From Opposed Expansion to Persistent Registration: Boundary Formation, Recursive Daughter Dynamics, Monotone Incorporation, and a Pre-registered Formation Test in Registration Theory

This Version 0.1 timestamp paper consolidates a Registration Theory mechanism for the emergence of persistent particle-like organization from opposed expanding registrations. The proposed sequence is: opposed expansion, relational boundary and reference formation, scalarized consequence, daughter registration, recursive parent-daughter and daughter-daughter registration, retained-history accumulation, persistent closure, and particle-like identity. The paper derives from the existing reduced RT registration law an exact nonnegative incorporation increment and a cumulative monotone path functional measuring incorporated relational distinction. A formation threshold is not inserted as a fitted numerical constant. Instead, the critical event is defined dynamically as the first successor state entering a persistent closed registration class already realized in canonical ACRF-4. The paper also preregisters a dimensionless angular threshold-ratio test, specifies the allowed calibration freedom and failure criteria, identifies the unresolved bridge from the opposition scalar to the host-resolved event and incorporation rate, and states the connection to the two-photon invariant only conditionally. Physical mass is not identified with the monotone functional itself. It is proposed as a downstream host-level scalar observable of persistent constrained registration. Absolute scale, specific particle identification, and electron mass calibration remain open downstream derivation problems.