Theoretical analysis demonstrates a preserve-or-reopen compositional schema across quantum and computational domains, highlighting safe abstraction boundaries without silent data loss.
Version 0.3 substantially extends the previously published Cross-Domain Compositional Schema v0.2 by formalising the interface and recursive-reuse architecture and subjecting it to an adversarial Bell/CHSH calibration. This paper develops a typed cross-domain compositional schema for deciding when a compressed or closed object may be reused inside a wider composition without silently losing a relation that later becomes decision-bearing. Relative to a declared future-operation family, a higher-level interface may omit lower detail only when it either preserves the relevant evaluations or carries a reliable trigger and descent address that restores sufficient lower structure before the omitted distinction is used. Version 0.3 formalises typed relational objects, three-part evaluation semantics incorporating restoration signatures, protocol-relative exact relation ablation, operation-relative load-bearingness, future-sufficient closure, recursive promotion, parent completion, obstruction sets and restorative descent. It also establishes elementary structural lemmas and retains worked tests in correlated metrology, software dependency composition and formal-proof checking. A Bell/CHSH adversarial calibration tests the preserve/refine/reopen structure against native quantum-foundational constraints. It demonstrates score-level versus correlator-level sufficiency, correlator-level insufficiency for general no-signalling questions, and targeted single-correlator ablation/restoration within the stated quantum-correlator scope. The Bell pass produces no new Bell inequality, no independent Tsirelson derivation and no new physical mechanism; these outcomes are explicitly recorded as null. Native Fine, Tsirelson, Landau and Masanes results retain ownership of the corresponding quantum boundaries. The work also rejects an unqualified privileged tetrahedral representation for unrestricted four-correlator CHSH data by dimensional counting. Restricted or target-specific geometric representations remain open only where they independently earn operational value and preserve a lawful reopening route. The resulting contribution is a bounded, falsifiable cross-domain audit and composition contract at baseline parity. Its practical advantage over strong domain-native methods remains an empirical question.
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Mark Charles McLaughlin (2026) studied this question.
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