Wave-Function Collapse as Substrate Resolution: Not Consciousness, But Boundary
Wave-Function Collapse as Substrate Resolution: Not Consciousness, But Boundary DOI: to be assigned John “Stephen / Steve” Swygert May 31, 2026 Abstract This paper presents a mathematical boundary interpretation of wave-function collapse within the Swygert Theory of Everything AO. The central claim is direct: collapse is not caused by consciousness, psychological observation, or an undefined external selector. Collapse occurs when an unresolved quantum state encounters a boundary condition capable of enforcing stable physical relation and producing a recordable outcome. Let \mathcal{H} be the Hilbert space of a quantum system, let \rho be its density operator, and let a measurement boundary B be represented by a complete set of mutually orthogonal record projectors {P_i}, satisfying [ P_iP_j=\delta_{ij}P_i,\qquad \sum_i P_i=I. ] Relative to this boundary, unresolved cross-channel coherence is measured by [ G_B(\rho)=\sum_{i\neq j}|P_i\rho P_j|^2. ] A boundary interac...