Observer-Independent Measurement Dynamics in a Topological Substrate: Capacity Reservoirs, a Born-Rule Consistency Condition, and No-Signaling Constraints

Paper 3 develops the observer‑independent measurement dynamics of Symbolic Field Interaction Theory (SFIT). Building on Paper 1, which introduced persistent topological distinctions as the substrate of emergent temporal organization, and Paper 2, which established the braid‑based quantum dynamics embedded in a dissipative topological boundary network, Paper 3 introduces the capacity‑reservoir formalism that governs the emergence of definite measurement outcomes. Quantum superpositions impose a topological load on the substrate; collapse occurs when this load exceeds the finite response capacity of the boundary network, triggering a stochastic topological reconfiguration (“burst”) that selects a single pointer state. The paper derives the general branch‑selection probability from competing Poisson processes, identifies the conditions under which these dynamics reduce to the Born rule, and analyzes the no‑signaling properties of the mechanism both analytically and numerically. Paper 3 completes the core SFIT measurement framework by demonstrating that objective collapse, Born‑rule consistency, and relativistic causality can coexist within a single topological description.