Coherent Possibilities in a Unifinite Universe: Integrating Constraint Primacy and Observer Instantiation

This paper formalizes a constraint-based account of physical possibility in cosmology and foundations of physics. Building on prior results establishing constraint primacy and observer instantiation, it argues that infinite physical possibility does not imply permissiveness or anarchy. Instead, physically realizable configurations form a coherence-bounded subset of logically conceivable configurations. We introduce the notion of a unifinite universe: a universe that may admit unbounded (including infinite) configurations while remaining governed by a fixed structural constraint schema. We prove the Coherent Possibility Theorem, showing that incoherent configurations are not dynamically annihilated but are undefined and non-instantiable. The framework clarifies persistent conceptual confusions surrounding infinity, admissibility, early-universe “hot dense” narratives, and the misuse of “vanishing” or “annihilation” language in quantum cosmology. The result is a unified account linking constraints, observers, and admissible possibility without over-claiming specific cosmological end states.