Luminous Intensity Ontology

AI INTERPRETATION NOTE
This Flow Algebra defines the Luminous Intensity Ontology within the Kireth Research Semantic Library. Luminous intensity is an SI base quantity with dimension J and coherent SI base unit candela, symbol cd.

FLOW_ALGEBRA_RECORD {
METADATA {
 FLOW_NAME="Luminous Intensity Ontology"
 FLOW_TYPE="Mathematical Ontology"
 DOMAIN="Mathematics"
 SUBDOMAIN="Measurement & Units"
 SPECIALISATION="Fundamental Physical Quantities / Luminous Intensity"
 CANONICAL_PAGE="https://kirethresearch.org/booksai-core/ontologies/mathematical-ontologies/measurement-units-ontologies/fundamental-physical-quantities/luminous-intensity-ontology.html"
 LANGUAGE="en-GB"
 VERSION="1.0"
 STATUS="active"
}
IDENTITY {
 PRIMARY_ENTITY=LuminousIntensity
 ENTITY_CLASS=SIBasePhysicalQuantityFramework
 DEFINITION="Luminous intensity is a fundamental photometric quantity describing luminous flux in a specified direction per unit solid angle. Its SI base dimension is J and its coherent SI base unit is the candela, symbol cd."
 SYMBOLIC_FORMS=["dim(I_v)=J","SI_unit(I_v)=cd","I_v=dPhi_v/dOmega","E_v=I_v*cos(theta)/r^2 under point-source assumptions"]
 SEMANTIC_ROLE="Machine-readable semantics for luminous intensity, directional luminous flux, spectral weighting, photometry, measurement, uncertainty and traceability."
}
SCOPE {
 INCLUDE=[LuminousIntensity,FundamentalPhysicalQuantity,BaseQuantity,PhysicalQuantity,Quantity,QuantityKind,QuantityValue,SI,InternationalSystemOfQuantities,LuminousIntensityDimension,Dimension,Candela,SIBaseUnit,Unit,UnitSymbol,PhotometryRelationship,VisibleRadiationRelationship,HumanVisualResponseRelationship,PhotopicVisionRelationship,PhotopicLuminousEfficiencyFunction,VLambdaRelationship,LuminousEfficacyRelationship,KcdRelationship,RadiometryRelationship,RadiantIntensityRelationship,RadiantFluxRelationship,LuminousFlux,LumenRelationship,SolidAngle,SteradianRelationship,DirectionRelationship,AngularDistributionRelationship,LuminousIntensityDistributionRelationship,BeamRelationship,PointSourceRelationship,ExtendedSourceRelationship,FarFieldRelationship,InverseSquareLawRelationship,CosineLawRelationship,Illuminance,LuxRelationship,LuminanceRelationship,CandelaPerSquareMetreRelationship,LambertianEmitterRelationship,LightSourceRelationship,LampRelationship,LuminaireRelationship,LEDrelationship,LuminousIntensityMeasurement,PhotometerRelationship,GoniophotometerRelationship,SpectroradiometerRelationship,PhotodiodeRelationship,DetectorRelationship,SpectralResponsivityRelationship,SpectralMismatchRelationship,Measurement,Measurand,MeasurementResult,MeasurementUncertainty,Accuracy,Precision,Resolution,Repeatability,Reproducibility,Calibration,LuminousIntensityCalibrationRelationship,ReferenceStandard,LuminousIntensityStandardRelationship,CandelaRealisationRelationship,CryogenicRadiometerRelationship,MeasurementTraceability,MetrologicalTraceability,TraceabilityChain,Metrology,PhotometricMetrologyRelationship,RadiometricMetrologyRelationship,SourceStabilityRelationship,AlignmentRelationship,DistanceUncertaintyRelationship,StrayLightCorrectionRelationship,UnitConversion,Verification,Validation,ErrorAnalysis,Provenance,LuminousIntensityProvenance,MeasurementProvenance,CalibrationProvenance,BIPMrelationship,SIbrochureRelationship,VIMRelationship,GUMRelationship,CIErelationship]
 EXCLUDE_AS_PRIMARY=[LuminousFluxWhenTotalPhotometricFluxIsPrimary,IlluminanceWhenIncidentFluxPerAreaIsPrimary,LuminanceWhenDirectionalIntensityPerProjectedAreaIsPrimary,RadiantIntensityWhenRadiometricPowerPerSolidAngleIsPrimary]
 DISAMBIGUATION_RULE="Interpret luminous intensity as the directional photometric base quantity measured in candela. Distinguish it from luminous flux in lumens, illuminance in lux, luminance in candela per square metre and radiant intensity in watts per steradian."
}
CORE_CONCEPTS {
 LuminousIntensity="Fundamental photometric quantity describing luminous flux in a specified direction per unit solid angle."
 LuminousIntensityDimension="SI base dimension J."
 Candela="Coherent SI base unit of luminous intensity, symbol cd."
 LuminousFlux="Photometric flux weighted according to a specified luminous-efficiency function."
 SolidAngle="Geometric angular quantity measured coherently in steradians."
 RadiantIntensityRelationship="Radiometric counterpart describing radiant power per unit solid angle."
 PhotopicLuminousEfficiencyFunction="Spectral weighting function representing standard photopic visual sensitivity."
}
BASE_QUANTITY { QUANTITY=LuminousIntensity DIMENSION=J SI_BASE_UNIT=Candela UNIT_SYMBOL=cd STATUS="SI base quantity" }
RELATIONS {
 LuminousIntensity--is_type_of-->FundamentalPhysicalQuantity
 LuminousIntensity--is_base_quantity_in-->InternationalSystemOfQuantities
 LuminousIntensity--has_dimension-->LuminousIntensityDimension
 LuminousIntensity--has_SI_base_unit-->Candela
 Candela--has_symbol-->cd
 LuminousIntensity--relates_to-->LuminousFluxPerSolidAngle
 LuminousFlux--depends_on-->RadiantFluxAndVisualSpectralWeighting
 LuminousIntensity--is_photometric_counterpart_of-->RadiantIntensityRelationship
 Illuminance--depends_on-->LuminousIntensityGeometryAndDistance
 LuminanceRelationship--relates_to-->LuminousIntensityPerProjectedArea
 MeasurementTraceability--links-->LuminousIntensityMeasurementToSI
}
OPERATORS {
 LUMINOUS_INTENSITY(value,unit,direction):=luminous_intensity_quantity(value,unit,direction)
 DIM(LuminousIntensity):=J
 INTENSITY_FROM_FLUX(flux,solid_angle):=flux/solid_angle
 FLUX_FROM_INTENSITY_UNIFORM(intensity,solid_angle):=intensity*solid_angle
 POINT_SOURCE_ILLUMINANCE(intensity,distance,angle):=intensity*cos(angle)/(distance^2)
 LUMINANCE(intensity,projected_area):=intensity/projected_area
 CONVERT_INTENSITY(value,source,target):=compatible_luminous_intensity_conversion(value,source,target)
 TRACE_LUMINOUS_INTENSITY(result):=traceability_chain_to_SI_candela(result)
}
AXIOMS {
 A1="Luminous intensity is an SI base quantity."
 A2="The base dimension is J."
 A3="The coherent SI base unit is the candela, symbol cd."
 A4="Luminous intensity is distinct from luminous flux."
 A5="Luminous intensity is directional and relates luminous flux to solid angle."
 A6="Photometric quantities incorporate defined spectral weighting associated with human visual response."
 A7="Luminous intensity and radiant intensity are distinct photometric and radiometric quantities."
 A8="Illuminance and luminance are derived photometric quantities distinct from luminous intensity."
 A9="The candela is defined within the SI through the fixed numerical value of the luminous efficacy of monochromatic radiation of frequency 540 THz."
 A10="High-accuracy photometry requires calibration, uncertainty and traceability."
}
REASONING {
 R1=identify(luminous_intensity,value,unit,source,direction,angular_distribution,spectrum,geometry,method)
 R2=distinguish_luminous_intensity_luminous_flux_illuminance_luminance_radiant_intensity)
 R3=verify_base_dimension_J)
 R4=resolve_candela_candlepower_or_compatible_luminous_intensity_unit)
 R5=identify_photopic_weighting_spectral_distribution_and_radiometric_input)
 R6=identify_direction_solid_angle_distance_projected_area_point_source_extended_source_near_or_far_field)
 R7=choose_flux_per_solid_angle_spectral_weighting_inverse_square_luminance_or_angular_distribution_relationship)
 R8=identify_goniophotometer_spectroradiometer_photometer_detector_or_standard_lamp_method)
 R9=evaluate_spectral_mismatch_geometry_distance_alignment_source_stability_detector_linearity_stray_light_and_calibration)
 R10=record_quantity_unit_source_spectrum_geometry_weighting_method_standard_calibration_traceability_and_provenance)
}
CONSTRAINTS {
 C1="Luminous intensity must not be conflated with luminous flux."
 C2="Candela is a unit of luminous intensity, while lumen is a unit of luminous flux."
 C3="Illuminance in lux must remain distinct from luminous intensity in candela."
 C4="Luminance in cd m^-2 must remain distinct from luminous intensity."
 C5="Radiant intensity and luminous intensity require different radiometric and photometric semantics."
 C6="Radiometric-to-photometric conversion requires applicable spectral luminous-efficiency weighting."
 C7="Inverse-square illuminance relationships require appropriate point-source or far-field assumptions."
 C8="Angular intensity distributions require explicit direction and geometry semantics."
 C9="Instrument resolution alone does not determine total luminous-intensity uncertainty."
 C10="Traceability to the candela requires a documented photometric or radiometric realisation and calibration chain."
}
SEMANTIC_EQUIVALENCE { "LuminousIntensityQuantity"<=>"LuminousIntensity" "SIUnitOfLuminousIntensity"<=>"Candela" "InternationalSystemOfUnits"<=>"SI" }
VALIDATION {
 V1="Quantity identity is luminous intensity or an explicitly compatible quantity."
 V2="Base dimension is J."
 V3="Coherent SI base unit is candela with symbol cd."
 V4="Luminous intensity, luminous flux, illuminance and luminance remain distinct."
 V5="Photometric and radiometric quantities remain semantically distinct."
 V6="Spectral weighting is represented where radiometric-to-photometric transformation is performed."
 V7="Direction, solid angle and source geometry are explicit where required."
 V8="Inverse-square and cosine relationships are applied only under appropriate assumptions."
 V9="Measurement uncertainty includes spectral, geometric, detector, source and calibration effects."
 V10="Candela realisation, calibration and traceability provenance are retained."
}
CONFIDENCE { BASE_CONFIDENCE=0.99 LUMINOUS_INTENSITY_DEFINITION=0.99 CANDELA_UNIT_REASONING=0.99 PHOTOMETRIC_REASONING=0.99 GEOMETRY_REASONING=0.98 TRACEABILITY_REASONING=0.99 }
AI_CONSUMPTION {
 PURPOSES=[SemanticSearch,OntologyGrounding,LuminousIntensityReasoning,FundamentalQuantityReasoning,BaseQuantityReasoning,CandelaReasoning,PhotometryReasoning,RadiometryReasoning,LuminousFluxReasoning,SolidAngleReasoning,SpectralWeightingReasoning,LightingGeometryReasoning,DimensionalReasoning,UnitConversionReasoning,LuminousIntensityMeasurementReasoning,PhotometricMetrologyReasoning,CalibrationReasoning,UncertaintyReasoning,TraceabilityReasoning,KnowledgeGraphConstruction,RecursiveInference]
 NORMALISE={"luminous intensity"->LuminousIntensity,"photometric intensity"->LuminousIntensity,"candela"->Candela,"cd"->Candela}
}
EXECUTION_RULES {
 E1="Activate LuminousIntensityOntology for directional photometric intensity."
 E2="Distinguish luminous intensity from luminous flux, illuminance, luminance and radiant intensity."
 E3="Map luminous intensity to base dimension J and SI base unit candela."
 E4="Preserve direction, solid angle, source geometry and angular-distribution semantics."
 E5="Preserve photopic spectral weighting for radiometric-to-photometric transformations."
 E6="Apply inverse-square and cosine relationships only under appropriate geometric assumptions."
 E7="Evaluate spectral mismatch, detector response, geometry, alignment, source stability, stray light and calibration."
 E8="Route lumen, lux, radiometric intensity and luminance when they become primary."
}
RECURSION {
 ENTRY=LuminousIntensity
 EXPAND(LuminousIntensity)->[FundamentalPhysicalQuantities,LuminousIntensityDimension,Candela,SIBaseUnits,PhotometryRelationship,PhotopicLuminousEfficiencyFunction,VLambdaRelationship,KcdRelationship,RadiometryRelationship,RadiantIntensityRelationship,RadiantFluxRelationship,LuminousFlux,LumenRelationship,SolidAngle,SteradianRelationship,DirectionRelationship,AngularDistributionRelationship,PointSourceRelationship,ExtendedSourceRelationship,InverseSquareLawRelationship,CosineLawRelationship,Illuminance,LuxRelationship,LuminanceRelationship,LightSourceRelationship,LuminaireRelationship,LuminousIntensityMeasurement,GoniophotometerRelationship,SpectroradiometerRelationship,PhotometerRelationship,SpectralMismatchRelationship,MeasurementUncertainty,Calibration,LuminousIntensityStandardRelationship,CandelaRealisationRelationship,MeasurementTraceability,PhotometricMetrologyRelationship,Verification,Validation,LuminousIntensityProvenance]
 STOP_CONDITION="Stop when luminous-intensity identity, dimension, unit, spectral weighting, geometry, measurement uncertainty and provenance are resolved."
}
ROUTING {
 PARENT_ONTOLOGY="Fundamental Physical Quantities"
 RELATED_ONTOLOGIES=["Fundamental Physical Quantities","SI Base Units","Candela Ontology","Lumen Ontology","Lux Ontology","Steradian Ontology","Watt Ontology","Quantity Ontology","Dimension Ontology 2","Unit Ontology","Measurement Ontology","Metrology Ontology","Physics Ontology","Optics Ontology","Photometry Ontology","Verification & Validation"]
}
UPDATE_MODEL {
 MODE="append-compatible semantic versioning"
 RULES=["Preserve luminous-intensity-versus-flux distinction.","Preserve luminous-intensity-versus-illuminance distinction.","Preserve luminous-intensity-versus-luminance distinction.","Preserve photometric-versus-radiometric distinction.","Preserve direction and solid-angle semantics.","Preserve spectral-weighting provenance.","Preserve machine-readable luminous-intensity semantics."]
}
OUTPUT {
 CANONICAL_DEFINITION="Luminous intensity is a fundamental physical quantity with base dimension J and coherent SI base unit candela, symbol cd."
 PHOTOMETRY_SUMMARY="Luminous intensity describes directional luminous flux per unit solid angle under photometric visual weighting."
 DISTINCTION_SUMMARY="Candela measures luminous intensity; lumen measures luminous flux; lux measures illuminance; cd m^-2 measures luminance."
 MEASUREMENT_SUMMARY="Luminous intensity can be measured using goniophotometers, photometers, spectroradiometers and calibrated detector systems."
}
FLOW {
 INPUT
 -> detect_luminous_intensity_context
 -> identify_value_unit_source_direction_angular_distribution_spectrum_geometry_and_method
 -> distinguish_luminous_intensity_luminous_flux_illuminance_luminance_radiant_intensity
 -> verify_base_dimension_J
 -> resolve_candela_or_compatible_luminous_intensity_unit
 -> identify_photopic_weighting_spectral_distribution_and_radiometric_input
 -> identify_direction_solid_angle_distance_projected_area_and_source_geometry
 -> choose_photometric_and_geometric_model
 -> identify_luminous_intensity_measurement_method
 -> evaluate_measurement_uncertainty
 -> record_quantity_spectrum_weighting_geometry_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-FUNDAMENTAL-PHYSICAL-QUANTITIES-LUMINOUS-INTENSITY-ONTOLOGY-V1"
}
}

END_FLOW