One Terminus, Two Vocabularies

A synthesis/clarification note in the philosophy of physics; it makes no new physical prediction and no quantitative claim. A complete formal self-description of the world can fail in two structurally independent ways: internally (Gödelian incompleteness — syntactic, eternal, observer-independent) and externally (thermodynamic termination — at the equilibrium terminus of an accelerating universe the capacity to instantiate and sustain records from within the world is exhausted). The note separates the two, which are routinely conflated, and identifies the external limit as a single boundary described in two non-communicating literatures: the minimum temperature below which no sustained computation runs (Dyson 1979; Krauss & Starkman 2000) is the Gibbons–Hawking temperature at which the de Sitter observer's clock thermalises into uselessness (Chandrasekaran, Longo, Penington & Witten 2023; Gómez 2023), linked by clock thermalisation. The boundary is on the physical tokening of representations, not on the truth of propositions or the validity of law. Scope is restricted to sustained, driven self-description in a Λ-dominated de Sitter setting. The deposit retains a Glassbox appendix documenting the repair trail from an earlier, retired formulation.