Topological Operator Suppression: A Constructive Derivation from Entangled Causal Hypergraphs

A general operator suppression law is derived from first principles within the Quantum Entanglement Spacetime Theory (QuEST) framework. Using only combinatorial constructs permitted by the QuEST Execution Protocol (QEP), operator observability is shown to be suppressed by a combination of entanglement kernel projection and geometric traversal cost. Lemma H1.1 establishes that any history traversing depth-L layers in the labelled causal hypergraph incurs an area cost of at least S0 + L∆Smin, where all quantities are symbolically defined. The minimal increment ∆Smin arises from the minimal face weight associated with valid local moves under the QuEST update algebra. Subsystem purity is defined as the squared return amplitude for boundary identity operators. The resulting exponential suppression law provides a general structural explanation for operator invisibility in high-depth regions of the QuEST substrate, without assumptions or phenomenological inputs.