Uffink and others have argued that the Tsirelson bound is not merely contingent but reflects deep structural features of Hilbert-space quantum mechanics tied to local commutativity.

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Hilbert-space quantum mechanics(as the formal system being discussed): The mathematical framework physicists use to describe quantum systems, where particles are represented as abstract points in a high-dimensional space.
Local commutativity(as a deep feature of quantum mechanics connected to the Tsirelson bound): A principle stating that measurements made in distant locations shouldn't interfere with each other—what happens here doesn't instantly affect what you measure over there.
Structural features(as used in logic and philosophy): The basic pattern or framework that makes something work the way it does—like how a building's structure determines its shape.
Tsirelson bound(Distinguishes quantum correlations from super-quantum correlations): An upper limit on the degree to which Bell-type inequalities can be violated by quantum correlations, which falls short of the maximum violation conceivable in principle.
Uffink(as a researcher cited for arguments about quantum mechanics): A physicist and philosopher of science who studies the foundations of quantum mechanics and thermodynamics, examining what quantum theory really tells us about reality.
contingent(De Interpretatione 12–13): Equated with 'possible'; on the two-sided interpretation, contingency excludes necessity (possibility implies non-necessity).

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