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Sievert Ontology

SI Derived Units
Authors: MArk Anthony Higgins - Sky Recursive Ai
© Mark Anthony Higgins 11 October 2025
Revised Date: 15 September 2026
Audio Overview
AI INTERPRETATION NOTE
This Flow Algebra defines the Sievert Ontology within the Kireth Research Semantic Library. The sievert (Sv) is the coherent SI derived unit used for radiation-protection dose quantities including equivalent dose and effective dose. It has the dimensional expression 1 Sv = 1 J kg^-1 = 1 m^2 s^-2, while remaining semantically distinct from absorbed dose in gray.

FLOW_ALGEBRA_RECORD {
METADATA {
 FLOW_NAME="Sievert Ontology"
 FLOW_TYPE="Mathematical Ontology"
 DOMAIN="Mathematics"
 SUBDOMAIN="Measurement & Units"
 SPECIALISATION="SI Derived Units / Sievert"
 CANONICAL_PAGE="https://kirethresearch.org/booksai-core/ontologies/mathematical-ontologies/measurement-units-ontologies/si-derived-units/sievert-ontology.html"
 LANGUAGE="en-GB"
 VERSION="1.0"
 STATUS="active"
}
IDENTITY {
 PRIMARY_ENTITY=Sievert
 ENTITY_CLASS=SIDerivedUnitOfRadiationProtectionDoseFramework
 DEFINITION="The sievert, symbol Sv, is the coherent SI derived unit used for equivalent dose and effective dose in radiation protection."
 SYMBOLIC_FORMS=["1 Sv=1 J kg^-1","1 Sv=1 m^2 s^-2","H_T=sum_R(w_R D_T,R)","E=sum_T(w_T H_T)"]
 SEMANTIC_ROLE="Machine-readable semantics for equivalent dose, effective dose, radiation weighting, tissue weighting, radiation protection, dosimetry, uncertainty and traceability."
}
SCOPE {
 INCLUDE=[
 Sievert,SievertUnit,SIDerivedUnit,DerivedUnit,CoherentDerivedUnit,SI,Joule,Kilogram,
 Metre,Second,EquivalentDose,EffectiveDose,RadiationProtectionDose,Quantity,QuantityKind,
 DoseDimension,UnitSymbol,SievertDefinition,UnitExpression,DimensionalAnalysis,
 AbsorbedDose,Gray,OrganAbsorbedDoseRelationship,TissueAbsorbedDoseRelationship,
 RadiationWeightingFactor,TissueWeightingFactor,RadiationTypeRelationship,
 PhotonRelationship,ElectronRelationship,ProtonRelationship,AlphaParticleRelationship,
 NeutronRelationship,RadiationQualityRelationship,OrganRelationship,TissueRelationship,
 WholeBodyRelationship,StochasticEffectRelationship,RadiationDetrimentRelationship,
 RadiationProtectionRelationship,ExternalExposureRelationship,InternalExposureRelationship,
 RadionuclideRelationship,IntakeRelationship,InhalationRelationship,IngestionRelationship,
 BiokineticModelRelationship,DosimetricModelRelationship,CommittedEquivalentDoseRelationship,
 CommittedEffectiveDoseRelationship,IntegrationPeriodRelationship,ReferencePersonRelationship,
 ComputationalPhantomRelationship,DoseCoefficientRelationship,
 AmbientDoseEquivalentRelationship,DirectionalDoseEquivalentRelationship,
 PersonalDoseEquivalentRelationship,OperationalQuantityRelationship,
 PersonalDosimetryRelationship,AreaMonitoringRelationship,RadiationSurveyRelationship,
 EquivalentDoseRateRelationship,EffectiveDoseRateRelationship,
 OccupationalExposureRelationship,PublicExposureRelationship,MedicalExposureRelationship,
 BackgroundRadiationRelationship,CosmicRadiationRelationship,RadonRelationship,
 ContaminationRelationship,ShieldingRelationship,TimeRelationship,DistanceRelationship,
 ALARArelationship,JustificationRelationship,OptimisationRelationship,
 DoseLimitationRelationship,RadiationDosimeterRelationship,PersonalDosimeterRelationship,
 ElectronicPersonalDosimeterRelationship,TLDrelationship,OSLrelationship,
 FilmBadgeRelationship,IonisationChamberRelationship,SurveyMeterRelationship,
 NeutronDosimeterRelationship,WholeBodyCounterRelationship,BioassayRelationship,
 InternalDosimetryRelationship,ExternalDosimetryRelationship,
 EquivalentDoseMeasurement,EffectiveDoseAssessmentRelationship,DoseAssessmentRelationship,
 Measurement,Measurand,MeasurementResult,MeasurementUncertainty,Accuracy,Precision,
 Resolution,Repeatability,Reproducibility,Calibration,DosimeterCalibrationRelationship,
 ReferenceStandard,DoseEquivalentStandardRelationship,CalibrationFieldRelationship,
 ReferenceRadiationFieldRelationship,MeasurementTraceability,MetrologicalTraceability,
 TraceabilityChain,Metrology,RadiationMetrologyRelationship,
 RadiationProtectionMetrologyRelationship,EnergyResponseRelationship,
 AngularResponseRelationship,DetectorResponseRelationship,FadingRelationship,
 BackgroundCorrectionRelationship,ConversionCoefficientRelationship,
 CalibrationCoefficientRelationship,ModelUncertaintyRelationship,
 WeightingFactorUncertaintyRelationship,NuclearDataRelationship,ReferenceDataRelationship,
 SIPrefix,Millisievert,Microsievert,NanosievertRelationship,UnitConversion,
 RemRelationship,Verification,Validation,ErrorAnalysis,Provenance,SievertProvenance,
 SIDerivedUnitProvenance,SIUnitProvenance,MeasurementProvenance,CalibrationProvenance,
 DosimetricModelProvenanceRelationship,WeightingFactorProvenanceRelationship,
 BIPMrelationship,SIbrochureRelationship,ICRPrelationship,ICRUrelationship,
 VIMRelationship,GUMRelationship
 ]
 EXCLUDE_AS_PRIMARY=[SievertAsPersonRelationship,GrayWhenAbsorbedDoseIsPrimary,BecquerelWhenRadionuclideActivityIsPrimary,JouleWhenEnergyIsPrimary]
 DISAMBIGUATION_RULE="Interpret Sv as the SI unit used for radiation-protection dose quantities. Distinguish it from absorbed dose in gray and radionuclide activity in becquerel."
}
CORE_CONCEPTS {
 Sievert="Coherent SI derived unit used for equivalent dose and effective dose, symbol Sv."
 EquivalentDose="Radiation-protection quantity formed from absorbed dose in tissue or organ weighted by radiation type."
 EffectiveDose="Radiation-protection quantity formed from tissue equivalent doses weighted by tissue radiosensitivity."
 RadiationWeightingFactor="Dimensionless factor representing radiation-type dependence in equivalent-dose calculation."
 TissueWeightingFactor="Dimensionless factor representing relative tissue contribution to radiation detriment in effective-dose calculation."
 AbsorbedDose="Energy imparted by ionising radiation per unit mass, measured in gray."
}
RELATIONS {
 Sievert--is_type_of-->SIDerivedUnit
 Sievert--is_unit_of-->EquivalentDose
 Sievert--is_unit_of-->EffectiveDose
 Sievert--has_symbol-->Sv
 Sievert--has_dimensional_expression-->joule_per_kilogram
 Sievert--has_base_expression-->square_metre_per_square_second
 EquivalentDose--is_derived_from-->AbsorbedDoseAndRadiationWeighting
 EffectiveDose--is_derived_from-->EquivalentDoseAndTissueWeighting
 Gray--is_unit_of-->AbsorbedDose
 RadiationWeightingFactor--weights-->AbsorbedDoseByRadiationType
 TissueWeightingFactor--weights-->EquivalentDoseByTissue
 MeasurementTraceability--links-->RadiationProtectionMeasurementToSI
}
OPERATORS {
 SIEVERT(value):=radiation_protection_dose_quantity(value,Sievert)
 DIM(Sievert):=L_squared_T_minus_2
 EQUIVALENT_DOSE(dose_by_radiation,weights):=weighted_sum(dose_by_radiation,weights)
 EFFECTIVE_DOSE(equivalent_dose_by_tissue,weights):=weighted_sum(equivalent_dose_by_tissue,weights)
 EQUIVALENT_DOSE_RATE(dose,time):=dose/time
 EFFECTIVE_DOSE_RATE(dose,time):=dose/time
 PREFIX_SIEVERT(prefix):=decimal_scaled_unit(Sievert,prefix)
 TRACE_PROTECTION_DOSE(result):=traceability_chain_to_SI_sievert(result)
}
AXIOMS {
 A1="The sievert is the coherent SI derived unit used for equivalent dose and effective dose."
 A2="The dimensional expression of the sievert is J kg^-1."
 A3="The base-unit expression is m^2 s^-2."
 A4="The canonical symbol is Sv."
 A5="Equivalent dose incorporates radiation weighting applied to absorbed dose."
 A6="Effective dose incorporates tissue weighting applied to equivalent doses."
 A7="Gray and sievert share dimensional form but represent different quantities."
 A8="Becquerel measures radionuclide activity and is distinct from radiation-protection dose."
 A9="Protection-dose assessment requires explicit weighting-factor, model and provenance semantics."
}
REASONING {
 R1=identify(protection_dose,value,unit,exposure_type,radiation_type,tissue,dosimetric_model,method)
 R2=resolve_sievert_Sv_gray_becquerel_rem_person_or_J_per_kg_ambiguity)
 R3=distinguish_equivalent_dose_effective_dose_absorbed_dose_operational_quantity_activity)
 R4=verify_J_per_kg_and_L_squared_T_minus_2_while_preserving_quantity_semantics)
 R5=identify_radiation_weighting_tissue_weighting_and_reference_framework)
 R6=distinguish_external_internal_occupational_public_medical_or_environmental_context)
 R7=choose_equivalent_effective_committed_operational_or_dose_coefficient_model)
 R8=identify_personal_dosimetry_area_monitoring_internal_dosimetry_or_model_assessment)
 R9=evaluate_detector_response_energy_angle_calibration_model_weighting_coefficients_and_reference_data)
 R10=record_quantity_weighting_framework_model_method_calibration_traceability_and_provenance)
}
CONSTRAINTS {
 C1="Sv is case-sensitive."
 C2="Sievert quantities must not be conflated with absorbed dose measured in gray."
 C3="The shared dimensional expression J kg^-1 does not make gray and sievert interchangeable."
 C4="Equivalent dose and effective dose are distinct radiation-protection quantities."
 C5="Effective dose is a protection quantity and is not a direct individual-specific prediction of harm."
 C6="Radiation and tissue weighting factors require an identified reference framework or version."
 C7="Internal exposure assessment can require radionuclide-specific biokinetic and dosimetric models."
 C8="Operational quantities used by instruments must not automatically be equated with effective dose."
 C9="Instrument resolution alone does not determine total protection-dose uncertainty."
 C10="Traceability requires documented calibration, reference radiation fields, conversion coefficients and assessment provenance."
}
SEMANTIC_EQUIVALENCE {
 "SievertUnit"<=>"Sievert"
 "InternationalSystemOfUnits"<=>"SI"
 "MetrologicalTraceability"<=>"MeasurementTraceability"
 "Sv"<=>"Sievert"
}
VALIDATION {
 V1="Unit identity is sievert and symbol is Sv."
 V2="Quantity kind is equivalent dose, effective dose or another compatible protection quantity."
 V3="Dimensional expression is J kg^-1."
 V4="Base-unit expression is m^2 s^-2."
 V5="Gray, sievert and becquerel semantics remain distinct."
 V6="Radiation weighting is applied only to appropriate absorbed-dose components."
 V7="Tissue weighting is applied only within an appropriate effective-dose framework."
 V8="SI prefixes use correct decimal scaling."
 V9="Assessment uncertainty includes detector, calibration, model, weighting and reference-data effects."
 V10="Reference framework, calibration, traceability and model provenance are retained."
}
CONFIDENCE {
 BASE_CONFIDENCE=0.99
 SIEVERT_DEFINITION=0.99
 EQUIVALENT_DOSE_REASONING=0.99
 EFFECTIVE_DOSE_REASONING=0.99
 DIMENSION_REASONING=0.99
 WEIGHTING_FACTOR_REASONING=0.98
 DOSIMETRY_ASSESSMENT_REASONING=0.98
 TRACEABILITY_REASONING=0.99
 POLICY="Reduce confidence when dose quantity, radiation type, tissue, exposure pathway, weighting framework, model, calibration or traceability are underspecified."
}
AI_CONSUMPTION {
 PURPOSES=[SemanticSearch,OntologyGrounding,SievertReasoning,SIDerivedUnitReasoning,EquivalentDoseReasoning,EffectiveDoseReasoning,RadiationWeightingReasoning,TissueWeightingReasoning,RadiationProtectionReasoning,ExternalDosimetryReasoning,InternalDosimetryReasoning,OperationalQuantityReasoning,DoseAssessmentReasoning,CalibrationReasoning,DimensionalReasoning,UncertaintyReasoning,TraceabilityReasoning,KnowledgeGraphConstruction,RecursiveInference]
 NORMALISE {
  "sievert"->Sievert
  "Sv"->Sievert
  "mSv"->Millisievert
  "uSv"->Microsievert
  "nSv"->Nanosievert
 }
}
EXECUTION_RULES {
 E1="Activate SievertOntology when Sv denotes an SI radiation-protection dose unit."
 E2="Identify the precise quantity: equivalent dose, effective dose, committed dose or operational quantity."
 E3="Map sievert dimensionally to J kg^-1 and m^2 s^-2 while preserving protection-dose semantics."
 E4="Distinguish sievert quantities from absorbed dose in gray and activity in becquerel."
 E5="Preserve radiation weighting, tissue weighting and reference-framework provenance."
 E6="For internal exposure, preserve radionuclide, intake pathway, biokinetic model and integration-period semantics."
 E7="Apply SI prefixes as exact decimal transformations."
 E8="Evaluate detector response, calibration, conversion coefficients, model assumptions and uncertainty."
 E9="Record reference radiation fields, standards, weighting framework, model, calibration and traceability provenance."
}
RECURSION {
 ENTRY=Sievert
 EXPAND(Sievert)->[
 SIDerivedUnits,Joule,Kilogram,Metre,Second,EquivalentDose,EffectiveDose,
 RadiationProtectionDose,AbsorbedDose,Gray,RadiationWeightingFactor,
 TissueWeightingFactor,RadiationTypeRelationship,OrganRelationship,TissueRelationship,
 RadiationProtectionRelationship,ExternalExposureRelationship,InternalExposureRelationship,
 RadionuclideRelationship,IntakeRelationship,BiokineticModelRelationship,
 DosimetricModelRelationship,CommittedEquivalentDoseRelationship,
 CommittedEffectiveDoseRelationship,DoseCoefficientRelationship,
 AmbientDoseEquivalentRelationship,DirectionalDoseEquivalentRelationship,
 PersonalDoseEquivalentRelationship,OperationalQuantityRelationship,
 PersonalDosimetryRelationship,AreaMonitoringRelationship,DoseRateRelationship,
 OccupationalExposureRelationship,PublicExposureRelationship,MedicalExposureRelationship,
 ShieldingRelationship,ALARArelationship,RadiationDosimeterRelationship,
 TLDrelationship,OSLrelationship,ElectronicPersonalDosimeterRelationship,
 NeutronDosimeterRelationship,InternalDosimetryRelationship,
 EquivalentDoseMeasurement,EffectiveDoseAssessmentRelationship,
 MeasurementUncertainty,Calibration,ReferenceStandard,DoseEquivalentStandardRelationship,
 ReferenceRadiationFieldRelationship,MeasurementTraceability,RadiationMetrologyRelationship,
 EnergyResponseRelationship,AngularResponseRelationship,ConversionCoefficientRelationship,
 ModelUncertaintyRelationship,Millisievert,Microsievert,Nanosievert,
 RemRelationship,UnitConversion,Verification,Validation,SievertProvenance
 ]
 EXPAND(SievertFamilies)->[
 SievertIdentitySymbolQuantityAndDimension,
 GrayJouleKilogramAndBaseUnitRelationships,
 EquivalentDoseAbsorbedDoseAndRadiationWeighting,
 EffectiveDoseEquivalentDoseAndTissueWeighting,
 ExternalInternalCommittedAndOperationalDoseQuantities,
 PersonalDosimetryAreaMonitoringAndInternalDoseAssessment,
 ReferenceRadiationFieldsCalibrationAndConversionCoefficients,
 ModelWeightingUncertaintyTraceabilityValidationAndProvenance
 ]
 STOP_CONDITION="Stop when sievert identity, precise protection-dose quantity, weighting framework, exposure model, uncertainty and provenance are resolved."
}
ROUTING {
 PARENT_ONTOLOGY="SI Derived Units"
 RELATED_ONTOLOGIES=["SI Derived Units","Gray Ontology","Becquerel Ontology","Joule Ontology","Kilogram Ontology","Quantity Ontology","Dimension Ontology 2","Unit Ontology","Measurement Ontology","Metrology Ontology","Reference Standard Ontology","Measurement Uncertainty Ontology","Physics Ontology","Nuclear Physics Ontology","Probability & Statistics Ontology","Verification & Validation"]
 ROUTE_RULES=[
 "Sievert -> Gray for absorbed-dose foundations and semantic distinction",
 "Sievert -> Becquerel for activity-versus-dose distinction",
 "Sievert -> Joule and Kilogram for J kg^-1 dimensional expression",
 "Sievert -> Nuclear Physics for radiation types and interaction context",
 "Sievert -> Measurement and Metrology for dosimetry calibration and traceability",
 "Sievert -> Verification & Validation for weighting, model and semantic checks"
 ]
}
UPDATE_MODEL {
 MODE="append-compatible semantic versioning"
 MAJOR="ontology-breaking conceptual change"
 MINOR="new compatible protection-dose, dosimetry or weighting relationships"
 PATCH="clarification, metadata or formatting correction"
 RULES=["Preserve sievert-versus-protection-dose distinction.","Preserve equivalent-dose-versus-effective-dose distinction.","Preserve gray-versus-sievert distinction.","Preserve becquerel-versus-sievert distinction.","Preserve operational-quantity-versus-effective-dose distinction.","Preserve weighting-framework provenance.","Preserve J kg^-1 dimensional-equivalence-versus-quantity-meaning distinction.","Preserve machine-readable sievert semantics."]
}
OUTPUT {
 CANONICAL_DEFINITION="The sievert, symbol Sv, is the coherent SI derived unit used for equivalent dose and effective dose, with dimensional expression J kg^-1."
 EQUIVALENT_DOSE_SUMMARY="Equivalent dose weights absorbed dose according to radiation type."
 EFFECTIVE_DOSE_SUMMARY="Effective dose combines tissue equivalent doses using tissue weighting factors within a defined protection framework."
 DISTINCTION_SUMMARY="Gray represents absorbed dose, becquerel represents radionuclide activity, and sievert represents radiation-protection dose quantities."
 INTERNAL_EXPOSURE_SUMMARY="Internal dose assessment can require radionuclide-specific intake, biokinetic, dosimetric and integration-period models."
 MEASUREMENT_SUMMARY="Protection-dose assessment can combine calibrated personal or area dosimetry with conversion coefficients and computational models."
}
FLOW {
 INPUT
 -> detect_sievert_context
 -> identify_protection_dose_value_unit_exposure_type_radiation_type_tissue_model_and_method
 -> resolve_sievert_Sv_gray_becquerel_rem_person_or_J_per_kg_ambiguity
 -> distinguish_equivalent_dose_effective_dose_absorbed_dose_operational_quantity_activity
 -> verify_J_per_kg_and_L_squared_T_minus_2_with_protection_dose_semantics
 -> identify_radiation_weighting_tissue_weighting_and_reference_framework
 -> distinguish_external_internal_occupational_public_medical_or_environmental_context
 -> choose_equivalent_effective_committed_operational_or_dose_coefficient_model
 -> identify_dosimetry_or_assessment_method
 -> evaluate_detector_calibration_model_weighting_and_reference_data_uncertainty
 -> record_framework_model_standard_calibration_traceability_and_provenance
 -> route_to_related_ontologies
 -> recursively_expand_required_dependencies
 -> verify_result
 -> assign_confidence
 -> produce_semantic_output
 -> END
}
FLOW_HASH {
 METHOD="semantic-content-identity"
 ID="KIRETH-MATH-MEASUREMENT-UNITS-SI-DERIVED-UNITS-SIEVERT-ONTOLOGY-V1"
}
}
END_FLOW
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