Volt Ontology

AI INTERPRETATION NOTE
This Flow Algebra defines the Volt Ontology within the Kireth Research Semantic Library. The volt, symbol V, is the coherent SI derived unit of electric potential difference, electric potential and electromotive force. It equals one joule per coulomb and one watt per ampere, reducing to kg m^2 s^-3 A^-1.

FLOW_ALGEBRA_RECORD {

METADATA {
 FLOW_NAME="Volt Ontology"
 FLOW_TYPE="Mathematical Ontology"
 DOMAIN="Mathematics"
 SUBDOMAIN="Measurement & Units"
 SPECIALISATION="SI Derived Units / Volt"
 CANONICAL_PAGE="https://kirethresearch.org/booksai-core/ontologies/mathematical-ontologies/measurement-units-ontologies/si-derived-units/volt-ontology.html"
 LANGUAGE="en-GB"
 VERSION="1.0"
 STATUS="active"
}

IDENTITY {
 PRIMARY_ENTITY=Volt
 ENTITY_CLASS=SIDerivedUnitOfElectricPotentialFramework
 PRIMARY_CONTEXT=SIDerivedUnits
 DEFINITION="The volt, symbol V, is the coherent SI derived unit of electric potential difference, electric potential and electromotive force. One volt equals one joule per coulomb and one watt per ampere."
 SYMBOLIC_FORMS=["1 V=1 J C^-1","1 V=1 W A^-1","1 V=1 kg m^2 s^-3 A^-1","V=W_e/Q","V=I R"]
 SEMANTIC_ROLE="Machine-readable semantics for the volt, potential difference, potential, electromotive force, energy-per-charge relationships, measurement, uncertainty and traceability."
}

SCOPE {
 INCLUDE=[
 Volt,VoltUnit,SIDerivedUnit,DerivedUnit,CoherentDerivedUnit,SI,SIBaseUnits,
 Joule,Coulomb,Watt,Ampere,Kilogram,Metre,Second,ElectricPotentialDifference,
 Voltage,ElectricPotential,ElectromotiveForce,DerivedQuantity,Quantity,QuantityKind,
 ElectricPotentialDimension,DimensionalSignature,UnitSymbol,VoltDefinition,UnitExpression,
 UnitAlgebra,DimensionalAnalysis,ElectricCharge,ElectricalEnergy,EnergyPerChargeRelationship,
 ElectricField,ElectricFieldStrengthRelationship,PotentialGradientRelationship,
 ElectrostaticsRelationship,ElectricCircuitRelationship,ElectricCurrent,Resistance,Ohm,
 OhmsLawRelationship,KirchhoffVoltageLawRelationship,VoltageDividerRelationship,
 VoltageDropRelationship,TerminalVoltageRelationship,BatteryVoltageRelationship,
 ElectrodePotentialRelationship,Capacitance,Farad,Inductance,Henry,
 FaradaysLawRelationship,TransformerRelationship,ElectricalPower,RMSVoltageRelationship,
 PeakVoltageRelationship,PeakToPeakVoltageRelationship,WaveformRelationship,Frequency,Hertz,
 PhaseRelationship,TransientVoltageRelationship,NoiseVoltageRelationship,
 DifferentialVoltageRelationship,VoltageMeasurement,Voltmeter,DigitalMultimeterRelationship,
 OscilloscopeRelationship,VoltageProbeRelationship,JosephsonEffectRelationship,
 JosephsonVoltageStandardRelationship,QuantumVoltageStandardRelationship,
 MeasurementSystem,Measurement,Measurand,MeasurementResult,MeasurementUncertainty,
 Accuracy,Precision,Resolution,Repeatability,Reproducibility,InputImpedanceRelationship,
 LoadingEffectRelationship,BandwidthRelationship,FrequencyResponseRelationship,
 OffsetRelationship,Drift,Stability,Calibration,VoltageCalibrationRelationship,
 ReferenceStandard,VoltageStandardRelationship,MeasurementTraceability,
 MetrologicalTraceability,TraceabilityChain,Metrology,ElectricalMetrologyRelationship,
 ScientificMeasurement,TemperatureInfluence,ElectromagneticInterferenceRelationship,
 ShieldingRelationship,GroundingRelationship,ThermoelectricEMFrelationship,
 SIPrefix,Microvolt,Millivolt,Kilovolt,MegavoltRelationship,UnitConversion,
 ConversionFactor,ExactConversion,UnitCompatibility,DimensionalCompatibility,
 QuantityCompatibility,Verification,Validation,ErrorAnalysis,Provenance,
 VoltProvenance,SIDerivedUnitProvenance,SIUnitProvenance,MeasurementProvenance,
 CalibrationProvenance,BIPMrelationship,SIbrochureRelationship,VIMRelationship,GUMRelationship
 ]
 EXCLUDE_AS_PRIMARY=[VoltAsSurnameRelationship,ElectricFieldStrengthWhenVoltPerMetreIsPrimary,PowerWhenWattSemanticsArePrimary,ElectricChargeWhenCoulombSemanticsArePrimary]
 DISAMBIGUATION_RULE="When volt or symbol V denotes the coherent SI derived unit of electric potential difference, electric potential or electromotive force, interpret it as the volt measurement unit. Distinguish V used as a unit symbol from variables such as volume."
}

CORE_CONCEPTS {
 Volt="Coherent SI derived unit of electric potential difference, electric potential and electromotive force, symbol V."
 ElectricPotentialDifference="Difference in electric potential between two points, equivalent to energy transferred per unit charge."
 ElectricPotential="Electric potential energy per unit charge relative to a reference."
 ElectromotiveForce="Energy supplied per unit charge by a source."
 ElectricPotentialDimension="Derived dimension M L^2 T^-3 I^-1."
 VoltageMeasurement="Measurement process assigning an electric-potential-difference value."
}

RELATIONS {
 Volt--is_type_of-->SIDerivedUnit
 Volt--is_coherent_derived_unit_of-->ElectricPotentialDifference
 Volt--is_coherent_derived_unit_of-->ElectricPotential
 Volt--is_coherent_derived_unit_of-->ElectromotiveForce
 Volt--has_symbol-->V
 Volt--has_expression-->joule_per_coulomb
 Volt--has_equivalent_expression-->watt_per_ampere
 Volt--has_base_expression-->kilogram_square_metre_per_second_cubed_ampere
 ElectricPotentialDifference--has_dimension-->ElectricPotentialDimension
 ElectricPotentialDifference--relates_to-->EnergyPerCharge
 OhmsLawRelationship--relates-->VoltageCurrentAndResistance
 ElectricalPower--relates_to-->VoltageTimesCurrent
 JosephsonVoltageStandardRelationship--realises-->TraceableVoltage
 MeasurementTraceability--links-->VoltageMeasurementToSI
}

OPERATORS {
 VOLT(value):=electric_potential_difference_quantity(value,Volt)
 DIM(Volt):=ElectricPotentialDimension
 POTENTIAL_DIFFERENCE(energy,charge):=energy/charge
 OHMIC_VOLTAGE(current,resistance):=current*resistance
 VOLTAGE_FROM_POWER(power,current):=power/current
 CAPACITOR_VOLTAGE(charge,capacitance):=charge/capacitance
 PREFIX_VOLT(prefix):=decimal_scaled_unit(Volt,prefix)
 CONVERT_VOLTAGE(value,source,target):=compatible_voltage_conversion(value,source,target)
 TRACE_VOLTAGE(result):=traceability_chain_to_SI_volt(result)
}

AXIOMS {
 A1="The volt is the coherent SI derived unit of electric potential difference, electric potential and electromotive force."
 A2="One volt equals one joule per coulomb."
 A3="One volt equals one watt per ampere."
 A4="One volt reduces to kg m^2 s^-3 A^-1."
 A5="The canonical symbol is uppercase V."
 A6="Electric potential difference represents energy transfer per unit charge."
 A7="Voltage, current, resistance and power are distinct quantities."
 A8="Electric potential requires an explicit or implicit reference."
 A9="Voltage measurement traceability requires documented electrical reference standards and calibration."
}

REASONING {
 R1_CONTEXT=identify(voltage_quantity,value,unit,reference_points,circuit_or_field_context,measurement_method_and_intended_use)
 R2_IDENTITY=resolve_volt_prefixed_volt_nonSI_voltage_unit_or_symbol_V_ambiguity)
 R3_QUANTITY=distinguish_potential_difference_potential_emf_electric_field_or_related_quantity)
 R4_DIMENSION=verify_dimension_M_L_squared_T_minus_3_I_minus_1)
 R5_DERIVATION=expand_volt_to_J_per_C_W_per_A_and_base_units)
 R6_EQUATION=choose_energy_charge_ohms_law_power_current_capacitance_or_field_relationship)
 R7_WAVEFORM=if_AC_or_transient_identify_RMS_peak_average_frequency_phase_and_bandwidth_semantics)
 R8_MEASUREMENT=identify_voltmeter_DMM_oscilloscope_divider_null_or_quantum_standard_method)
 R9_UNCERTAINTY=evaluate_reference_loading_input_impedance_frequency_response_offset_noise_temperature_and_repeatability)
 R10_PROVENANCE=record_unit_expression_quantity_kind_reference_points_method_standard_calibration_and_traceability)
}

CONSTRAINTS {
 C1="The symbol V is case-sensitive and quantity context is required."
 C2="Electric potential difference must identify or imply two reference points."
 C3="Electric potential values depend on the chosen reference potential."
 C4="Electromotive force and terminal potential difference are related but not identical concepts."
 C5="Ohm's-law reasoning requires an appropriate resistive or constitutive context."
 C6="AC voltage values require explicit RMS, peak, peak-to-peak or other waveform semantics."
 C7="Voltmeter input impedance can load the circuit and alter the measurand."
 C8="Instrument resolution alone does not determine total voltage uncertainty."
 C9="Traceability to the volt requires a documented electrical calibration or quantum-voltage reference chain."
 C10="Dimensional correctness alone does not establish the intended electrical-potential quantity."
}

SEMANTIC_EQUIVALENCE {
 "VoltUnit"<=>"Volt"
 "Voltage"<=>"ElectricPotentialDifference"
 "EMF"<=>"ElectromotiveForce"
 "InternationalSystemOfUnits"<=>"SI"
 "MetrologicalTraceability"<=>"MeasurementTraceability"
 "DMM"<=>"DigitalMultimeter"
}

VALIDATION {
 V1="Unit identity is volt and canonical symbol is V."
 V2="Quantity kind is potential difference, electric potential, electromotive force or another explicitly compatible quantity."
 V3="Derived dimension is M L^2 T^-3 I^-1."
 V4="Coherent expressions are J C^-1 and W A^-1."
 V5="Reference-point semantics are explicit where required."
 V6="Voltage, current, resistance, power and electric-field semantics remain distinct."
 V7="AC measurements identify RMS, peak or other waveform interpretation."
 V8="Prefixed volt units use correct decimal scaling."
 V9="Measurement uncertainty includes loading, frequency response, offset, noise, environment and calibration effects."
 V10="Voltage calibration and traceability evidence are retained."
}

CONFIDENCE {
 BASE_CONFIDENCE=0.99
 VOLT_DEFINITION=0.99
 POTENTIAL_DIFFERENCE_REASONING=0.99
 DIMENSION_REASONING=0.99
 CIRCUIT_REASONING=0.98
 AC_VOLTAGE_REASONING=0.98
 VOLTAGE_MEASUREMENT_REASONING=0.98
 TRACEABILITY_REASONING=0.99
 POLICY="Reduce confidence when quantity kind, reference points, waveform interpretation, circuit loading, measurement method, calibration status or traceability are underspecified."
}

AI_CONSUMPTION {
 PURPOSES=[SemanticSearch,OntologyGrounding,VoltReasoning,SIDerivedUnitReasoning,ElectricPotentialDifferenceReasoning,ElectricPotentialReasoning,EMFReasoning,EnergyPerChargeReasoning,CircuitReasoning,OhmsLawReasoning,ElectricalPowerReasoning,ElectricFieldReasoning,VoltageMeasurementReasoning,ElectricalMetrologyReasoning,QuantumVoltageReasoning,CalibrationReasoning,DimensionalReasoning,UncertaintyReasoning,TraceabilityReasoning,KnowledgeGraphConstruction,RetrievalAugmentation,RecursiveInference]
 NORMALISE {
  "volt"->Volt
  "V"->Volt
  "uV"->Microvolt
  "mV"->Millivolt
  "kV"->Kilovolt
  "MV"->Megavolt
  "EMF"->ElectromotiveForce
  "DMM"->DigitalMultimeter
 }
}

EXECUTION_RULES {
 E1="If volt or V denotes the SI derived unit of electric potential difference, electric potential or electromotive force, activate VoltOntology."
 E2="Confirm quantity kind and reference semantics rather than relying only on symbol V."
 E3="Map volt coherently to J C^-1, W A^-1 and kg m^2 s^-3 A^-1."
 E4="Distinguish potential difference, electric potential and electromotive force where context requires."
 E5="Apply Ohm's law and other circuit equations only under appropriate assumptions."
 E6="For AC or transient contexts, preserve RMS, peak, waveform, frequency and phase semantics."
 E7="Apply SI prefixes as exact decimal scale transformations."
 E8="For measurement contexts, evaluate input loading, frequency response, noise, environment, calibration and uncertainty."
 E9="Record voltage-reference, calibration and traceability provenance."
}

RECURSION {
 ENTRY=Volt
 EXPAND(Volt)->[
 SIDerivedUnits,DerivedUnit,SIDerivedUnit,SIBaseUnits,Joule,Coulomb,Watt,Ampere,
 Kilogram,Metre,Second,ElectricPotentialDifference,ElectricPotential,ElectromotiveForce,
 ElectricPotentialDimension,Quantity,QuantityKind,Dimension,Unit,VoltDefinition,
 UnitExpression,DimensionalAnalysis,ElectricCharge,ElectricalEnergy,ElectricField,
 Voltage,Resistance,Ohm,OhmsLawRelationship,KirchhoffVoltageLawRelationship,
 VoltageDividerRelationship,VoltageDropRelationship,TerminalVoltageRelationship,
 BatteryVoltageRelationship,Capacitance,Farad,Inductance,Henry,FaradaysLawRelationship,
 TransformerRelationship,ElectricalPower,RMSVoltageRelationship,PeakVoltageRelationship,
 WaveformRelationship,Frequency,Hertz,VoltageMeasurement,Voltmeter,
 DigitalMultimeterRelationship,OscilloscopeRelationship,VoltageProbeRelationship,
 JosephsonEffectRelationship,JosephsonVoltageStandardRelationship,MeasurementUncertainty,
 Calibration,ReferenceStandard,VoltageStandardRelationship,MeasurementTraceability,
 Metrology,InputImpedanceRelationship,LoadingEffectRelationship,
 FrequencyResponseRelationship,TemperatureInfluence,ShieldingRelationship,
 GroundingRelationship,SIPrefix,Microvolt,Millivolt,Kilovolt,MegavoltRelationship,
 UnitConversion,Verification,Validation,VoltProvenance
 ]
 EXPAND(VoltFamilies)->[
 VoltIdentitySymbolQuantityAndDimension,
 JouleCoulombWattAmpereAndBaseUnitExpansion,
 PotentialDifferencePotentialAndElectromotiveForce,
 OhmsLawCircuitsResistanceCurrentAndPower,
 ElectricFieldsPotentialGradientsAndElectrostatics,
 ACWaveformsRMSPeakFrequencyPhaseAndTransients,
 VoltageMeasurementMetersProbesQuantumStandardsAndCalibration,
 LoadingNoiseUncertaintyTraceabilityValidationAndProvenance
 ]
 STOP_CONDITION="Stop when volt identity, electrical-potential quantity, dimensional expression, reference semantics, circuit or field relationship, measurement uncertainty and provenance are sufficiently resolved."
}

ROUTING {
 PARENT_ONTOLOGY="SI Derived Units"
 RELATED_ONTOLOGIES=["SI Derived Units","Derived Units Ontology","SI Base Units","SI Units Ontology","Joule Ontology","Coulomb Ontology","Watt Ontology","Ampere Ontology","Quantity Ontology","Dimension Ontology 2","Unit Ontology","Measurement Ontology","Metrology Ontology","Reference Standard Ontology","Measurement Uncertainty Ontology","Physics Ontology","Electromagnetism Ontology","Verification & Validation"]
 ROUTE_RULES=[
 "Volt -> SI Derived Units for parent derived-unit semantics",
 "Volt -> Derived Units Ontology for general derived-unit algebra",
 "Volt -> Joule and Coulomb ontologies for J C^-1 semantics",
 "Volt -> Watt and Ampere ontologies for W A^-1 semantics",
 "Volt -> SI Base Units for base-unit expansion",
 "Volt -> Quantity Ontology for potential-difference, potential and EMF semantics",
 "Volt -> Dimension Ontology for M L^2 T^-3 I^-1 dimensional structure",
 "Volt -> Physics and Electromagnetism for field, circuit and potential semantics",
 "Volt -> Measurement and Metrology for voltage measurement, calibration and traceability",
 "Volt -> Verification & Validation for electrical, dimensional and semantic checks"
 ]
}

UPDATE_MODEL {
 MODE="append-compatible semantic versioning"
 MAJOR="ontology-breaking conceptual change"
 MINOR="new compatible voltage, measurement or reasoning relationships"
 PATCH="clarification, metadata or formatting correction"
 RULES=[
 "Preserve volt-versus-voltage-quantity distinction.",
 "Preserve potential-difference-versus-electric-potential-versus-EMF distinction.",
 "Preserve voltage-versus-current-resistance-power distinction.",
 "Preserve DC-versus-AC-waveform interpretation.",
 "Preserve unit-versus-quantity distinction.",
 "Preserve dimensional-correctness-versus-quantity-meaning distinction.",
 "Preserve measurement-reference-versus-unit-definition distinction.",
 "Preserve machine-readable volt semantics."
 ]
}

OUTPUT {
 CANONICAL_DEFINITION="The volt, symbol V, is the coherent SI derived unit of electric potential difference, electric potential and electromotive force and equals J C^-1 or W A^-1."
 QUANTITY_SUMMARY="Electric potential difference represents energy transferred per unit charge and has dimension M L^2 T^-3 I^-1."
 CIRCUIT_SUMMARY="Voltage relates to current, resistance and electrical power through context-dependent circuit equations."
 FIELD_SUMMARY="Electric potential differences relate to electric fields through spatial potential gradients."
 AC_SUMMARY="AC voltage requires explicit RMS, peak, waveform, frequency and phase semantics where relevant."
 MEASUREMENT_SUMMARY="Voltage measurement can use voltmeters, digital multimeters, oscilloscopes, dividers, null methods and quantum voltage standards."
 UNCERTAINTY_SUMMARY="Precision voltage measurement can require uncertainty contributions from loading, input impedance, frequency response, offset, noise, temperature and calibration."
}

FLOW {
 INPUT
 -> detect_volt_context
 -> identify_voltage_quantity_value_unit_reference_points_circuit_or_field_context_measurement_method_and_intended_use
 -> resolve_volt_prefixed_volt_nonSI_voltage_unit_or_symbol_V_ambiguity
 -> distinguish_potential_difference_potential_emf_electric_field_or_related_quantity
 -> verify_dimension_M_L_squared_T_minus_3_I_minus_1
 -> expand_volt_to_J_per_C_W_per_A_and_base_units
 -> choose_energy_charge_ohms_law_power_current_capacitance_or_field_relationship
 -> if_AC_or_transient_preserve_waveform_semantics
 -> identify_voltage_measurement_method
 -> evaluate_loading_frequency_response_offset_noise_temperature_and_uncertainty
 -> record_reference_points_method_standard_calibration_and_traceability
 -> 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-VOLT-ONTOLOGY-V1"
}

}

END_FLOW