This short program note introduces polymorphic coherence as an invariant admissibility role within the Persistent Uncertainty / Operational Admissibility framework. Coherence is treated not as a single substance, field, or mechanism, but as the role played by whatever physical structure allows finite domains to maintain stable distinctions, records, and correlations above threshold against dissipation, leakage, and persistent uncertainty. The note develops a coarse-graining ladder connecting phase/path coherence, record coherence, thermodynamic persistence, geometric/spacetime assignability, observer/network coherence, and cosmological coherence. Each transition is treated as threshold-governed rather than automatic: coherence at one level is promoted to the next only if it survives the additional admissibility constraints of the higher level. The second part interprets vacuum decay as a crystallization-like transition between metastable admissibility basins. In this reading, false-vacuum decay is not merely matter falling down a potential-energy landscape, but a reorganization of the local vacuum/coherence/admissibility regime itself. The note is explicitly compatible with the Coleman-De Luccia formalism and does not replace it; instead, it proposes an operational reinterpretation in terms of finite records, coherence thresholds, leakage, hysteresis, and persistent uncertainty. Within this framework, the “true vacuum” is treated as true only relative to an effective field-theoretic landscape, not as an absolute final state. Persistent uncertainty forbids complete closure, so even lower-energy phases remain metastable within the broader admissibility structure.
Itay Priiz (Sun,) studied this question.