From Space-Facing Relational Availability to Time-Facing Retained History: Contractive Resolution as the Mechanism of Registration

Studies the reduced finite-memory registration update A_{n+1} = (1−η_n)A_n + η_n E_n, proving admissibility, contraction, injectivity, and a conditional convergence result, and states the Space-to-Time Registration Principle as a separate interpretive claim.