
We observe that realistic supergravity-based UV completions relevant for phenomenology converge on a common operational structure: a geometric involution induces a graded Hilbert space H= H+ ⊕H−, phenomenological access is restricted to A+ ⊂B(H+), and the operationally inaccessible complement H− constitutes a bulk-sized sector in each examined model class—not a small correction—making operational inaccessibility structurally unavoidable rather than fine-tuned. The operational consequences of this structure are exact and UV-detail-independent: accessible expectation values factor through ρ++, Π-dephasing is indistinguishable under A+, and when H+− ≠ 0 the A+-restricted evolution of ρ++(t) is effectively open. We anchor the convergence observation in Table 1 across Kaluza–Klein orbifolds, Hořava–Witten, heterotic orbifolds, brane models, and F-theory, and illustrate with an explicit benchmark extraction of an odd-channel proxy αodd. Chirality of the low-energy spectrum is treated correctly as conditional.
restricted observable algebra, effective openness, structural convergence, parity grading, orbifolds, involution projector, heterotic orbifolds, Hořava–Witten, operational restriction
restricted observable algebra, effective openness, structural convergence, parity grading, orbifolds, involution projector, heterotic orbifolds, Hořava–Witten, operational restriction
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