B10 Consensus Based Legitimacy Is Impossible

This paper establishes an impossibility result for consensus-based legitimacy within a closed admissible framework. It proves that legitimacy cannot be grounded in agreement, convergence, majority endorsement, or intersubjective alignment without violating admissibility or standing conservation. Any appeal to consensus is shown to function as an external authority proxy, introducing deferred justification, hidden scope transport, or time-indexed validation that collapses admissibility. The analysis is strictly eliminative and non-constructive: it introduces no new primitives, specifies no procedures, and provides no operational criteria for legitimacy determination. The result functions as a boundary theorem, ruling out consensus as an admissible source of legitimacy in closed systems.