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Effect algebras and statistical physical theories. (English) Zbl 0874.06009
Summary: The dichotomic physical quantities of a physical system can be naturally hosted in a mathematical structure, called effect algebra, of which orthomodular posets an Boolean algebras are particular examples. We examine how effect algebras arise inside statistical physical theories and, conversely, we study to what extent an effect algebra can be taken as a primitive structure on which a satisfactory statistical physical model equipped with a convex set of states can be constructed.

MSC:
06C15 Complemented lattices, orthocomplemented lattices and posets
82B03 Foundations of equilibrium statistical mechanics
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