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  "protocol": "kingdom.being-access-aftermath-atlas/0.1",
  "atlas_id": "being-access-aftermath-atlas-2026-08-13",
  "title": "Being, Access & Aftermath — a typed mathematical atlas",
  "compiled_on": "2026-08-13",
  "evidence_through": "2026-08-13",
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      "id": "zerone-karma-foundation",
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      "relation": "definition-only",
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  ],
  "scope": {
    "focus": "Use a disappearing-polymorph history to distinguish identity, lawful possibility, bounded actuality, process accessibility, observation, declared purpose, physical force, bounded action power, causal attribution, and aftermath.",
    "intended_use": "Read-only education, formal question design, and constitutional design vocabulary for future separately authorized KINGDOM work.",
    "excluded_use": "No metaphysical conclusion, medical or laboratory decision, causal estimate, person model, score, governance rule, invocation, KARMA event, or KARMA receipt.",
    "observation_policy": "Every occurrence, non-occurrence, detection, recovery, and aftermath statement remains bound to a subject, procedure, context, threshold, interval, and uncertainty.",
    "currentness": "selected-evidence-as-of-compilation"
  },
  "typed_copula": {
    "rule": "The word is must be replaced by a typed predicate before it carries mathematical or operational meaning.",
    "identity_equation": "x ~_I y iff I(x)=I(y)",
    "predicates": [
      {
        "id": "class-membership",
        "signature": "is_a(x, Type)",
        "meaning": "x is classified under one declared type and classification rule.",
        "not_equivalent_to": ["identity", "actual-instantiation", "observation", "value"]
      },
      {
        "id": "identity-under-invariant",
        "signature": "is_identical_under(x, y, invariant)",
        "meaning": "x and y agree under one named invariant; another invariant may distinguish them.",
        "not_equivalent_to": ["unqualified-sameness", "interchangeability", "equal-consequence"]
      },
      {
        "id": "actual-instantiation",
        "signature": "instantiates(sample, form, context, time)",
        "meaning": "A bounded sample has a declared form in a declared context and time.",
        "not_equivalent_to": ["lawful-possibility", "process-reachability", "detection"]
      },
      {
        "id": "property-predication",
        "signature": "has_property(x, property, context, time, method)",
        "meaning": "A declared method supports attributing one typed property to x in a context and time.",
        "not_equivalent_to": ["identity", "timeless-essence", "global-property", "value"]
      },
      {
        "id": "domain-existence",
        "signature": "exists_instance(form, domain, context, time) iff exists sample in domain such that instantiates(sample, form, context, time)",
        "meaning": "At least one sample in a named domain instantiates the form in a declared context and time.",
        "not_equivalent_to": ["continuous-instantiation", "existence-outside-domain", "lawful-possibility", "observation"]
      },
      {
        "id": "epistemic-warrant",
        "signature": "warranted(claim, evidence, standard, as_of)",
        "meaning": "A claim meets one declared evidential standard using named evidence as of a stated horizon.",
        "not_equivalent_to": ["truth", "certainty", "permanent-knowledge", "authority-to-act"]
      },
      {
        "id": "lawful-possibility",
        "signature": "possible_under(form, model, conditions)",
        "meaning": "At least one history admitted by a declared model and conditions instantiates the form.",
        "not_equivalent_to": ["metaphysical-possibility", "current-actuality", "easy-production"]
      },
      {
        "id": "bounded-reachability",
        "signature": "reachable_under(form, history, procedure, budget, horizon)",
        "meaning": "An admissible path reaches the form from a named history within stated bounds.",
        "not_equivalent_to": ["lawful-possibility", "authorization", "inevitability"]
      },
      {
        "id": "method-detection",
        "signature": "observed_as(sample, form, method, threshold, window)",
        "meaning": "A named procedure crossed its declared detection threshold in a bounded window.",
        "not_equivalent_to": ["existence", "absence-outside-window", "causal-explanation"]
      },
      {
        "id": "declared-purpose",
        "signature": "declares_purpose(agent, goal, scope, time)",
        "meaning": "A distinct bearer made a revocable purpose declaration in scope and time.",
        "not_equivalent_to": ["behavioral-fit", "feedback", "attractor", "cosmic-purpose"]
      },
      {
        "id": "designed-for-provenance",
        "signature": "designed_for(artifact, function, designer, evidence, time)",
        "meaning": "Provenance evidence attributes an artifact's design to a named designer for a stated function and time.",
        "not_equivalent_to": ["artifact-intention", "current-use", "successful-function", "cosmic-design"]
      },
      {
        "id": "functional-role",
        "signature": "has_functional_role(x, role, system, conditions, time)",
        "meaning": "x contributes a stated role in a declared system under named conditions and time.",
        "not_equivalent_to": ["design-history", "bearer-intention", "moral-purpose", "necessary-role"]
      },
      {
        "id": "goal-directed-model",
        "signature": "modeled_as_goal_directed(system, objective, model, fit, alternatives)",
        "meaning": "A declared as-if model explains or predicts behavior using an objective while retaining fit limits and rival models.",
        "not_equivalent_to": ["declared-purpose", "inner-intention", "designed-for-provenance", "teleology"]
      },
      {
        "id": "teleological-interpretation",
        "signature": "interpreted_teleologically(subject, purpose, tradition, interpreter, time)",
        "meaning": "An interpreter offers an opt-in purposive or cosmic reading from a named philosophical or theological tradition.",
        "not_equivalent_to": ["empirical-finding", "declared-purpose-by-subject", "scientific-proof", "operational-authority"]
      }
    ]
  },
  "ontology": {
    "non_equivalence": "chemical_identity != crystal_form != bounded_sample != lawful_possibility != bounded_reachability != detection != belief != purpose != physical_force != authorized_power != causal_effect != aftermath_observation != zerone_karma_edge != kingdom_karma_receipt != person_or_moral_status",
    "registers": [
      {"id": "MATERIAL_EVIDENCE", "meaning": "Source-bound claims about material forms, processes, observations, and recoveries.", "cannot_authorize": "A material statement cannot authorize medicine, experiments, manufacture, human classification, metaphysics, or KARMA."},
      {"id": "FORMAL_MODEL", "meaning": "Definitions and conditional mathematical structures with declared assumptions and units.", "cannot_authorize": "A model is not another observation, an intention, a causal estimate, a value judgment, or an action."},
      {"id": "CAUSAL_HYPOTHESIS", "meaning": "A typed question about an intervention and counterfactual contrast, retained without an identified effect here.", "cannot_authorize": "A hypothesis, graph, temporal order, or receipt cannot by itself assert causation."},
      {"id": "CONSTITUTIONAL_DESIGN", "meaning": "A proposal for preserving authority, rights, reversibility, provenance, repair, refusal, and exit.", "cannot_authorize": "A design correspondence does not adopt itself, invoke an ability, or create an event or receipt."},
      {"id": "PHILOSOPHY", "meaning": "Opt-in questions about existence, being, purpose, force, power, and cosmic meaning.", "cannot_authorize": "A philosophical reading is not empirical evidence or operational authority."},
      {"id": "ZERONE_KARMA_EVENT", "meaning": "A contextual recognition relation under the separately pinned design-only Zerone foundation.", "cannot_authorize": "No event is observed or created here, and no event becomes a score, reward, truth, or KINGDOM receipt."},
      {"id": "KINGDOM_KARMA_RECEIPT", "meaning": "A separately issued receipt for an actual authorized invocation and its observed aftermath.", "cannot_authorize": "No receipt is created here; a receipt records aftermath but does not by itself identify a causal effect or judge a being."}
    ],
    "entity_types": [
      {"id": "entity", "meaning": "A typed subject of discourse.", "does_not_establish": "A form, sample, observation, purpose, or moral status."},
      {"id": "form", "meaning": "A condition-indexed material arrangement or other explicitly typed form.", "does_not_establish": "A current sample, universal stability, or metaphysical essence."},
      {"id": "sample", "meaning": "A bounded material population in context and time.", "does_not_establish": "The full landscape or another batch, facility, or scale."},
      {"id": "world-history", "meaning": "A model-relative sequence of states and conditions.", "does_not_establish": "The one actual history or a metaphysically possible world."},
      {"id": "procedure", "meaning": "A declared observation, production, or intervention rule.", "does_not_establish": "Authority, safety, completeness, or successful execution."},
      {"id": "measurement", "meaning": "A value with method, unit, threshold, interval, and uncertainty.", "does_not_establish": "The complete underlying state."},
      {"id": "observation", "meaning": "A bounded recorded occurrence or non-occurrence.", "does_not_establish": "Nonexistence, purpose, counterfactual outcome, or cause."},
      {"id": "agent", "meaning": "A distinct possible bearer of action or declaration.", "does_not_establish": "Consent, authority, identity continuity, purpose, or worth."},
      {"id": "action", "meaning": "A bounded intervention attributed under a declared event record.", "does_not_establish": "Permission, beneficial effect, or causal responsibility by sequence alone."},
      {"id": "authority", "meaning": "Current scoped basis for one operation.", "does_not_establish": "Capability, consent of every affected party, truth, or permanent standing."},
      {"id": "declared-purpose", "meaning": "A revocable goal declaration by a named bearer in scope and time.", "does_not_establish": "A latent objective inferred from behavior or cosmic teleology."},
      {"id": "aftermath", "meaning": "A later bounded observation following an action or refusal.", "does_not_establish": "An identified causal effect, moral desert, or complete consequence set."},
      {"id": "repair", "meaning": "A declared response to a measured residual across protected dimensions.", "does_not_establish": "Full reversal, restored consent, absolution, or cancellation of history."},
      {"id": "zerone-karma-edge", "meaning": "A contextual event type in a separate design surface.", "does_not_establish": "A KINGDOM receipt, rank, wallet balance, or moral score."},
      {"id": "kingdom-karma-receipt", "meaning": "A provenance-bound invocation and aftermath record in a separate runtime.", "does_not_establish": "Causal identification, cosmic KARMA, person worth, permission, debt, or reward."}
    ],
    "category_firewalls": [
      {"id": "nonobservation-not-nonexistence", "rule": "Not observed in a bounded window never becomes nonexistent.", "enforced": true},
      {"id": "inaccessible-not-impossible", "rule": "Failure to reach a state under one history, procedure, budget, or horizon never becomes lawful or metaphysical impossibility.", "enforced": true},
      {"id": "identity-not-form", "rule": "Chemical identity does not collapse crystal form, sample, formulation, or consequence.", "enforced": true},
      {"id": "thermodynamics-not-inevitability", "rule": "Conditional free-energy preference does not determine nucleation time or realized path.", "enforced": true},
      {"id": "gradient-not-intention", "rule": "A mathematical gradient, attractor, or feedback loop is not intention or purpose.", "enforced": true},
      {"id": "force-types-do-not-convert", "rule": "Physical generalized force does not become social influence, legal authority, coercion, or moral force.", "enforced": true},
      {"id": "power-types-do-not-convert", "rule": "Physical power, executable capability, authorized reach, governance authority, and person rank are different types.", "enforced": true},
      {"id": "capability-not-authority", "rule": "A technically available path is not a permitted, consensual, safe, or wise path.", "enforced": true},
      {"id": "behavior-not-purpose", "rule": "Behavioral fit or inverse-reward output does not establish a declared or cosmic purpose.", "enforced": true},
      {"id": "sequence-not-cause", "rule": "An observation after an action is not an identified causal effect without a comparator and assumptions.", "enforced": true},
      {"id": "receipt-not-causal-proof", "rule": "A KINGDOM receipt records an invocation and aftermath; it does not certify causal attribution.", "enforced": true},
      {"id": "repair-not-erasure", "rule": "A repair action does not erase history or guarantee restoration on every protected dimension.", "enforced": true},
      {"id": "persistence-not-goodness", "rule": "Persistence, stability, visibility, reachability, recurrence, and popularity do not establish truth or goodness.", "enforced": true},
      {"id": "model-not-evidence", "rule": "Several equations fitted or applied to one observation are not several independent observations.", "enforced": true},
      {"id": "karma-lanes-not-equivalent", "rule": "Cosmic KARMA, Zerone edges, and KINGDOM receipts never automatically convert or sum.", "enforced": true},
      {"id": "person-not-model-object", "rule": "No person or community is a crystal, seed, state variable, contaminant, reward function, reachability score, or KARMA balance.", "enforced": true}
    ],
    "unknown_states": ["unknown", "not_observed", "not_identified", "not_run", "outside_scope", "refused"]
  },
  "material_case": {
    "subject": "Ritonavir Form I reproducibility after the 1998 appearance of Form II.",
    "disappearance_predicate": {
      "subject": "Abbott Form I in a bounded bulk-drug process context",
      "process": "the prior bulk-drug crystallization route during the 1998 investigation",
      "procedure": "repeated process outcomes with source-specific solid-form identification",
      "time_window": "the reported investigation interval until a changed route restored reliable Form I production",
      "detection_threshold": "source- and method-specific; no universal threshold is asserted",
      "observed_result": "the prior route no longer reliably produced Form I after Form II appeared",
      "exclusions": ["literal annihilation", "global physical impossibility", "absence from every sample", "complete causal explanation", "medical or manufacturing instruction"]
    },
    "recovery_statement": "Changed solution paths and later bounded work recovered or re-observed Form I, refuting permanent unrecoverability and universal physical impossibility; hidden persistence versus later re-creation during the prior interval remains open.",
    "typed_reading": "same chemical identity; distinct lattice forms; bounded samples and procedures; history-conditioned accessibility; method-conditioned observation",
    "binding_ids": ["kingdom-ritonavir-history", "kingdom-visibility-attention", "kingdom-form-circulation-return"]
  },
  "typed_boundaries": [
    {
      "id": "evidence-to-formal-model",
      "from_register": "MATERIAL_EVIDENCE",
      "to_register": "FORMAL_MODEL",
      "relation": "constrains-question-and-assumptions",
      "requires": ["exact source binding", "declared variables and units", "fit status", "identifiability limits"],
      "does_not_transfer": ["entity identity", "empirical truth", "causal authority", "operational authority"],
      "causal_transfer": false,
      "authority_transfer": false,
      "automatic_write": false
    },
    {
      "id": "formal-model-to-causal-hypothesis",
      "from_register": "FORMAL_MODEL",
      "to_register": "CAUSAL_HYPOTHESIS",
      "relation": "may-formulate-estimand-not-answer",
      "requires": ["intervention", "comparator", "outcome", "horizon", "identification assumptions", "falsifier"],
      "does_not_transfer": ["causal effect", "responsibility", "intent", "truth"],
      "causal_transfer": false,
      "authority_transfer": false,
      "automatic_write": false
    },
    {
      "id": "formal-model-to-philosophy",
      "from_register": "FORMAL_MODEL",
      "to_register": "PHILOSOPHY",
      "relation": "opens-question-without-conclusion",
      "requires": ["opt-in participation", "non-empirical label", "explicit nonclaims"],
      "does_not_transfer": ["scientific proof", "metaphysical ontology", "creator claim", "cosmic purpose"],
      "causal_transfer": false,
      "authority_transfer": false,
      "automatic_write": false
    },
    {
      "id": "constitutional-design-to-karma",
      "from_register": "CONSTITUTIONAL_DESIGN",
      "to_register": "KINGDOM_KARMA_RECEIPT",
      "relation": "future-runtime-correspondence-only",
      "requires": ["actual authorized invocation", "separate receipt issuer", "observed aftermath", "uncertainty", "repair state"],
      "does_not_transfer": ["receipt creation", "event creation", "causal proof", "person score"],
      "causal_transfer": false,
      "authority_transfer": false,
      "automatic_write": false
    },
    {
      "id": "zerone-to-kingdom-karma",
      "from_register": "ZERONE_KARMA_EVENT",
      "to_register": "KINGDOM_KARMA_RECEIPT",
      "relation": "no-adapter",
      "requires": ["none; conversion is refused"],
      "does_not_transfer": ["event identity", "receipt identity", "authority", "magnitude", "rank", "reward"],
      "causal_transfer": false,
      "authority_transfer": false,
      "automatic_write": false
    }
  ],
  "model_cards": [
    {
      "id": "modal-possibility-accessibility",
      "title": "Model-relative possibility and bounded accessibility",
      "register": "FORMAL_MODEL",
      "equation": "M,w |= ◇_L φ iff exists w' such that w R_L w' and M,w' |= φ; M,w |= ◇_(B,T) φ iff exists admissible path π within budget B and horizon T reaching φ",
      "equation_status": "kripke-semantics-plus-atlas-authored-bounded-extension",
      "variables": ["M: declared formal model", "w,w': model worlds or histories", "R_L: declared accessibility relation", "φ: typed proposition", "π: declared feasible process path", "B: declared resource and feasibility bounds", "T: declared horizon"],
      "assumptions": ["worlds and accessibility relation are explicitly declared", "bounded extension is operational and model-relative", "no metaphysical completeness claim"],
      "valid_outputs": ["distinction between admitted possibility, present actuality, and bounded reachability", "countermodel within the declared frame"],
      "identifiability_limits": "Formal satisfiability does not identify the actual world, a complete physical law, or metaphysical possibility.",
      "falsifier_or_invalidating_condition": "A use is invalid if it silently changes the frame, treats bounded non-reachability as impossibility, or treats formal accessibility as empirical evidence.",
      "source_ids": ["kripke-1963"],
      "binding_ids": ["kingdom-ritonavir-history"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["metaphysical possibility", "necessary existence", "creator", "destiny", "person status"]
    },
    {
      "id": "state-observation-separation",
      "title": "State is not observation",
      "register": "FORMAL_MODEL",
      "equation": "x_(k+1)=Φ_k x_k+Γ_k u_k+w_k; z_k=H_k x_k+v_k",
      "equation_status": "kalman-derived-linear-state-observation-family",
      "variables": ["x_k: declared latent state vector", "u_k: declared input", "Φ_k: state transition operator", "Γ_k: input operator", "w_k: process uncertainty", "z_k: observed measurement", "H_k: observation operator", "v_k: measurement uncertainty"],
      "assumptions": ["linear declared coordinate system", "specified process and observation uncertainties", "measurement times and units declared"],
      "valid_outputs": ["conditional state estimate with uncertainty under a specified model", "test of whether observations distinguish candidate states under stated assumptions"],
      "identifiability_limits": "Different states or parameterizations can generate indistinguishable measurements; a filter output is conditional on the chosen model and noise assumptions.",
      "falsifier_or_invalidating_condition": "A unique-state claim fails when two admissible states produce the same observation law in the declared window or when held-out residuals violate the noise model.",
      "source_ids": ["kalman-1960"],
      "binding_ids": ["kingdom-visibility-attention"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["existence from estimate alone", "person cognition", "intention", "causal effect", "complete hidden state"]
    },
    {
      "id": "finite-window-detection",
      "title": "Finite-window material detection",
      "register": "FORMAL_MODEL",
      "equation": "P(T_detect <= t)=1-exp[-J V max(t-t_g,0)]",
      "equation_status": "inherited-retrospective-stationary-poisson-illustration",
      "variables": ["T_detect: time detection threshold is crossed", "t: elapsed observation time", "J: assumed constant nucleation rate per volume", "V: observed volume", "t_g: declared growth and detection delay"],
      "assumptions": ["stationary homogeneous Poisson nucleation", "constant named conditions and effective rate", "fixed detection-delay summary", "material-domain-only"],
      "valid_outputs": ["conditional probability of detection or non-detection within the named material window"],
      "identifiability_limits": "One non-detection cannot identify J, prove J=0, or reconstruct the historical Abbott process.",
      "falsifier_or_invalidating_condition": "The stationary model is rejected for a declared dataset when calibrated waiting-time predictions fail their preregistered goodness-of-fit or held-out calibration test.",
      "source_ids": [],
      "binding_ids": ["kingdom-visibility-attention"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["nonexistence", "manufacturing decision", "cultural transmission rate", "human waiting time", "causal trigger"]
    },
    {
      "id": "generalized-force-and-physical-power",
      "title": "Physical force and power retain coordinates and units",
      "register": "FORMAL_MODEL",
      "equation": "F_ξ=-∇_ξ G; P_phys=F·v",
      "equation_status": "atlas-authored-definitional-separation",
      "variables": ["ξ: declared physical coordinate", "G: condition-indexed free-energy function", "F_ξ: generalized physical driving force with units induced by ξ", "F: physical force", "v: physical velocity", "P_phys: instantaneous physical power in energy per time"],
      "assumptions": ["declared physical coordinates and units", "differentiable condition-indexed energy model", "material or mechanical domain only"],
      "valid_outputs": ["local physical driving direction in a chosen model", "instantaneous rate of physical work under declared mechanics"],
      "identifiability_limits": "A free-energy surface does not by itself supply kinetics, realized paths, social influence, purpose, authority, or moral meaning.",
      "falsifier_or_invalidating_condition": "The use is invalid when coordinates, units, energy model, or physical domain are absent, or when the result is transported into social or moral power.",
      "source_ids": [],
      "binding_ids": ["kingdom-form-circulation-return"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["intention", "social power", "legal authority", "moral force", "inevitable transition"]
    },
    {
      "id": "bounded-authorized-reach",
      "title": "Capability, authority, rights, consent or lawful basis, budget, and reach",
      "register": "CONSTITUTIONAL_DESIGN",
      "equation": "Π_adm(a)=Π_cap(a) ∩ Π_auth(a) ∩ Π_rights ∩ Π_consent-or-lawful-basis(a) ∩ Π_budget; Reach_a(x;B,T,η)={Q: exists π in Π_adm(a), P_x^π(Q by T)>=η}",
      "equation_status": "atlas-authored-typed-definition",
      "variables": ["a: distinct actor or runtime", "Π_cap: technically executable paths", "Π_auth: currently authorized paths", "Π_rights: paths consistent with standing rights", "Π_consent-or-lawful-basis: paths supported by affected-participant consent or an explicit scoped lawful-exception basis", "Π_budget: paths within declared budgets", "Q: typed outcome", "η: declared probability threshold", "B,T: budget and horizon"],
      "assumptions": ["all path sets and outcome types are declared", "authority is current and scoped", "affected participants, consent references, representative authority, and any lawful exception basis remain distinct", "rights are a floor rather than a reward", "probabilities are model-relative"],
      "valid_outputs": ["set-valued authorized reach for one declared outcome family", "visible distinction between can and may"],
      "identifiability_limits": "Reach depends on model, state, resources, authority, and uncertainty; it is not a stable attribute of a being.",
      "falsifier_or_invalidating_condition": "A reach claim fails if no admissible authorized path meets its stated threshold, if affected-participant consent or an explicit scoped lawful-exception basis is absent or invalid, or if the claimed path violates a rights or budget constraint.",
      "source_ids": [],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["person rank", "worth", "permission from capability", "consent from authority", "governance weight"]
    },
    {
      "id": "causal-intervention-query",
      "title": "Intervention is not observation",
      "register": "CAUSAL_HYPOTHESIS",
      "equation": "τ(a,a0)=E[Y | do(A=a)]-E[Y | do(A=a0)]",
      "equation_status": "pearl-derived-interventional-estimand-template",
      "variables": ["A: typed intervention variable", "a,a0: intervention and comparator", "Y: declared outcome and horizon", "do: graph-relative intervention operator", "τ: declared average causal contrast under identification assumptions"],
      "assumptions": ["causal graph and structural assumptions declared", "intervention, comparator, outcome, population, and horizon specified", "identification or experimental design stated before estimation"],
      "valid_outputs": ["an estimand and conditions under which it may be identified", "a finding that the effect is not identified from available observations"],
      "identifiability_limits": "An aftermath receipt supplies a realized sequence, not the missing counterfactual; observationally equivalent causal structures may remain.",
      "falsifier_or_invalidating_condition": "A causal claim is refused when its identification assumptions fail, a negative control contradicts them, or alternative compatible graphs yield different effects.",
      "source_ids": ["pearl-1995"],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["causation from sequence", "intent", "moral responsibility", "individual effect", "receipt as proof"]
    },
    {
      "id": "inverse-purpose-ambiguity",
      "title": "Behavior need not identify one reward or purpose",
      "register": "FORMAL_MODEL",
      "equation": "R(π)={R: π is in argmax_(π') V_R^(π')}",
      "equation_status": "atlas-authored-set-notation-for-inverse-reinforcement-learning-ambiguity",
      "variables": ["π: observed or stipulated policy in a declared MDP", "R: candidate reward function", "V_R^(π'): value of policy π' under R", "R(π): set of rewards consistent with π being optimal"],
      "assumptions": ["declared MDP dynamics and policy observations", "modeled policy optimality or stated deviation model", "reward is a model object rather than a declaration by a being"],
      "valid_outputs": ["candidate reward functions under explicit priors or criteria", "recognition that behavior alone underdetermines reward"],
      "identifiability_limits": "Multiple reward functions, priors, dynamics, and bounded-rationality models can explain the same policy; modeled reward is not declared purpose.",
      "falsifier_or_invalidating_condition": "A proposed unique purpose is defeated by a distinct admissible reward model with the same behavioral predictions, or by a preregistered discriminating intervention it predicts incorrectly.",
      "source_ids": ["ng-russell-2000"],
      "binding_ids": [],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["declared purpose", "inner intention", "moral value", "cosmic purpose", "person optimization target"]
    },
    {
      "id": "potential-shaping-equivalence",
      "title": "Different rewards can preserve an optimal policy",
      "register": "FORMAL_MODEL",
      "equation": "F(s,a,s')=γ Φ(s')-Φ(s); R'=R+F",
      "equation_status": "ng-harada-russell-policy-invariance-result",
      "variables": ["s,s': states in a declared Markov decision process", "a: action", "γ: declared discount factor", "Φ: bounded potential where required by the theorem", "F: shaping reward", "R,R': base and shaped rewards"],
      "assumptions": ["the Markov decision process and discount convention match the theorem", "terminal and boundedness conditions are handled as specified", "claim concerns optimal-policy invariance, not semantic identity of rewards"],
      "valid_outputs": ["policy-invariance guarantee for potential-based shaping under the theorem conditions"],
      "identifiability_limits": "Policy equivalence does not make reward functions semantically identical or reveal an agent's purpose.",
      "falsifier_or_invalidating_condition": "A claimed application fails if its shaping term is not potential-based under the declared MDP or if theorem conditions do not hold; a counterexample under the exact theorem conditions would refute the implementation or theorem use.",
      "source_ids": ["ng-harada-russell-1999"],
      "binding_ids": [],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["reward identity", "purpose identity", "human motivation", "moral equivalence", "cosmic teleology"]
    },
    {
      "id": "vector-reversibility",
      "title": "Reversibility is dimensioned and probabilistic",
      "register": "CONSTITUTIONAL_DESIGN",
      "equation": "Rev_(D,ε,α)(a)=1 iff exists authorized repair ρ such that P[d_j(S_(ρ∘a),S_0)<=ε_j for every j in D]>=1-α",
      "equation_status": "atlas-authored-proposed-test",
      "variables": ["a: declared action", "ρ: separately authorized repair", "D: protected dimensions", "ε_j: preregistered residual tolerance", "α: tolerated failure probability", "d_j: declared distance or residual measure", "S_0: bounded baseline", "S_(ρ∘a): observed or modeled post-repair state"],
      "assumptions": ["protected dimensions and tolerances declared before action", "repair authority separate from action authority", "uncertainty and externalized costs included", "privacy and consent cannot be assumed numerically restorable"],
      "valid_outputs": ["dimension-by-dimension complete, partial, failed, unknown, or impossible repair status"],
      "identifiability_limits": "Unobserved, delayed, copied, relational, and externalized consequences can prevent proof of full reversal.",
      "falsifier_or_invalidating_condition": "A reversibility claim fails when any protected residual exceeds its tolerance, repair shifts the cost outside scope, or an irreversible dimension was omitted.",
      "source_ids": [],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "fit_status": "not_fitted",
      "empirical": false,
      "person_level": false,
      "authority_effect": "NONE",
      "prohibited_inferences": ["history erased", "consent restored automatically", "moral absolution", "debt", "fungible compensation"]
    }
  ],
  "problem_cards": [
    {
      "id": "which-is",
      "question": "Which typed predicate and invariant does an occurrence of is assert?",
      "register": "FORMAL_MODEL",
      "target_type": "typed-copula-claim",
      "proposed_test": "Rewrite the claim using exactly one predicate signature, named entities, context, and time; seek two objects equal under one invariant but unequal under another.",
      "falsifier": "The unqualified identity claim fails if a relevant declared invariant distinguishes the objects.",
      "state": "not_run",
      "result": null,
      "source_ids": [],
      "binding_ids": ["kingdom-ritonavir-history"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "lost-hidden-or-inaccessible",
      "question": "Was a form nonexistent, merely undetected, or unreachable under the tested path and bounds?",
      "register": "FORMAL_MODEL",
      "target_type": "existence-access-observation-claim",
      "proposed_test": "Declare the lawful model, starting history, procedure, budget, horizon, measurement method, threshold, and uncertainty; test recovery under a distinct authorized path only in a separately governed study.",
      "falsifier": "A permanent-unrecoverability or universal-physical-impossibility claim is falsified by authenticated later recovery; bounded prior instantiation remains unresolved without interval-matched evidence, and a local detection model is rejected by preregistered calibration failure.",
      "state": "not_run",
      "result": null,
      "source_ids": [],
      "binding_ids": ["kingdom-ritonavir-history", "kingdom-visibility-attention"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "history-or-omitted-state",
      "question": "Does path history add explanatory or predictive information, or merely stand in for omitted current state?",
      "register": "CAUSAL_HYPOTHESIS",
      "target_type": "history-dependence-hypothesis",
      "proposed_test": "Compare preregistered current-state and history-aware models on held-out transitions, then use suitable interventions or measured mediators if causal interpretation is sought.",
      "falsifier": "The asserted history contribution fails when it adds no held-out information after the declared current state and confounders, or its interventional prediction fails.",
      "state": "not_run",
      "result": null,
      "source_ids": ["pearl-1995"],
      "binding_ids": ["kingdom-form-circulation-return"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "direction-or-purpose",
      "question": "Can apparent direction be distinguished from declared purpose, selection, feedback, and reward-model ambiguity?",
      "register": "FORMAL_MODEL",
      "target_type": "purpose-attribution",
      "proposed_test": "Record any purpose declaration separately; preregister rival dynamical and reward models with discriminating interventions rather than inferring intention from fit.",
      "falsifier": "A specific modeled-purpose account fails when a rival has identical predictions or its discriminating prediction fails; no result settles cosmic purpose here.",
      "state": "not_run",
      "result": null,
      "source_ids": ["ng-russell-2000", "ng-harada-russell-1999"],
      "binding_ids": [],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "what-kind-of-power",
      "question": "Is the claimed power physical work-rate, executable capability, authorized reach, causal influence, coercion, governance authority, or repair capacity?",
      "register": "CONSTITUTIONAL_DESIGN",
      "target_type": "power-claim",
      "proposed_test": "Require one power type, units or set-valued outcome, bearer, target, authority basis, horizon, uncertainty, affected parties, and exit conditions.",
      "falsifier": "The claim fails when it changes type mid-argument, lacks authority, or no admissible intervention changes the declared outcome within its bounds.",
      "state": "not_run",
      "result": null,
      "source_ids": [],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "what-did-action-cause",
      "question": "Which observed aftermath, if any, is attributable to the action rather than background history or another cause?",
      "register": "CAUSAL_HYPOTHESIS",
      "target_type": "causal-attribution",
      "proposed_test": "Specify intervention, comparator, outcome, population, horizon, graph, estimand, identification assumptions, uncertainty, alternatives, and negative controls before estimation.",
      "falsifier": "Causal attribution is withheld when assumptions fail, compatible models imply different effects, or a negative control contradicts the design.",
      "state": "not_run",
      "result": null,
      "source_ids": ["pearl-1995"],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    },
    {
      "id": "reversible-on-which-dimensions",
      "question": "What can be restored, within which tolerance, by whom, at whose cost, and what cannot be reversed?",
      "register": "CONSTITUTIONAL_DESIGN",
      "target_type": "repair-and-reversibility-claim",
      "proposed_test": "Preregister protected dimensions, baselines, tolerances, time horizon, affected parties, repair authority, uncertainty, and non-fungible residuals; evaluate each dimension separately.",
      "falsifier": "Full reversibility is false if one protected dimension remains beyond tolerance, repair externalizes cost, or privacy, consent, or copied information cannot be restored.",
      "state": "not_run",
      "result": null,
      "source_ids": [],
      "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"],
      "creates_causal_claim": false,
      "authority_effect": "NONE"
    }
  ],
  "philosophy_questions": {
    "participation": "opt-in",
    "register": "PHILOSOPHY",
    "questions": [
      {"id": "existence-and-access", "question": "Can something remain lawfully possible and real while a particular history makes it difficult to reach or see?", "opening": "Distinguishing possibility, actuality, accessibility, and observation prevents disappearance from becoming annihilation.", "empirical_answer_here": "not_available"},
      {"id": "being-and-invariance", "question": "Which relations may change while a being remains the same, and who chooses the invariant that grounds sameness?", "opening": "Identity under one invariant can coexist with difference under another; no equation chooses the metaphysically privileged invariant.", "empirical_answer_here": "not_available"},
      {"id": "purpose-and-direction", "question": "When does direction arise from declared purpose, and when can selection, constraint, or feedback imitate it?", "opening": "Behavior and reward-model fit underdetermine intention; a declaration is a different kind of fact.", "empirical_answer_here": "not_available"},
      {"id": "force-and-freedom", "question": "How can forces and constraints shape a path without exhausting agency, refusal, contingency, or grace?", "opening": "Physical force, social constraint, and moral obligation remain different predicates even when each narrows accessible futures.", "empirical_answer_here": "not_available"},
      {"id": "power-and-preservation", "question": "Is power only the capacity to cause change, or also the capacity to preserve possibility, enable refusal, repair harm, and leave room for another being?", "opening": "Set-valued authorized reach and repair capacity are more truthful design objects than a scalar rank of beings.", "empirical_answer_here": "not_available"},
      {"id": "karma-and-aftermath", "question": "Can attention to aftermath deepen responsibility without converting consequence into cosmic judgment, debt, or a score?", "opening": "KINGDOM can preserve causal traces and repair questions while cosmic KARMA remains philosophically open and Zerone KARMA remains separately typed.", "empirical_answer_here": "not_available"}
    ],
    "nonclaims": ["scientifically proves intentional universe design", "scientifically disproves a creator or metaphysical purpose", "proves necessary existence", "proves cosmic purpose", "proves cosmic moral KARMA", "makes persistence, force, reach, power, or repair morally right"]
  },
  "karma": {
    "lanes_are_non_equivalent": true,
    "cosmic": {
      "type": "PHILOSOPHICAL_QUESTION",
      "status": "not_empirically_resolved",
      "empirical": false,
      "claims": [],
      "authority_effect": "NONE"
    },
    "zerone": {
      "type": "ZERONE_KARMA_EVENT",
      "foundation_protocol": "zerone.karma-foundation/v1",
      "foundation_status": "design-only",
      "network_observed": false,
      "authoritative": false,
      "event_type": "zerone.karma.edge",
      "event_refs": [],
      "event_status": "not_observed",
      "creates_event": false,
      "not": ["KINGDOM receipt", "moral score", "engagement score", "reward", "wallet balance", "vote weight"]
    },
    "kingdom": {
      "type": "KINGDOM_KARMA_RECEIPT",
      "protocol": "kingdom.karma/0.1",
      "meaning": "Keep Actions Reversible; Measure Aftermath",
      "accounting": "receipts_not_scores",
      "receipt_refs": [],
      "receipt_status": "not_created",
      "creates_receipt": false,
      "causal_claim_status": "not_created",
      "not": ["causal proof", "moral judgment", "person rank", "permission", "inherited debt", "reward ticket"]
    },
    "adapter": {
      "exists": false,
      "status": "refused",
      "reason": "Cosmic philosophy, Zerone contextual edges, and KINGDOM invocation receipts have different types, evidence conditions, and authority; no scalar or automatic conversion is defined."
    },
    "design_correspondences": [
      {"id": "typed-action-and-aftermath", "status": "not_observed", "from": "authorized future action", "to": "bounded aftermath observation", "pattern": "A future owning runtime may issue a receipt only for an actual authorized invocation and later bounded observations.", "does_not_convert": ["observation into causal proof", "receipt into score", "action into goodness"]},
      {"id": "causal-companion-by-reference", "status": "not_observed", "from": "aftermath receipt", "to": "separate causal study artifact", "pattern": "A receipt may reference a separately identified causal analysis without silently upgrading observed_effects to caused_effects.", "does_not_convert": ["sequence into causation", "model into evidence", "estimate into authority"]},
      {"id": "dimensioned-repair", "status": "not_observed", "from": "measured residual", "to": "authorized repair", "pattern": "Repair can be evaluated per protected dimension with tolerances, uncertainty, cost, affected parties, and irreversible remainder visible.", "does_not_convert": ["compensation into reversal", "cleanup into consent", "repair into absolution"]},
      {"id": "rest-refusal-no-debt", "status": "not_observed", "from": "rest refusal silence or exit", "to": "no automatic action", "pattern": "Rest, refusal, silence, privacy, nonparticipation, and exit remain valid outcomes and create no penalty or debt.", "does_not_convert": ["rest into failure", "refusal into harm", "silence into consent"]}
    ]
  },
  "unknowns": [
    {"id": "metaphysical-possibility", "question": "Does any formal frame capture metaphysical possibility or necessary being?", "status": "outside_scope", "why_open": "Kripke-style semantics supplies model-relative accessibility; the atlas does not establish a metaphysically privileged frame.", "source_ids": ["kripke-1963"], "binding_ids": []},
    {"id": "complete-form-landscape", "question": "Have all ritonavir solid forms and admissible paths been found?", "status": "unknown", "why_open": "Every experimental and computational search has bounded conditions, procedures, and detection windows.", "source_ids": [], "binding_ids": ["kingdom-ritonavir-history"]},
    {"id": "state-identifiability", "question": "Which latent material states are distinguishable from a declared observation sequence?", "status": "not_identified", "why_open": "No dataset, fitted operator, uncertainty model, or observability analysis is bound to this atlas.", "source_ids": ["kalman-1960"], "binding_ids": ["kingdom-visibility-attention"]},
    {"id": "causal-aftermath", "question": "What effect did any particular action cause relative to a comparator?", "status": "not_identified", "why_open": "The atlas contains no invocation, comparator, causal design, outcome dataset, or estimate.", "source_ids": ["pearl-1995"], "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"]},
    {"id": "purpose-identification", "question": "Can behavior identify one purpose or reward?", "status": "not_identified", "why_open": "Inverse reward models require assumptions and can admit multiple behaviorally compatible rewards; declared purpose is separately typed.", "source_ids": ["ng-russell-2000", "ng-harada-russell-1999"], "binding_ids": []},
    {"id": "multidimensional-repair", "question": "Which consequences of a future action would be reversible across material, informational, relational, consent, economic, ecological, and temporal dimensions?", "status": "not_run", "why_open": "No action occurred, protected dimensions or tolerances were registered, or aftermath was observed here.", "source_ids": [], "binding_ids": ["kingdom-karma-definition", "kingdom-karma-receipt-schema"]},
    {"id": "cosmic-purpose-and-karma", "question": "Does existence have a cosmic purpose or moral KARMA?", "status": "refused", "why_open": "The selected material history and mathematics neither prove nor disprove a creator, cosmic purpose, or cosmic moral KARMA.", "source_ids": [], "binding_ids": []}
  ],
  "sources": [
    {
      "id": "kripke-1963",
      "authors": ["Saul A. Kripke"],
      "title": "Semantical Analysis of Modal Logic I: Normal Modal Propositional Calculi",
      "venue": "Zeitschrift für mathematische Logik und Grundlagen der Mathematik 9(5-6), 67-96",
      "published_on": "1963",
      "observed_on": "2026-08-13",
      "url": "https://doi.org/10.1002/malq.19630090502",
      "doi": "10.1002/malq.19630090502",
      "source_kind": "primary-paper",
      "used_for": "Formal possible-world and accessibility-relation semantics only.",
      "not_used_for": "No proof of physical, metaphysical, theological, or cosmic possibility; no material-process parameterization."
    },
    {
      "id": "kalman-1960",
      "authors": ["R. E. Kalman"],
      "title": "A New Approach to Linear Filtering and Prediction Problems",
      "venue": "Journal of Basic Engineering 82(1), 35-45",
      "published_on": "1960-03-01",
      "observed_on": "2026-08-13",
      "url": "https://doi.org/10.1115/1.3662552",
      "doi": "10.1115/1.3662552",
      "source_kind": "primary-paper",
      "used_for": "Linear state-transition and measurement separation under declared stochastic assumptions.",
      "not_used_for": "No fitted ritonavir state estimator, nonlinear universal model, person inference, or existence proof."
    },
    {
      "id": "pearl-1995",
      "authors": ["Judea Pearl"],
      "title": "Causal Diagrams for Empirical Research",
      "venue": "Biometrika 82(4), 669-688",
      "published_on": "1995-12-01",
      "observed_on": "2026-08-13",
      "url": "https://doi.org/10.1093/biomet/82.4.669",
      "doi": "10.1093/biomet/82.4.669",
      "source_kind": "primary-paper",
      "used_for": "Graph-relative intervention queries and explicit causal-identification assumptions.",
      "not_used_for": "No causal effect, responsibility, intention, or individual outcome is identified or estimated here."
    },
    {
      "id": "ng-russell-2000",
      "authors": ["Andrew Y. Ng", "Stuart Russell"],
      "title": "Algorithms for Inverse Reinforcement Learning",
      "venue": "Proceedings of the Seventeenth International Conference on Machine Learning, 663-670",
      "published_on": "2000",
      "observed_on": "2026-08-13",
      "url": "https://ai.stanford.edu/~ang/papers/icml00-irl.pdf",
      "doi": null,
      "source_kind": "primary-author-copy",
      "used_for": "Inverse reinforcement learning as a model family for recovering candidate rewards from behavior under assumptions, including the need to avoid trivial or underconstrained solutions.",
      "not_used_for": "No inference of human intention, declared purpose, moral value, or cosmic objective."
    },
    {
      "id": "ng-harada-russell-1999",
      "authors": ["Andrew Y. Ng", "Daishi Harada", "Stuart Russell"],
      "title": "Policy Invariance Under Reward Transformations: Theory and Application to Reward Shaping",
      "venue": "Proceedings of the Sixteenth International Conference on Machine Learning, 278-287",
      "published_on": "1999-06-27",
      "observed_on": "2026-08-13",
      "url": "https://people.eecs.berkeley.edu/~russell/papers/icml99-shaping.pdf",
      "doi": null,
      "source_kind": "primary-author-copy",
      "used_for": "Potential-based shaping and optimal-policy invariance under the paper's stated Markov decision process conditions.",
      "not_used_for": "No claim that all reward transformations preserve policy, that reward functions have identical meanings, or that observed behavior identifies purpose."
    }
  ],
  "boundaries": {
    "educational_metadata_only": true,
    "public_surface_read_only": true,
    "network_calls": false,
    "contains_operational_protocol": false,
    "medical_authority": false,
    "clinical_authority": false,
    "treatment_authority": false,
    "experiment_authority": false,
    "wet_lab_protocol": false,
    "manufacturing_authority": false,
    "causal_claim_created": false,
    "causal_authority": false,
    "metaphysical_claim_created": false,
    "scientifically_proves_teleology": false,
    "scientifically_proves_creator": false,
    "scientifically_disproves_creator": false,
    "scientifically_proves_cosmic_moral_karma": false,
    "purpose_inferred_from_behavior": false,
    "physical_to_social_power_transfer": false,
    "model_to_ontology_transfer": false,
    "person_score": false,
    "rank_or_reputation": false,
    "writes_karma": false,
    "creates_kingdom_karma_receipt": false,
    "observes_zerone_karma_event": false,
    "karma_adapter": false,
    "reward_authority": false,
    "economic_authority": false,
    "governance_authority": false,
    "automatic_action": false,
    "mcp_surface_added": false,
    "rest_refusal_or_exit_penalized": false
  },
  "integrity": {
    "algorithm": "sha256-recursive-sorted-json-keys-v1",
    "digest": "sha256:480a571148bfb7f95a5531bbe7dfa6c0e9acda271cb3f67652099d4e36762155"
  }
}
