Experimental tests of distributivity

The Cirel'son bound for the EPR experimental set-up provides a test of the distributivity of the observable algebra and is thus satisfied by Jordan algebras and distributive Segal algebras. By means of nondistributive algebras, the Cirel'son bound may be violated and the Rastall limit attained. It is also shown that Sherman's nondistributive Segal algebras are unsuitable as algebraic models of physical systems. (orig.)