7 papers · 1 filter
The Logic of Partitions and Partition Logics: Ore's Correspondence, Contextual Pasting, and Direct-Sum Decompositions
Karl Svozil
The term ``partition logic'' denotes two constructions at different levels. In automaton and generalized-urn models, selected partitions generate Boolean event algebras whose conte…
Which Classicality? Incidence, Simplex, and Product-Rule Tests in Finite Quantum Logics
Karl Svozil
Finite quantum-logical constructions can appear classical or nonclassical depending on which structure is retained. We distinguish incidence tests based on valuations, colorings, a…
Operational Shadows of Hilbert-Space Probabilities
Karl Svozil
At one frozen setting, the probabilities observed in a sharp quantum context are indistinguishable, as detector-click statistics, from ordinary probabilities on the atoms of a clas…
Chromatic Completeness and the Independence of Geometric Obstruction
Karl Svozil
We establish a strict logical separation between two distinct phenomena in orthogonality hypergraphs: chromatic completeness, the possibility of assigning a single globally consist…
Faithful real embedding of a three-dimensional complex Kochen-Specker configuration
Andrei Khrennikov, Karl Svozil
We describe a phase-adjusted realification procedure that embeds any finite set of rays in C^3 into R^6. By assigning an appropriate phase to each ray before applying the standard…
(FAPP) Infinity Does Macroscopic Irreversibility From Microscopic Reversibility
Karl Svozil
Infinity is central to deriving macroscopic irreversibility from reversible microscopic laws across mathematics, theoretical computer science and physics. In analysis, infinite pro…