Falsifiable Signatures of Accessibility-Purification Interaction: Interaction Signatures Without New Dynamics

Arc V — Gravity & Quantum TheoryPaper 10 Title Falsifiable Signatures of Accessibility–Purification Interaction:Interaction Signatures Without New Dynamics Zenodo DOI 10.5281/zenodo.18234688 Description This paper identifies concrete, falsifiable experimental signatures arising from the interaction between finite accessibility and the purification principle, without introducing any new fundamental dynamics. Rather than modifying equations of motion or postulating additional fields, the analysis shows that the coexistence of accessibility limits and purification alone imposes observable constraints on information flow, coherence recovery, and correlation structure. Building on the consistency results of Paper V.9, the paper derives operational signatures that distinguish accessibility–purification theories from both classical metric gravity and standard quantum mechanics. These signatures appear as deviations in recoverability, correlation scaling, and compositional behavior in regimes where purification is enforced but accessibility is nonuniform or partially collapsed. Crucially, the predicted effects do not rely on speculative microscopic mechanisms. They arise purely from structural incompatibilities and boundary conditions implied by the joint axioms. As a result, the signatures function as null tests: their absence constrains the accessibility–purification framework, while their presence falsifies theories that treat purification or accessibility as emergent or approximate. The paper emphasizes experimental contexts in which such effects could be probed, including interferometric coherence recovery, composite-system purification tests, and controlled-accessibility laboratory systems. In this way, it closes the Gravity & Quantum Theory arc by translating axiomatic structure into empirical consequences. Keywords finite accessibility; purification; falsifiability; operational tests; quantum structure; coherence recovery Notes Arc V — Gravity & Quantum Theory (experimental signatures) Falsifiable predictions without introducing new dynamics Signatures arise from structural interaction, not microscopic modeling Null-test framework constraining both quantum and gravitational theories Bridges axiomatic reconstruction to experimental accessibility tests