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This paper investigates whether Registration Theory can reconstruct indefinitely extensible, consequentially distinguishable histories from recursive registration dynamics. It derives an evolving host-response functional, demonstrates history-sensitive consequences in canonical ACRF-4, and proves that a conservative recursive daughter model generates an infinite sequence of frontiers distinguishable through a fixed host's native participation. The findings establish a constructive mathematical connection between recursive constitution, host accessibility, and faithful succession while accommodating stable registration organizations.
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EUGENE CATRAMBONE (2026) studied this question.
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