Branch Admissibility System (BAS) and Applied Semantic Dynamics (ASD) (v1.0)

This paper defines the core structure of the Branch Admissibility System (BAS) and its governing constraint layer, Applied Semantic Dynamics (ASD). BAS represents decision spaces as branch-based structures governed by competition and capacity, while ASD provides the invariant constraints — Order, Capacity, Exit, Irreversibility, and Jurisdiction — that regulate admissibility under irreversible load. The system is non-generative and non-optimizing: it determines whether execution is structurally