Nondegenerate Standing Forbids Infinite Footprint Multiplicity SND

This paper establishes a necessity result showing that any nondegenerate admissible system forbids infinite footprint multiplicity. Under standing conservation and fail-closed admissibility, the proliferation of infinitely many distinguishable “footprints” (representational instantiations, outcomes, or projections) is shown to collapse standing and thus violate admissibility. The result is derived by exhaustion rather than construction and does not rely on probabilistic, dynamical, or ontic assumptions. The theorem closes a common escape route in foundational physics, mathematics, and meta-systems where infinite multiplicity is implicitly invoked to preserve expressive freedom. The paper is purely declarative and non-procedural, contributing a negative constraint that is required for global closure of the corpus.