A Consequential Closure Diagnostic in Registration Theory: Future-Equivalence as a Supporting Lemma and the Boundary Between Incomplete Representation and Failed Closure
Proves a conditional Registration Theory closure diagnostic: under causal closure, the No-Unaccounted-Consequence Principle, and representation coverage, a represented merger followed by different later physical consequences diagnoses an incomplete representation, failed closure, or both.
Scope
Establishes a falsification-oriented closure/completeness diagnostic for stipulated deterministic closed registration regimes. If a purportedly complete representation merges states that later differ in an admissible physical registration consequence, then the representation is incomplete, the stipulated boundary is not causally closed, or both. The theorem is conditional on causal closure, the No-Unaccounted-Consequence Principle, and representation coverage; it does not derive those premises or a physical cross-host transfer mechanism.
Relation to other papers
- Builds on Closed-Event Consequence Completeness
- Builds on Persistent Registration Lineage Theorem
- Extended by Finite-Amplitude Permutation-Quotient Dynamics
- Extended by Cross-Registration Consequence Networks
Relevant research claims
- Exact TheoremConsequential Closure Diagnostic Theorem
- Exact TheoremFuture-Consequence Quotient Lemma
Keywords
- Registration Theory
- causal closure
- consequence completeness
- closure diagnostic
- No-Unaccounted-Consequence Principle
- retained registration
- state representation
- representation coverage
- future consequence equivalence
- causal lineage