Paper_B2 Stable Metastable and Impossible Regimes

This paper provides a formal classification of regimes into stable, metastable, and impossible classes, based solely on admissibility and constraint bonding. It shows that regime status is not a matter of empirical longevity, predictive success, or explanatory appeal, but a structural property determined by whether bonded constraints can be jointly satisfied. A stable regime admits standing-preserving realization under all admissible perturbations. A metastable regime admits temporary realization but contains inherent admissibility violations that guarantee eventual failure. An impossible regime cannot be instantiated at all, regardless of approximation, interpretation, or technological advancement. The central result is that many widely discussed theoretical frameworks fall into the metastable or impossible classes, despite apparent coherence or partial empirical fit. This classification blocks illicit rescue strategies that attempt to stabilize regimes through reinterpretation, added structure, or deferred justification. No constructions, dynamics, or operational tests are introduced. The analysis is declarative, structural, and exhaustion-based. Keywords: regime classification, stability, metastability, impossibility, admissibility, structural constraints, foundations