C→∞C — Cosmic to Infinity Code: Canonical Astronomical Identifier Mapping — Technical Note v1.0

Abstract

C→∞C — Cosmic to Infinity Code is a minimal relational syntax for representing an astronomical entity through its wider contextual placement and its relevant gravitational-dynamical host structure. Core expression: CC(E,t) := Ctx(E,t) / Gr(E,t) E — represented astronomical entity t — evaluation time Ctx(E,t) — contextual/hierarchical placement of the entity Gr(E,t) — relevant gravitational-dynamical host path Core operators and states: / — contextual or hierarchical membership → — gravitational-dynamical host relation BC(...) — barycentric or composite host representation FREE — absence of a bound direct host at the represented local level X — unknown or undetermined relation or status This Technical Note tests whether the human-readable node labels of C→∞C Core v1.0 can be replaced by established astronomical or persistent identifiers without altering the underlying relational architecture. Solar System examples use Wikidata QIDs for wider contextual entities and NASA/JPL NAIF integer IDs for ephemeris bodies. Earth, Moon, Europa and Triton are used as full-path substitution tests, while Kepler-16 b is included as a circumbinary boundary case where equivalent identifier substitution is not available for every structural node. The tested examples show that node identifiers can change while the C→∞C operators, ordering and represented relational topology remain unchanged. The identifier-assisted representation may therefore be suitable for machine-oriented processing, structured database storage and search, although these capabilities are not implemented or benchmarked in this work. The identifier may change; the C→∞C relation does not. This Technical Note does not modify C→∞C Core v1.0 and introduces no new operator, level, relation or physical claim.