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18. Identity continuity, quantities, coordinates, geometry, and scale

A universal system must survive serial-number changes, donor parts, replacement frames, stage separation, transforming geometry and contradictory measurements. Identity continuity is a governed decision; physical state is expressed with units, reference…

Concept & directionLNK

A universal system must survive serial-number changes, donor parts, replacement frames, stage separation, transforming geometry and contradictory measurements. Identity continuity is a governed decision; physical state is expressed with units, reference frames, uncertainty and time. Neither is safely represented by a mutable row of convenient values.

#18.1 Identity continuity decision record

FieldRequired content
Subjectspredecessor, candidate successor(s), donor assets, removed assemblies and legal records
Triggerrepair, rebuild, replacement shell/frame/hull/airframe, split, merge, stage separation, repurpose, recovery or replica discovery
Competing continuity baseslegal identity; manufacturer identity; load-bearing structure; functional continuity; community provenance; custody; digital/persona continuity
Policyjurisdiction/domain/organization policy and version; mandatory versus advisory
Evidencemarks, documents, photographs, scans, material/forensic tests, work records, ownership chain and witness statements
Decisionsame identity; successor identity; new identity; split identities; merged assembly only; indeterminate; disputed
Consequencesidentifier mappings, meter/life inheritance, warranties, approvals, title, market history, persona, followers and disclosure
Reviewdecision maker, authority, date, confidence, dissent, appeal, supersession and public/private explanation

#18.2 Difficult continuity cases

CaseDefault modeling stanceMust remain explicit
VIN/chassis plate replacedInternal asset ID does not change automaticallyLegal re-identification, plate custody, authority decision and fraud checks
Frame/hull/airframe replacementCreate before/after configurations and request continuity decisionStructural provenance, regulatory rule, donor identity and market disclosure
Restoration from many donorsTrack every donor component and create or confirm root identityWhat survived, what was reproduced, lineage uncertainty and authenticity claims
Rocket stage separationEach stage may already be an asset; stack identity ends or changesMembership, control, custody, consumed/recovered disposition and mission lineage
Vehicle split into two buildsOne predecessor can produce several successor candidatesWhich history and rights each successor inherits; no automatic duplication
Two wrecks mergedDo not silently pick the most valuable identityLegal basis, dominant structure, donor history, disclosures and dispute state
Battery repurposedBattery instance persists; role and passport responsibility changeOriginal and new passports, state-of-health, safety, custody and use history
Model or replicaAlways a distinct physical identityRepresents relationship, scale/fidelity, licensed livery/persona and no inherited VIN/history
Persona transferredPersona rights may move without moving physical identityCanon, followers, likeness/license, old/new host disclosure and revenue rights
Digital twin forkCreate a new digital artifact lineageData cutoff, model assumptions, source asset and synchronization authority

#18.3 QuantityValue contract

FieldRule
quantity_kind_refStable semantic quantity such as torque, shaft power, displaced volume or remaining-energy estimate
value_shapescalar; vector; matrix/tensor; interval; time series; distribution; categorical result
original_value + unitExact received representation, precision and source unit; never discarded after normalization
canonical_value + unitOptional normalized value plus conversion-registry/version and rounding method
toleranceDesign/manufacturing/acceptance tolerance, distinct from measurement uncertainty
uncertaintyStandard/expanded uncertainty, confidence interval, covariance or declared unknown
reference_conditionsTemperature, pressure, density, humidity, fuel, state of charge, correction standard and load
frame + datumCoordinate frame, origin, axes, handedness, datum, epoch and transform chain
method + instrumentProcedure/revision, sensor/instrument instance, range, resolution and calibration
timePhenomenon/result time, duration, sample clock, time zone and synchronization quality
configurationExact as-measured/as-tested configuration, software, calibration, payload and control mode
qualityvalidity flags, saturation, dropout, interpolation, filtering, outlier treatment and reviewer
derivationFormula/model, inputs, implementation version and uncertainty propagation

#18.4 Coordinate-frame and transform graph

Frame familyRequired definition
Asset bodyRoot rigid-body frame; origin and orientation convention locked by design/configuration
Component localFrame attached to a component occurrence or articulated link
Sensor / cameraOptical/acoustic/radar/instrument frame plus calibration and covariance
Tool / work targetEnd-effector, tool-center-point, workpiece or interaction frame
Payload / occupantMount, restraint, cargo, center-of-mass or seating reference frame
Route / track / guidewayChainage, lane, rail, cable, pipe, tunnel or mission-path coordinate
Local mapSite/world frame with map version, origin and drift/alignment history
GeodeticLatitude/longitude/height with datum, ellipsoid, geoid and epoch
MarineChart datum, waterline, depth-positive convention, tide/current reference
Aerospace inertial / Earth-fixedInertial and rotating frames, time standard and transform source
Orbital / celestialCentral body, reference plane, epoch, element/state representation and propagator
  • Transforms are first-class, time-varying records with source, calibration, interpolation, covariance and validity interval.
  • A point without a frame is incomplete; altitude without a vertical datum is ambiguous; heading without north/reference convention is ambiguous.
  • Articulated and deformable machines require joint states, constraints and a configuration-specific kinematic model rather than one static body frame.
  • Privacy projections can transform or fuzz coordinates, but the transformation and disclosure policy must remain auditable.

#18.5 Geometry, envelope, mass properties, and scale

RepresentationPurposeKey semantics
Nominal dimensionsSearch, compatibility and regulationConfiguration/mode, reference points, tolerance, loaded/unloaded state
Bounding volumeStorage, route, transport and collision checksAxis-aligned/oriented box, cylinder, hull or custom volume in a named frame
Detailed geometryDesign, scan, simulation and fabricationFormat/version, unit, frame, topology, level of detail, digest and rights
Swept volumeTurning, articulation, rotor/wing/tool motion and clearanceJoint/mode trajectory, safety margin and environment
Reach/work envelopeManipulator, crane, tool, sensor and payload capabilityConfiguration, load, precision, exclusions and collision zones
Contact/support geometryTire patch, track, foot, hull, foil, wing, mooring or rail contactSurface/medium, compliance, load distribution and state
Mass propertiesDynamics, balance, support and safetyMass, CG/CB, inertia tensor, load case, consumables and uncertainty
Scale relationshipModel, replica and similarityReference design/asset, geometric/mass/time/force ratios and fidelity dimensions
Table
Scale is not one number
A 1:8 body can use non-scale tires, battery, motor, mass distribution, control latency or aerodynamic Reynolds regime. Record geometric, mass, kinematic, dynamic, control, appearance and mission fidelity independently, with the referenced design or asset.