<b>Deductive Validation of Structural Interoperability Models Assessing Protocol Scalability in Dense Environmental Sensor Deployments</b>

This article argues that such inference is unsound, and replaces it with deductive validation. We state five postulates drawn from an existing conceptual framework for structural interoperability in environmental IoT typed observations, contract-bound transformations, a common temporal substrate, finite node resources, and progressive coherence decay and derive from them five results concerning dense deployments.

The derivations yield three counter-intuitive conclusions. First, hierarchical synchronization can hold per-node message cost constant while coherence degrades through accumulated path length, so that a protocol reported as scalable in accuracy may still be scaling in unmeasured error. Second, the capacity available per node for coherence maintenance necessarily shrinks with density, because per-node throughput under interference declines as</i><i>while the synchronization budget is drawn from the same finite capacity.