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Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
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Liquid Hypergraphs: A Context Graph Protocol

Authors: Itelman, Ron; Kowalski, Jacek;

Liquid Hypergraphs: A Context Graph Protocol

Abstract

This paper identifies the boundary gap — the structural condition where no entity governs and no entity possesses the information needed to verify codebook alignment between systems — and proves via the closure property that no computation within a fixed state space resolves it. We introduce null uncertainty as a third epistemic category beyond Knight's taxonomy, where the system structurally cannot perceive the absence of a variable, and prove a computable lower bound on the number of misaligned configurations guaranteed indistinguishable from alignment by any within-system observable (Proposition 3). The bound is a pigeonhole argument over Kowalski's forced quantization theorem: for realistic organizations it exceeds 2^800. We formalize the liquid hypergraph — a data structure whose edges exist only because measurements were made — and provide a protocol (four-facet gauge, five-column canonical claims, TCP-style handshake) that implements the measurement layer. Two synthetic demonstrations show the mechanism. Code, datasets, and protocol specification: https://w3c-context-graph-community-group.github.io/protocol/ Note: still a working paper draft.

Keywords

FOS: Computer and information sciences, Uncertainty, Information Systems

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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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