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LIT-281: Logical and Topological Contextuality in Quantum Mechanics and Beyond

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Properties6
StatusActive — read in full 2026-09-27 (NOTE-254); worth reading as the consolidated source for Carù's cohomology programme (Chs III–IV), for the valuation-algebra reformulation of contextuality (Ch V) and for the AvN triple theorem (Ch VI). Chs III–IV repeat, uncorrected, the errors recorded for LIT-279 and LIT-280, so read them with NOTE-252 and NOTE-253 at hand.
Version2
Tagscontextuality, quantum-foundations, mathematics, logic
ExtendsLIT-280 — Towards a complete cohomology invariant for non-locality and contextuality
Cited as “paper” byNOTE-254 — Logical and Topological Contextuality in Quantum Mechanics and Beyond
Cited as “source” byTHEORY-524 — On cyclic measurement scenarios, where the contexts' overlaps form one chordless N-cycle, the ℤ/2 Čech obstruction computed on the (N−1)-th iterated joint model is exact for logical and strong contextuality, the bound N − 1 being tight; beyond cycles no such result is established, the published extension is false on its own example, and the completeness conjecture fails on a Kochen–Specker cover that is never detected at any level

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Carù (2019), DPhil thesis, University of Oxford — DOI-10.5287/ora-kznbp4k4y

Standing in the record

Filed on 2026-09-27 at the owner’s request, to see whether it repairs the 2018 preprint’s failures beyond cyclic covers (LIT-280). ORA gives the year only; published: is ORA’s deposit date.

It was filed Deferred, unread. NOTE-254 is the close reading of 2026-09-27, and it placed the work: Active — worth reading as the consolidated source for Carù’s cohomology programme (Chs III–IV), for the valuation-algebra reformulation of contextuality (Ch V) and for the AvN triple theorem (Ch VI). Chs III–IV repeat, uncorrected, the errors recorded for LIT-279 and LIT-280, so read them with NOTE-252 and NOTE-253 at hand.

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