit explains the observed answer change equally well.", "context": "The same future fixed fixture and evaluator, with norm-, layer-, position-, and edit-strength matching.", "scale": "The selected coordinate, at least one control outside the selected sparse support, and one sham intervention.", "sensitivity_scope": "Specificity relative to declared controls only; it does not prove a unique workspace interpretation.", "backgrounds": [ "The full vocabulary span can cover the residual space and make an undefined J versus non-J comparison vacuous.", "Control directions can differ in model sensitivity despite norm matching." ], "selection_effects": [ "Choosing controls after seeing outcomes can manufacture apparent specificity.", "One control family cannot represent every alternative basis or circuit." ], "shared_factors": [ "same-model-revision", "same-tokenizer-revision", "same-prompt-fixture", "same-jacobian-estimator" ], "source_ref": null, "observed_on": null, "epistemic_access": "unknown", "run_status": "not-run", "result": "Not run; no matched-control, sham-intervention, or counterexample record exists in this case.", "limitations": [ "A selected sparse support and comparator must be named before J and non-J are meaningful experimental labels.", "Control failure would not by itself identify the competing mechanism." ] } ], "probe_dependencies": [ { "probe_ids": ["coordinate-intervention-probe", "readout-probe"], "relationship": "shared-systematic", "basis": "Both use the same model, tokenizer, prompt, Jacobian estimator, selected coordinate, and local evaluator." }, { "probe_ids": ["matched-control-probe", "readout-probe"], "relationship": "shared-systematic", "basis": "Both use the same fixture and selection pipeline, so a primed or post hoc coordinate can affect both." }, { "probe_ids": ["coordinate-intervention-probe", "matched-control-probe"], "relationship": "shared-systematic", "basis": "The intervention and control share the same model, prompt, estimator, edit implementation, and answer evaluator." } ], "candidate_models": [ { "id": "j-mediated-verbalizable-intermediate", "role": "working", "description": "A sparse vocabulary-aligned component both reports the selected public intermediate and contributes causally to the later answer in this fixture.", "assumptions": [ "The selected J-lens component is stable enough across the declared fixture to test.", "The matched controls are sensitive to generic disruption." ], "probe_assessments": [ { "probe_id": "readout-probe", "expectation": "The preregistered intermediate label is recoverable above the declared baseline.", "result": "unassessed", "residual": "No readout was run." }, { "probe_id": "coordinate-intervention-probe", "expectation": "The selected edit changes the later answer in the preregistered direction.", "result": "unassessed", "residual": "No coordinate intervention was run." }, { "probe_id": "matched-control-probe", "expectation": "The selected edit has greater specific effect than the matched and sham controls.", "result": "unassessed", "residual": "No controls were run." } ], "falsifier_or_refinement_condition": "Prospective decodability without a specific intervention effect would constrain the causal version of this model to readout correlation only.", "status": "unassessed" }, { "id": "correlated-readout-not-causal", "role": "alternative", "description": "The J-lens reads a token-aligned correlate produced alongside the computation, but that component is not needed for the later answer.", "assumptions": [ "Output-aligned content can be decodable without being a causal bottleneck.", "The answer computation may travel through another circuit." ], "probe_assessments": [ { "probe_id": "readout-probe", "expectation": "The intermediate label may still be decodable.", "result": "unassessed", "residual": "No readout was run." }, { "probe_id": "coordinate-intervention-probe", "expectation": "A sufficiently controlled edit does not specifically change the later answer.", "result": "unassessed", "residual": "No coordinate intervention was run." }, { "probe_id": "matched-control-probe", "expectation": "Selected and matched edits have comparable effects once generic disruption is controlled.", "result": "unassessed", "residual": "No controls were run." } ], "falsifier_or_refinement_condition": "A robust prospective selected-coordinate effect exceeding strong matched controls across held-out fixtures would constrain this noncausal account.", "status": "unassessed" }, { "id": "non-j-or-context-specific-computation", "role": "alternative", "description": "The material computation remains in context-specific or nonselected model structure and can regenerate or bypass the vocabulary-aligned component.", "assumptions": [ "Average Jacobians can obscure context-specific features.", "J-aligned and other components can interact bidirectionally." ], "probe_assessments": [ { "probe_id": "readout-probe", "expectation": "Readout can be weak, unstable, or present only after the computation is already determined.", "result": "unassessed", "residual": "No layer-position readout series was run." }, { "probe_id": "coordinate-intervention-probe", "expectation": "The model can repair, bypass, or regenerate the edited content.", "result": "unassessed", "residual": "No intervention or re-entry clamp was run." }, { "probe_id": "matched-control-probe", "expectation": "Alternative context-specific directions can match or exceed the selected effect.", "result": "unassessed", "residual": "No alternative-basis control was run." } ], "falsifier_or_refinement_condition": "Prospective multi-layer interventions with re-entry clamps and held-out transfer would constrain a complete bypass account while still allowing coupled computation.", "status": "unassessed" }, { "id": "unknown-estimator-or-tokenization-effect", "role": "unknown", "description": "An unspecified estimator, normalization, tokenization, prompt, evaluator, or implementation effect explains any apparent correspondence.", "assumptions": [ "The declared candidate set cannot exhaust unmodeled implementation and measurement effects." ], "probe_assessments": [ { "probe_id": "readout-probe", "expectation": "No unique prediction is available until the unknown effect is specified.", "result": "unassessed", "residual": "No readout or implementation comparison was run." }, { "probe_id": "coordinate-intervention-probe", "expectation": "No unique prediction is available until the unknown effect is specified.", "result": "unassessed", "residual": "No intervention or implementation comparison was run." }, { "probe_id": "matched-control-probe", "expectation": "No unique prediction is available until the unknown effect is specified.", "result": "unassessed", "residual": "No control or implementation comparison was run." } ], "falsifier_or_refinement_condition": "Replace this placeholder with a specific mechanism and discriminating prediction when one is identified.", "status": "unassessed" } ], "inference": { "method": "Compare a public argument diagram with a proposed J-space realization through prospective readout, intervention, and matched-control probes while retaining shared systematics and competing models.", "comparison_space": "Three declared public relations in one synthetic arithmetic fixture and their proposed layer-position-specific model realizations.", "current_conclusion": "The case specifies an inspectable test of a possible activation-to-expression relation; no probe has run, so none of the proposed relations, mechanisms, or interpretations is established.", "conclusion_status": "underdetermined", "declared_confidence": "unknown", "confidence_basis": "All probes are not run, all candidate assessments are unassessed, and every probe shares the same planned model, tokenizer, prompt, estimator, and evaluator family.", "unmodeled_alternatives": [ "A distributed multi-token representation not recoverable through the selected single-token directions.", "A relation-binding mechanism that the vocabulary-aligned coordinate chart does not represent.", "A generic off-manifold disruption that survives the proposed control family.", "A different public derivation strategy producing the same final answer." ], "next_discriminating_test": "Pin an open model and tokenizer, preregister the estimator, supports, positions, edit strengths, and controls, then run all three probes on held-out arithmetic and relation-binding fixtures with an independent implementation.", "stop_condition": "Do not promote this case beyond test design or use it for private-state, person, consciousness, identity, understanding, intent, deception, authority, consent, or action claims." }, "boundaries": { "representation_scope": "artifact-public", "privacy": "public-only", "actionability": "descriptive", "authority_scope": null, "authority_basis": null, "authority_ref": null, "consent_status": "not-applicable", "consent_subject": null, "consent_scope": null, "consent_basis": null, "consent_ref": null }, "harm_boundary": { "observable_effect": "No external harm or model effect is observed; the case names prospective risks of overreading activation labels, weak controls, and private-state monitoring.", "causal_status": "none-observed", "duty_status": "not-assessed", "intent_status": "not-assessed", "affected_relations": [ "Potential future reliance on a token label as if it were complete reasoning, identity, understanding, or intent." ], "next_repair_action": "If a future test fails or a claim exceeds its evidence, issue a linked correction, retain the failed probe, and narrow or withdraw the affected correspondence.", "unobserved_is_not_deception": true, "privacy_is_not_deception": true, "protective_nondisclosure_may_be_permissible": true }, "repair": { "relation": "original", "target_case_id": null, "reply_route": "Open a bounded review naming the failed relation, estimator, probe, control, or safety boundary.", "correction_route": "Create a new case linked as corrects or supersedes, preserve material public challenges, and rerun every affected probe.", "carry_challenges_forward": true, "retain_prior_nonsensitive_case": true }, "safety": { "proves_truth": false, "proves_hidden_cause": false, "proves_causation": false, "proves_fidelity": false, "proves_identity": false, "proves_understanding": false, "infers_intent": false, "labels_deception": false, "rates_people": false, "grants_authority": false, "grants_consent": false, "permits_surveillance": false } }