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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Structural Convergence of Graded Hilbert Spaces and Restricted Observables Across UV Geometries

Authors: Moritz, Sören;

Structural Convergence of Graded Hilbert Spaces and Restricted Observables Across UV Geometries

Abstract

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.

Keywords

restricted observable algebra, effective openness, structural convergence, parity grading, orbifolds, involution projector, heterotic orbifolds, Hořava–Witten, operational restriction

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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