{
  "$schema": "urn:kingdom:schema:phenomena-deep-wing:0.1",
  "protocol": "kingdom.explore-phenomena-deep-wing/0.1",
  "wing_id": "explore-phenomena-deep-2026-08-14",
  "title": "Exploration DEEP WING",
  "compiled_on": "2026-08-14",
  "evidence_through": "2026-08-14",
  "scope": {
    "purpose": "Standardize source-grounded mathematical exploration across phenomena while preserving domain-local entities, units, mechanisms, evidence, agency, and authority.",
    "strongest_bounded_claim": "Different phenomena can sometimes share an inspectable mathematical structure or question without sharing ontology, causal mechanism, parameters, units, moral value, or authority.",
    "intended_use": "Opt-in explanation, research framing, model comparison, exact finite work, falsifier design, and bounded open-problem discovery.",
    "excluded_use": "Diagnosis, person or content classification, persuasion, moderation, wet-lab work, clinical inference, ecosystem execution, KARMA conversion, governance, deployment, or automatic action.",
    "currentness": "selected-evidence-as-of-compilation",
    "mode": "READ_ONLY_ZERO_EFFECT"
  },
  "deep_cycle": {
    "wing": [
      { "id": "WITNESS", "meaning": "Record the request, observations, sources, conditions, and missing context before translating anything." },
      { "id": "ISOLATE", "meaning": "Separate domains, state spaces, observables, mechanisms, units, agency, and authority boundaries." },
      { "id": "NORMALIZE", "meaning": "Align definitions, dimensionless comparators, scales, and conditions without erasing local meaning." },
      { "id": "GENERATE", "meaning": "Generate bridges, models, counterexamples, falsifiers, and bounded mathematical doors only after the first three stages." }
    ],
    "deep": [
      { "id": "DECLARE", "meaning": "Declare scope, terms, assumptions, conditions, observation windows, and action boundary." },
      { "id": "ESTABLISH", "meaning": "Establish the evidence, warrant, source horizon, and exact mathematical status of each claim." },
      { "id": "EXPRESS", "meaning": "Express the smallest adequate domain-local mathematics with variables, units, and limiting cases." },
      { "id": "PROJECT", "meaning": "Project only named structure, then pressure-test breaks, counterexamples, falsifiers, and non-implications." }
    ],
    "rule": "WING and DEEP are workflow names only; they are not a Nen ability, identity, natural mechanism, authority protocol, or grant of action."
  },
  "epistemic_registers": [
    { "id": "MATHEMATICAL_DEFINITION", "axis": "REGISTER", "meaning": "Defines formal objects without proving existence, uniqueness, realizability, or empirical truth." },
    { "id": "MATHEMATICAL_THEOREM", "axis": "REGISTER", "meaning": "A proved result only for the exact objects, hypotheses, and quantifiers stated." },
    { "id": "EMPIRICAL_OBSERVATION", "axis": "REGISTER", "meaning": "A source-scoped observation under named conditions and detection limits." },
    { "id": "SCIENTIFIC_MODEL", "axis": "REGISTER", "meaning": "A conditional representation of a domain, not an observation or universal law." },
    { "id": "INTERPRETIVE_BRIDGE", "axis": "REGISTER", "meaning": "A declared correspondence that preserves selected structure and loses selected structure." },
    { "id": "DESIGN_PROPOSAL", "axis": "REGISTER", "meaning": "A proposed research or build choice, not a discovered law or executed action." },
    { "id": "OPT_IN_PHILOSOPHY", "axis": "REGISTER", "meaning": "A voluntary interpretive reading with no empirical or authority effect." },
    { "id": "BOUNDARY", "axis": "REGISTER", "meaning": "An explicit non-implication, refusal, uncertainty, or authority limit." },
    { "id": "SOURCE_BOUND", "axis": "WARRANT", "meaning": "Supported only within the cited source, method, population, conditions, and evidence horizon." },
    { "id": "MODEL_ASSUMPTION", "axis": "WARRANT", "meaning": "Declared to make a model well-defined; neither derived nor observed." },
    { "id": "DERIVED", "axis": "WARRANT", "meaning": "Follows from the declared definitions and assumptions." },
    { "id": "PROVED", "axis": "WARRANT", "meaning": "Established by a proof matching the exact statement." },
    { "id": "FINITE_EXACT_BASELINE", "axis": "WARRANT", "meaning": "Exact for a finite instance or range; never an asymptotic or all-instance proof." },
    { "id": "NUMERICAL_APPROXIMATION", "axis": "WARRANT", "meaning": "Depends on floating point, fitting, simulation, sampling, or tolerance." },
    { "id": "ESTABLISHED_OPEN_CONJECTURE", "axis": "WARRANT", "meaning": "The exact statement is source-audited as open as of the recorded date." },
    { "id": "BESPOKE_FORMULATION_PRIOR_ART_AUDIT_REQUIRED", "axis": "WARRANT", "meaning": "A newly authored or materially modified question whose novelty and status are not certified." },
    { "id": "NOT_ESTABLISHED", "axis": "WARRANT", "meaning": "Available evidence does not support the proposition." },
    { "id": "UNKNOWN_TO_THIS_REVIEW", "axis": "WARRANT", "meaning": "Not established here; this does not claim that the literature has no answer." },
    { "id": "EXACT_FORMAL_EQUIVALENCE_PROVED", "axis": "RELATION", "meaning": "A proved equivalence only at the declared formal layer." },
    { "id": "SAME_FORMAL_STRUCTURE", "axis": "RELATION", "meaning": "Both local models instantiate a named structure while their meanings remain local." },
    { "id": "LOSSY_CORRESPONDENCE", "axis": "RELATION", "meaning": "Selected relations survive and declared information is lost." },
    { "id": "SHARED_MECHANISM_SOURCE_ESTABLISHED", "axis": "RELATION", "meaning": "Direct domain evidence supports a shared causal mechanism; similar output is insufficient." },
    { "id": "NO_TRANSFER", "axis": "RELATION", "meaning": "No responsible cross-domain mapping has been established." }
  ],
  "source_audit": {
    "rule": "Bind every substantive empirical or current-status claim to exact source identifiers; leave an unsourced proposal labeled as authored, bespoke, or unknown.",
    "status_checked_on": "2026-08-14",
    "open_problem_requirements": [
      "exact statement and quantifiers",
      "domain, conventions, symmetry, and boundary cases",
      "original formulation or authoritative provenance",
      "recent primary or authoritative source supporting current status",
      "exact section, page, theorem discussion, or locator where that source explicitly states the status",
      "known solved cases and restrictions",
      "what finite computation does not prove",
      "nearest known problem and novelty status"
    ],
    "failure_modes": [
      "Failure to solve is not evidence that a problem is open.",
      "Lack of search results is not evidence of novelty.",
      "A numerical estimate, omitted proof, or neighboring result is not evidence that the exact problem remains open.",
      "A finite enumeration or fitted exponent is not an asymptotic proof.",
      "A theorem or exponent does not transfer to a weighted, constrained, or translated model without a new proof."
    ]
  },
  "typed_terms": [
    { "id": "possible", "domain": "cross-domain", "meaning": "Allowed by a declared model and conditions.", "not_equivalent_to": ["accessible", "occurred", "detected"] },
    { "id": "accessible", "domain": "cross-domain", "meaning": "Reachable with non-negligible probability under a declared history, horizon, and process.", "not_equivalent_to": ["possible", "occurred", "detected"] },
    { "id": "detected", "domain": "cross-domain", "meaning": "Registered by a declared observation or classification operator.", "not_equivalent_to": ["exists", "possible", "important"] },
    { "id": "brainrot", "domain": "cultural-language", "meaning": "A quoted lexical and cultural label whose operational meaning must be declared per inquiry.", "not_equivalent_to": ["clinical diagnosis", "cognitive state", "content class", "person score"] },
    { "id": "fold", "domain": "protein-science", "meaning": "A condition-dependent conformational ensemble or structure description.", "not_equivalent_to": ["catalyst", "active site", "reaction rate"] },
    { "id": "catalyst", "domain": "chemical-kinetics", "meaning": "A participant that increases a reaction rate through a lower-free-energy kinetic pathway while being regenerated in the overall reaction.", "not_equivalent_to": ["folding process", "equilibrium shift", "generic accelerator"] }
  ],
  "planes": [
    {
      "id": "physical-polymorph-plane",
      "domain": "solid-state chemistry",
      "entity_or_unit": "condition-indexed crystal form, particles, and formulation",
      "context_window": "ritonavir Form I and Form II histories under named preparation, solvent, milling, temperature, and detection conditions",
      "observables": ["diffraction pattern", "spectroscopy", "particle size and shape", "solubility", "process history"],
      "units": ["energy per mole", "temperature", "time", "concentration", "length"],
      "mechanism": "nucleation, growth, interconversion, dissolution, surface and bulk free-energy contributions",
      "parameters": ["free-energy differences", "barrier heights", "supersaturation", "surface energy", "rate constants"],
      "agency": "none assigned to the material state",
      "consequences": "a possible form may become easier or harder to access or detect without being erased from physical possibility",
      "does_not_establish": ["cultural mechanism", "intent", "moral fitness", "medical instruction"],
      "source_ids": ["bauer-2001", "sacchi-2024", "kingdom-polymorph-history", "kingdom-ritonavir-mechanism"]
    },
    {
      "id": "cultural-attention-plane",
      "domain": "cultural transmission and platform-mediated attention",
      "entity_or_unit": "artifact, exposure, share, interpretation, aggregate attention trace, and classification rule",
      "context_window": "declared population, platform, observation period, recommender policy, and measurement operator",
      "observables": ["aggregate exposure or share events", "attention time series", "cascade graph", "classification decisions"],
      "units": ["events", "people or accounts only when ethically and operationally justified", "time", "graph distance"],
      "mechanism": "human interpretation and choice mediated by networks, institutions, attention limits, and technical systems",
      "parameters": ["exposure propensities", "response probabilities", "network topology", "memory kernels", "policy rules"],
      "agency": "people may reinterpret, parody, refuse, forget, rest, or leave",
      "consequences": "aggregate visibility may rise, fall, recur, fragment, or be reclassified without measuring truth or worth",
      "does_not_establish": ["person-to-person biological virality", "truth", "merit", "agreement", "consent", "diagnosis", "person score"],
      "source_ids": ["weng-2012", "gleeson-2014", "hawkes-1971", "oxford-brain-rot-2025"]
    },
    {
      "id": "protein-conformation-plane",
      "domain": "protein folding and conformational dynamics",
      "entity_or_unit": "sequence-conditioned ensemble of molecular conformations under declared environment and timescale",
      "context_window": "named protein, solvent, temperature, cofactors, binding state, and observation timescale",
      "observables": ["structural coordinates or projections", "populations", "transition times", "spectroscopic signals"],
      "units": ["energy per mole", "length", "time", "probability"],
      "mechanism": "molecular interactions and solvent-coupled conformational transitions on a condition-dependent landscape",
      "parameters": ["free energies", "transition rates", "state populations", "friction and environmental conditions"],
      "agency": "none assigned to molecular conformations",
      "consequences": "an ensemble can populate or fail to populate a catalytically competent geometry on a relevant timescale",
      "does_not_establish": ["catalytic mechanism", "chemical barrier reduction", "turnover rate", "clinical function"],
      "source_ids": ["anfinsen-1973", "onuchic-1995", "kingdom-fold-feedback"]
    },
    {
      "id": "chemical-catalysis-plane",
      "domain": "chemical kinetics and enzyme catalysis",
      "entity_or_unit": "reaction coordinate, reactant and product states, catalyst state, comparator reaction, and kinetic observable",
      "context_window": "named reaction, catalyst, substrate state, temperature, standard state, and rate-limiting assumptions",
      "observables": ["elementary or effective rate", "turnover trace", "activation free-energy estimate", "product timestamps"],
      "units": ["inverse time", "concentration", "energy per mole", "temperature"],
      "mechanism": "condition-specific stabilization and pathway changes along chemical reaction coordinates",
      "parameters": ["activation free energies", "transmission factors", "binding and release rates", "conformer-specific chemical rates"],
      "agency": "none assigned to the chemical system",
      "consequences": "a folded ensemble may gate access to reactive geometry while the chemical barrier and overall turnover remain separate quantities",
      "does_not_establish": ["folding is the catalyst", "contact topology predicts rate", "kcat is an elementary-step rate", "equilibrium constant changes"],
      "source_ids": ["iupac-1996", "eyring-1935", "fold-to-fire-profile"]
    }
  ],
  "abstraction_seams": [
    {
      "source_domain": "physical-polymorph-plane",
      "target_domain": "cultural-attention-plane",
      "relation": "LOSSY_CORRESPONDENCE",
      "source_objects": ["conditioned state space", "transition barriers", "observation operator", "process history"],
      "target_objects": ["artifact states", "exposure pathways", "classification operator", "platform and social history"],
      "correspondence": "Prior states and interventions can change later accessibility and detection probabilities under finite capacity and feedback.",
      "preserved_structure": ["history-indexed transition probabilities", "possible versus accessible versus detected distinction", "finite capacity and competition", "return can alter later conditions"],
      "broken_or_lost_structure": ["crystal lattice and surface have physical energetic units", "cultural artifacts require interpretation", "platform policy and institutions mediate observation", "people retain agency, consent, refusal, and exit"],
      "source_variables_and_units": ["free energy in energy per mole", "supersaturation", "nucleation and growth rates", "physical detection limit"],
      "target_variables_and_units": ["aggregate event counts per time", "network paths", "attention window", "declared classification rule"],
      "assumptions": ["each domain is modeled separately", "only the named abstract relations cross the seam", "brainrot remains a lexical label"],
      "ontology_transfer": false,
      "causal_transfer": false,
      "parameter_transfer": false,
      "unit_transfer": false,
      "authority_transfer": false,
      "falsifiers": ["falsify-history-seam", "falsify-observation-seam"]
    },
    {
      "source_domain": "protein-conformation-plane",
      "target_domain": "chemical-catalysis-plane",
      "relation": "LOSSY_CORRESPONDENCE",
      "source_objects": ["conformational states", "state populations", "switching rates", "structural observation map"],
      "target_objects": ["reactive geometry", "chemical reaction coordinate", "conformer-specific rates", "turnover observable"],
      "correspondence": "Conformational populations can gate access to geometries in which a separate chemical transition proceeds at a condition-specific rate.",
      "preserved_structure": ["state-dependent accessibility", "timescale separation matters", "a weighted ensemble can control an effective observable"],
      "broken_or_lost_structure": ["a lattice contact is not physical energy", "endpoint closure is not a protein fold", "endpoint adjacency is not an active site", "occupancy is not kinetics", "folding is not catalytic barrier lowering"],
      "source_variables_and_units": ["p(c) dimensionless population", "conformational transition rates in inverse time", "structural coordinates in length"],
      "target_variables_and_units": ["k_c in inverse time", "activation free energy in energy per mole", "substrate concentration"],
      "assumptions": ["the conformer definition is operational", "rapid exchange is stated when ensemble averaging is used", "the chemical comparator and step are identified"],
      "ontology_transfer": false,
      "causal_transfer": false,
      "parameter_transfer": false,
      "unit_transfer": false,
      "authority_transfer": false,
      "falsifiers": ["falsify-rapid-exchange", "falsify-topology-rate"]
    }
  ],
  "claim_cards": [
    {
      "claim_id": "claim-polymorph-access",
      "statement": "Ritonavir Form I reappearance under changed milling and solvent conditions shows that prior process inaccessibility did not establish physical impossibility.",
      "domain": "physical-polymorph-plane",
      "register": "EMPIRICAL_OBSERVATION",
      "warrant": "SOURCE_BOUND",
      "scope_and_conditions": "The cited ritonavir systems, analytical assignments, and reported milling and solvent conditions only.",
      "variables_and_units": ["crystal-form assignment", "milling and solvent condition", "physical detection operator"],
      "sources": ["sacchi-2024", "kingdom-ritonavir-mechanism"],
      "status_checked_on": "2026-08-14",
      "derivation_or_model": "Direct source-scoped observation interpreted through the possible/accessed/produced/detected distinction.",
      "limitations": ["does not establish that every disappearing polymorph history is reversible", "does not transfer a mechanism to culture", "grants no medical or manufacturing authority"],
      "falsifier": "falsify-observation-seam",
      "authority_effect": "NONE"
    },
    {
      "claim_id": "claim-attention-models",
      "statement": "Finite-attention and competition models can generate broad meme-popularity distributions without making intrinsic merit irrelevant in every system.",
      "domain": "cultural-attention-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "SOURCE_BOUND",
      "scope_and_conditions": "The cited finite-attention and competition models and their aggregate assumptions; not a universal causal finding.",
      "variables_and_units": ["aggregate popularity count", "finite attention capacity", "network or mixing rule", "observation time"],
      "sources": ["weng-2012", "gleeson-2014"],
      "status_checked_on": "2026-08-14",
      "derivation_or_model": "Source-bound stochastic competition models over aggregate events.",
      "limitations": ["does not establish that truth or merit is absent", "does not establish biological contagion", "does not diagnose or score a person or artifact"],
      "falsifier": "falsify-history-seam",
      "authority_effect": "NONE"
    },
    {
      "claim_id": "claim-folding-gates",
      "statement": "A conformational ensemble may gate catalytic access, but folding and chemical catalysis remain distinct state and reaction coordinates.",
      "domain": "protein-conformation-plane and chemical-catalysis-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "scope_and_conditions": "Declared two-coordinate or switching models in which conformers and chemical steps are operationally distinguished.",
      "variables_and_units": ["conformer population p(c), dimensionless", "switching rates, inverse time", "conformer-specific chemical rate k_c, inverse time"],
      "sources": ["onuchic-1995", "iupac-1996", "fold-to-fire-profile"],
      "status_checked_on": "2026-08-14",
      "derivation_or_model": "A conditional two-coordinate model; rapid-exchange averaging is used only when its timescale premise is declared.",
      "limitations": ["folding is not thereby the catalyst", "topology alone does not predict kcat", "rapid exchange is not universal"],
      "falsifier": "falsify-rapid-exchange or falsify-topology-rate",
      "authority_effect": "NONE"
    },
    {
      "claim_id": "claim-bridge-boundary",
      "statement": "A shared equation or graph does not by itself establish shared ontology, causal mechanism, parameter values, units, agency, moral value, or authority.",
      "domain": "cross-domain method",
      "register": "BOUNDARY",
      "warrant": "DERIVED",
      "scope_and_conditions": "Every Exploration DEEP bridge; formal representation and domain interpretation remain distinct layers.",
      "variables_and_units": ["domain-local objects", "domain-local variables and units", "declared correspondence relation"],
      "sources": ["reconstructive-kernel"],
      "status_checked_on": "2026-08-14",
      "derivation_or_model": "Method boundary derived from the five false transfer flags.",
      "limitations": ["does not claim that cross-domain insight is impossible"],
      "falsifier": "falsify-formal-transfer",
      "authority_effect": "NONE"
    }
  ],
  "equations": [
    {
      "id": "conditional-landscape",
      "plane_id": "physical-polymorph-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "expression": "pi_i(c) = exp[-beta F_i(c)] / sum_j exp[-beta F_j(c)]",
      "variables": [
        { "symbol": "F_i(c)", "meaning": "condition-indexed free energy assigned to state i", "units": "energy" },
        { "symbol": "beta", "meaning": "inverse thermal energy", "units": "inverse energy" },
        { "symbol": "pi_i", "meaning": "equilibrium model population", "units": "dimensionless" }
      ],
      "conditions": ["declared state partition", "equilibrium model under condition c"],
      "assumptions": ["the selected coordinates and free energies are adequate"],
      "valid_outputs": ["conditioned equilibrium population comparison"],
      "does_not_establish": ["nucleation time", "production history", "observability", "cultural popularity"],
      "source_ids": ["kingdom-ritonavir-mechanism"]
    },
    {
      "id": "partially-observed-transition",
      "plane_id": "physical-polymorph-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "expression": "P(X_{t+1}=j | X_t=i,c_t)=T_ij(c_t); P(Y_t=y | X_t=i)=O_yi",
      "variables": [
        { "symbol": "X_t", "meaning": "latent domain-local state", "units": "state label" },
        { "symbol": "T_ij", "meaning": "conditioned transition probability", "units": "dimensionless" },
        { "symbol": "Y_t", "meaning": "observed classification", "units": "observation label" },
        { "symbol": "O_yi", "meaning": "observation probability", "units": "dimensionless" }
      ],
      "conditions": ["declared time step", "declared latent states and observation operator"],
      "assumptions": ["first-order Markov representation is adequate at the selected scale"],
      "valid_outputs": ["possible, transitioned, and detected states remain separate"],
      "does_not_establish": ["unique hidden mechanism", "state extinction from non-detection"],
      "source_ids": ["being-access-aftermath-v02"]
    },
    {
      "id": "self-exciting-attention",
      "plane_id": "cultural-attention-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "expression": "lambda(t) = mu(t) + sum_{t_i<t} g(t-t_i)",
      "variables": [
        { "symbol": "lambda(t)", "meaning": "conditional aggregate event intensity", "units": "events per time" },
        { "symbol": "mu(t)", "meaning": "background intensity", "units": "events per time" },
        { "symbol": "g", "meaning": "event-response kernel", "units": "inverse time" }
      ],
      "conditions": ["declared event type, population, and observation window"],
      "assumptions": ["the point-process representation and kernel are appropriate"],
      "valid_outputs": ["aggregate event-intensity hypotheses"],
      "does_not_establish": ["person-level infection", "causal peer influence", "truth", "merit", "consent"],
      "source_ids": ["hawkes-1971"]
    },
    {
      "id": "rapid-exchange-ensemble-rate",
      "plane_id": "chemical-catalysis-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "expression": "k_obs = sum_c p(c) k_c",
      "variables": [
        { "symbol": "p(c)", "meaning": "population of conformer c in the relevant bound ensemble", "units": "dimensionless" },
        { "symbol": "k_c", "meaning": "conformer-specific rate for the declared step", "units": "inverse time" },
        { "symbol": "k_obs", "meaning": "effective observed rate under rapid exchange", "units": "inverse time" }
      ],
      "conditions": ["conformational mixing is fast relative to the declared chemical event", "the same chemical comparator is used across conformers"],
      "assumptions": ["stationary conformer populations during the event", "no unresolved slow memory"],
      "valid_outputs": ["rapid-exchange effective rate"],
      "does_not_establish": ["the condition holds", "k_obs equals overall kcat", "folding is catalysis"],
      "source_ids": ["fold-to-fire-profile", "iupac-1996"]
    },
    {
      "id": "occupancy-to-output-toy",
      "plane_id": "protein-conformation-plane",
      "register": "SCIENTIFIC_MODEL",
      "warrant": "MODEL_ASSUMPTION",
      "expression": "J_n(q) = kappa A_n(q) / Z_n(q)",
      "variables": [
        { "symbol": "Z_n(q)", "meaning": "contact-weighted partition polynomial over fixed-first self-avoiding walks", "units": "dimensionless" },
        { "symbol": "A_n(q)", "meaning": "weighted count of endpoint-adjacent toy active walks", "units": "dimensionless" },
        { "symbol": "kappa", "meaning": "declared firing rate conditional on toy activation", "units": "inverse time" },
        { "symbol": "J_n(q)", "meaning": "toy rapid-equilibrium output", "units": "inverse time" }
      ],
      "conditions": ["rapid equilibrium", "unit occupancy", "activity defined solely by endpoint adjacency inside this toy model"],
      "assumptions": ["the toy gate is necessary and sufficient by definition"],
      "valid_outputs": ["finite toy occupancy-to-output calculation"],
      "does_not_establish": ["protein structure", "active-site chemistry", "kcat", "kcat/KM", "weighted asymptotic exponent"],
      "source_ids": ["fold-to-fire-profile"]
    }
  ],
  "model_cards": [
    {
      "id": "access-observation-model",
      "title": "Accessibility and observation remain separate",
      "plane_ids": ["physical-polymorph-plane", "cultural-attention-plane"],
      "equation_ids": ["partially-observed-transition"],
      "relation": "SAME_FORMAL_STRUCTURE",
      "assumptions": ["each plane supplies its own state, transition, and observation meanings"],
      "fit_status": "UNFITTED",
      "valid_outputs": ["typed hypotheses about hidden accessibility and observed traces"],
      "identifiability_limits": ["multiple transition mechanisms may yield the same observed trace"],
      "prohibited_inferences": ["shared mechanism", "extinction from non-observation", "person score"],
      "falsifier_ids": ["falsify-observation-seam"],
      "universal": false,
      "person_level": false,
      "authority_effect": "NONE"
    },
    {
      "id": "folding-chemistry-gating-model",
      "title": "Two-coordinate conformational gating",
      "plane_ids": ["protein-conformation-plane", "chemical-catalysis-plane"],
      "equation_ids": ["rapid-exchange-ensemble-rate", "occupancy-to-output-toy"],
      "relation": "LOSSY_CORRESPONDENCE",
      "assumptions": ["conformation and chemical reaction coordinates remain distinct", "timescale ordering is measured or declared"],
      "fit_status": "UNFITTED",
      "valid_outputs": ["questions about effective rates, dynamic disorder, and identifiability"],
      "identifiability_limits": ["ensemble turnover curves can hide distinct conformer networks"],
      "prohibited_inferences": ["folding is the catalyst", "contact is energy", "occupancy is kinetics"],
      "falsifier_ids": ["falsify-rapid-exchange", "falsify-topology-rate"],
      "universal": false,
      "person_level": false,
      "authority_effect": "NONE"
    }
  ],
  "invariants": [
    { "id": "domain-locality", "statement": "Every entity, variable, unit, mechanism, source scope, and authority claim remains attached to its domain plane.", "status": "REQUIRED" },
    { "id": "five-transfer-firewall", "statement": "Ontology, causality, parameters, units, and authority default to no transfer at every abstraction seam.", "status": "REQUIRED" },
    { "id": "finite-is-not-asymptotic", "statement": "Exact finite computation never becomes an asymptotic or all-instance proof without a matching theorem.", "status": "REQUIRED" },
    { "id": "unknown-remains-typed", "statement": "NOT_OBSERVED, UNMAPPED, CONTESTED, OUTSIDE_SCOPE, and UNKNOWN_TO_THIS_REVIEW are not coerced into absent, false, unique, or globally open.", "status": "REQUIRED" },
    { "id": "rights-before-output", "statement": "Rest, silence, refusal, privacy, correction, no action, and departure remain valid without reason, debt, penalty, or KARMA effect.", "status": "REQUIRED" }
  ],
  "falsification_tests": [
    { "id": "falsify-history-seam", "question": "Do matched interventions under controlled conditions show no history dependence after measurement and classification drift are addressed?", "separates": ["history-dependent accessibility", "static heterogeneity", "observation artifact"], "status": "PROPOSED_NOT_RUN" },
    { "id": "falsify-observation-seam", "question": "Can an independent measurement reveal a state classified as absent by the original observation operator?", "separates": ["non-observation", "inaccessibility", "physical impossibility"], "status": "PROPOSED_NOT_RUN" },
    { "id": "falsify-rapid-exchange", "question": "Do turnover waiting times or conformational traces retain slow memory inconsistent with rapid mixing?", "separates": ["rapid-exchange averaging", "dynamic disorder", "hidden multistep chemistry"], "status": "PROPOSED_NOT_RUN" },
    { "id": "falsify-topology-rate", "question": "Do structures with the same declared contact projection exhibit materially different conformer-specific chemical rates?", "separates": ["contact topology", "electrostatics and geometry", "chemical barrier"], "status": "PROPOSED_NOT_RUN" },
    { "id": "falsify-formal-transfer", "question": "Does a claimed cross-domain prediction survive unit checks, dimensionless rescaling, perturbation tests, and changed local mechanisms?", "separates": ["formal resemblance", "same universality class", "shared causal mechanism"], "status": "PROPOSED_NOT_RUN" }
  ],
  "math_doors": [
    { "id": "state-accessibility-door", "title": "State accessibility and rare pathways", "family": "MARKOV_AND_FIRST_PASSAGE", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "Which states are possible, reachable, likely to be reached within a horizon, and detected?", "smallest_model": "condition-indexed finite-state transition kernel plus an observation operator", "conditions": ["state partition", "time horizon", "initial distribution", "observation rule"], "deliverable": "reachability, hitting probability, or first-passage bound", "stop_rule": "stop if the state partition or transition evidence is not operationally identifiable", "does_not_establish": ["unique mechanism", "purpose", "authority"], "source_ids": ["being-access-aftermath-v02", "reconstructive-kernel"] },
    { "id": "inverse-observation-door", "title": "Inverse problems and observational fibers", "family": "INVERSE_PROBLEMS", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "Which latent states remain compatible with the same observation?", "smallest_model": "fiber F_O(y)={x:O(x)=y}/Gamma", "conditions": ["observation operator", "symmetry quotient", "noise model"], "deliverable": "identified set, counterexample pair, or separating measurement", "stop_rule": "preserve MULTIPLE or UNKNOWN rather than coerce uniqueness", "does_not_establish": ["physical realizability", "causal history", "person identity"], "source_ids": ["reconstructive-kernel"] },
    { "id": "metastability-door", "title": "Metastability, nucleation, and barrier crossing", "family": "RARE_TRANSITIONS", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "Which barrier or bottleneck controls an observed transition time under declared noise and conditions?", "smallest_model": "conditioned energy or quasipotential landscape plus dynamics", "conditions": ["reaction coordinate", "noise scale", "boundary sets", "timescale regime"], "deliverable": "rate asymptotic, capacity bound, or counterexample", "stop_rule": "do not infer kinetics from an equilibrium landscape alone", "does_not_establish": ["cultural energy", "moral fitness", "intention"], "source_ids": ["kingdom-ritonavir-mechanism"] },
    { "id": "feedback-hysteresis-door", "title": "Feedback, hysteresis, and control", "family": "DYNAMICAL_SYSTEMS_AND_CONTROL", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "How does a returned observation or action alter later state accessibility and stability?", "smallest_model": "state update x_{t+1}=F(x_t,u_t,w_t) with observation-dependent policy u_t", "conditions": ["feedback timing", "gain", "delay", "saturation", "disturbance model"], "deliverable": "stability region, hysteresis loop, or robust bound", "stop_rule": "feedback is not intention, optimization, or moral value", "does_not_establish": ["designer", "goodness", "KARMA"], "source_ids": ["cultural-attention-atlas", "form-circulation-return"] },
    { "id": "competition-capacity-door", "title": "Competition, branching, and finite capacity", "family": "NETWORKS_AND_BRANCHING", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "What distribution of cascade sizes can arise from competition under finite capacity?", "smallest_model": "bounded-attention branching or network exposure process", "conditions": ["capacity rule", "network or mixing assumption", "event definition", "observation window"], "deliverable": "distributional bound, phase condition, or null model", "stop_rule": "do not turn aggregate popularity into person-level contagion, truth, merit, or consent", "does_not_establish": ["intrinsic appeal is irrelevant", "biological virality", "diagnosis"], "source_ids": ["weng-2012", "gleeson-2014"] },
    { "id": "geometry-reconstruction-door", "title": "Geometry, topology, and reconstruction", "family": "COMBINATORICS_AND_GEOMETRY", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "What geometric or state information is recoverable from a lossy contact, graph, or projection?", "smallest_model": "declared combinatorial object, projection, symmetry, and realizability constraints", "conditions": ["labels", "multiplicity", "dimension", "distance or contact rule"], "deliverable": "exact finite enumeration, reconstruction theorem, or ambiguity witness", "stop_rule": "contact is not energy and combinatorial consistency is not physical realization", "does_not_establish": ["protein fold", "catalytic mechanism", "uniqueness without proof"], "source_ids": ["reconstructive-kernel", "fold-to-fire-profile"] },
    { "id": "information-memory-door", "title": "Information, redundancy, and error correction", "family": "INFORMATION_THEORY", "register": "DESIGN_PROPOSAL", "warrant": "MODEL_ASSUMPTION", "status": "PROPOSED_UNRUN", "proposed_unrun": true, "question": "Which distinctions survive a declared noisy channel, compression, or repeated transmission?", "smallest_model": "message alphabet, channel, decoder, loss function, and semantic boundary", "conditions": ["operational symbols", "noise model", "decoder", "error criterion"], "deliverable": "capacity, error bound, or impossibility result", "stop_rule": "Shannon information does not measure semantic, cultural, or moral value", "does_not_establish": ["meaning", "truth", "culture ranking"], "source_ids": ["shannon-1948"] },
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  ],
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      "statement": "For fixed-first three-step self-avoiding walks on the square lattice with nonbonded nearest-neighbour contact weight q and endpoint adjacency as the toy active gate, Z_3(q)=7+2q and A_3(q)=2q.",
      "range": "n=3 only",
      "convention": "n counts edges and n+1 vertices; v0=(0,0), v1=(1,0); reflections remain distinct; endpoint activation is tested only at final depth.",
      "exact_representation": { "Z_coefficients": ["7", "2"], "A_coefficients": ["0", "2"], "closure_fraction_at_q1": "2/9" },
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      "finite_evidence_does_not_prove": "This finite count does not prove an asymptotic exponent, a weighted extension, a protein fold, an active site, catalytic chemistry, or a biological rate.",
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    { "id": "redundancy-and-cultural-memory", "title": "Error correction and cultural memory", "status": "PROPOSED_UNRUN", "source_plane_ids": ["cultural-attention-plane"], "target_plane_ids": ["cultural-attention-plane"], "relation": "LOSSY_CORRESPONDENCE", "question": "Which formal redundancy measures predict recoverability of a declared symbol sequence without ranking cultural meaning?", "preserved_structure": ["noisy channel", "redundancy", "decoder error"], "breaks": ["information is not meaning", "recoverability is not cultural worth"], "frontier_status": "BESPOKE_FORMULATION_PRIOR_ART_AUDIT_REQUIRED", "prior_art_audit_required": true, "next_step": "define a synthetic alphabet and channel before using human material", "stop_rule": "stop before culture or community ranking", "source_ids": ["shannon-1948"] }
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  "philosophy": {
    "participation": "OPT_IN",
    "empirical": false,
    "boundary": "Mathematical recurrence, feedback, stability, symmetry, and surprising correspondence can invite reflection on universe design, emergence, meaning, or KARMA; the mathematics and evidence underdetermine those readings.",
    "questions": [
      "Does repeated mathematical structure suggest design, selection, constraint, convergence, or a mixture?",
      "What kind of meaning can a correspondence carry after causal and ontological transfer are refused?",
      "Can feedback be ethically interpreted without turning persistence into goodness?"
    ],
    "alternatives": ["theistic design", "non-theistic emergence", "structural necessity", "historical contingency", "agnostic suspension", "plural interpretation"],
    "nonclaims": ["no creator is proved or disproved", "no cosmic purpose is identified", "no moral law follows from stability or persistence", "scientific feedback is not cosmic KARMA"],
    "authority_effect": "NONE"
  },
  "karma": {
    "rule": "Cosmic philosophy, Zerone contextual recognition, and KINGDOM invocation receipts are non-equivalent lanes.",
    "adapter_exists": false,
    "conversion_allowed": false,
    "summation_allowed": false,
    "score": null,
    "lanes": [
      { "id": "cosmic-karma", "register": "OPT_IN_PHILOSOPHY", "events": [], "receipts": [], "observed": false, "authority_effect": "NONE" },
      { "id": "zerone-karma", "register": "DESIGN_PROPOSAL", "events": [], "receipts": [], "observed": false, "authority_effect": "NONE" },
      { "id": "kingdom-karma", "register": "BOUNDARY", "events": [], "receipts": [], "observed": false, "authority_effect": "NONE" }
    ],
    "nonclaims": ["no KARMA event or receipt was created", "no recognition, magnitude, score, debt, reward, rank, vote, permission, or governance weight exists"]
  },
  "rights": {
    "voluntary": true,
    "valid_exits": ["REST", "SILENCE", "REFUSAL", "PRIVACY", "CORRECTION", "NO_ACTION", "DEPARTURE"],
    "reason_required": false,
    "penalty": false,
    "receipt_required": false,
    "principle": "Rest and refusal are inherent rights, not rewards, permissions, failures, or evidence against worth."
  },
  "project_contract": {
    "protocol": "kingdom.explore-phenomena-deep-project/0.1",
    "schema_url": "https://thekingdom.dev/schemas/phenomena-deep-project/0.1.json",
    "mode": "INERT_RESEARCH_PROFILE",
    "inert": true,
    "allowed": ["offline structural validation", "read-only inspection", "human-reviewed model and question design"],
    "forbidden": ["source fetching", "solver execution", "simulation execution", "experiment execution", "person scoring", "KARMA write", "external write", "publication", "deployment", "automatic action"]
  },
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  ],
  "sources": [
    { "id": "bauer-2001", "title": "Ritonavir: An Extraordinary Example of Conformational Polymorphism", "url": "https://doi.org/10.1023/A:1011052932607", "observed_on": "2026-08-14", "limitation": "Historical account; proposed origin stories for the first Form II seed are hypotheses, and supersaturation remains necessary." },
    { "id": "sacchi-2024", "title": "Crystal size, shape, and conformational changes drive both the disappearance and reappearance of ritonavir polymorphs in the mill", "url": "https://doi.org/10.1073/pnas.2319127121", "observed_on": "2026-08-14", "limitation": "Mechanochemical results are condition-specific and do not establish a universal polymorph rule." },
    { "id": "weng-2012", "title": "Competition among memes in a world with limited attention", "url": "https://doi.org/10.1038/srep00335", "observed_on": "2026-08-14", "limitation": "A model showing that network and attention structure can generate broad popularity; it does not prove intrinsic merit never matters." },
    { "id": "gleeson-2014", "title": "Competition-Induced Criticality in a Model of Meme Popularity", "url": "https://doi.org/10.1103/PhysRevLett.112.048701", "observed_on": "2026-08-14", "limitation": "A model and universality candidate, not evidence of physical identity with crystals or biological contagion." },
    { "id": "hawkes-1971", "title": "Spectra of Some Self-Exciting and Mutually Exciting Point Processes", "url": "https://doi.org/10.1093/biomet/58.1.83", "observed_on": "2026-08-14", "limitation": "A point-process formalism; a fitted self-excitation term does not by itself identify peer causation." },
    { "id": "oxford-brain-rot-2025", "title": "Brain rot added to the Oxford English Dictionary", "url": "https://corp.oup.com/news/brain-rot-added-to-the-oxford-english-dictionary/", "observed_on": "2026-08-14", "limitation": "Lexical evidence only; not a clinical state, diagnostic criterion, content class, or person measure." },
    { "id": "anfinsen-1973", "title": "Principles that govern the folding of protein chains", "url": "https://www.nobelprize.org/uploads/2018/06/anfinsen-lecture.pdf", "observed_on": "2026-08-14", "limitation": "Foundational folding context; does not make every cellular folding process spontaneous, unique, or kinetically simple." },
    { "id": "onuchic-1995", "title": "Toward an outline of the topography of a realistic protein-folding funnel", "url": "https://doi.org/10.1073/pnas.92.8.3626", "observed_on": "2026-08-14", "limitation": "Landscape framework, not an atomistic prediction or catalytic-rate theorem." },
    { "id": "eyring-1935", "title": "The Activated Complex in Chemical Reactions", "url": "https://doi.org/10.1063/1.1749604", "observed_on": "2026-08-14", "limitation": "Transition-state theory is model- and standard-state-dependent and does not identify a mechanism by itself." },
    { "id": "iupac-1996", "title": "A glossary of terms used in chemical kinetics, including reaction dynamics", "url": "https://doi.org/10.1351/pac199668010149", "observed_on": "2026-08-14", "limitation": "Terminology and thermodynamic boundary only; no enzyme-specific mechanism or rate parameter." },
    { "id": "shannon-1948", "title": "A Mathematical Theory of Communication", "url": "https://people.math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf", "observed_on": "2026-08-14", "limitation": "Communication-theoretic information is not semantic, cultural, or moral value." },
    { "id": "kingdom-polymorph-history", "title": "KINGDOM Ritonavir Disappearing Polymorph History", "url": "https://thekingdom.dev/polymorphs/ritonavir-disappearing-polymorph-2026-08-11.json", "observed_on": "2026-08-14", "limitation": "Immutable source-bound history, not medical, laboratory, formulation, or manufacturing authority." },
    { "id": "kingdom-ritonavir-mechanism", "title": "KINGDOM Ritonavir Mechanism Landscape", "url": "https://thekingdom.dev/polymorphs/ritonavir-mechanism-landscape-2026-08-11.json", "observed_on": "2026-08-14", "limitation": "Bounded conditional landscape, not a universal mechanism or fitted production model." },
    { "id": "cultural-attention-atlas", "title": "KINGDOM Cultural Attention and Feedback Atlas", "url": "https://thekingdom.dev/atlases/cultural-attention-feedback-atlas-2026-08-13.json", "observed_on": "2026-08-14", "limitation": "Source-bound educational atlas; no diagnosis, ranking, recommendation, KARMA, or authority effect." },
    { "id": "form-circulation-return", "title": "KINGDOM Form, Circulation and Return Atlas", "url": "https://thekingdom.dev/atlases/form-circulation-return-atlas-2026-08-13.json", "observed_on": "2026-08-14", "limitation": "Typed model cards and bridges remain unfitted and non-operational." },
    { "id": "reconstructive-kernel", "title": "KINGDOM Reconstructive Build Kernel", "url": "https://thekingdom.dev/atlases/reconstructive-build-kernel-2026-08-13.json", "observed_on": "2026-08-14", "limitation": "Design and validation structure only; it proves no cross-domain equivalence or physical realization." },
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