Relational Scale and the Compounding of Complexity in Entanglement–Algebraic Spacetime

This paper is archived as a speculative research work.The concept of scale is conventionally associated with physical size, resolution, or a parameter measuring the detail of description. We formulate an alternative for Entanglement–Algebraic Spacetime (EAS), an abstract algebraic theory in which physical organization is constituted by qualified relationships. A subject's relational scale is represented by classes of subjects capable of direct mutual relatability; relational complexity is the qualified compounding of relationships into collective organizations that can participate as subjects in further relationships. We construct a subject-level potential-relatability graph and its maximal-clique incidence structure, together with a separate record of qualified collective-formation witnesses. Under a subject-relative finite-horizon premise, every maximal scale context is finite, each subject belongs to finitely many such contexts, and its membership multiplicity obeys an explicit Moon–Moser bound. The same premises permit an infinite connected relational universe with unbounded variation in local overlap complexity. Coverage and higher-order intersection identities quantify shared class participation. For collective subjects, a qualification-preserving isomorphism class of constitutive relational and compounding data gives a structural complexity invariant; finite support profiles, feature-counting identities, and coherent categorical gluing provide conditional projections of this structure. The results integrate relational scale and compounded complexity without prescribing a particular hierarchy or numerical complexity ordering for every admissible universe. The formal proofs and hypothesis boundaries are supplied in the accompanying author-certified EAS-SF-RSC-STACK-v0.1.1 theorem and audit supplement.