L2_1 Continuous Parameter Collapse

This paper establishes an impossibility result for continuous parameters within a closed admissible framework. It proves that any continuous parameterization purporting to remain admissible either collapses into a fixed, non-variant role under admissible redescription or violates standing by smuggling in illicit degrees of freedom. Apparent continuity is shown to function only as representational surplus, not as an admissible freedom. The analysis is eliminative and non-constructive: no new primitives are introduced, no procedures are specified, and no parameter-selection or tuning mechanisms are provided. The result functions as a boundary theorem, ruling out continuous parameter freedom in any closed system with conserved standing.