Violation of time symmetry
  Recently, [{arXiv:0810.3134}] is accepted and published. We would like to study the relation between a local realistic theory and commutativity of observables in a finite-dimensional space. We would like to conjecture that a realistic theory of the Bell type (a local realistic theory) for events would not imply the commutative algebraic structure into the set of all observables if all experimental events would be reproduced by a local realistic theory. We would like to suggest that a violation of Bell locality would be derived within a realistic theory of the Kochen-Specker type within quantum events. 
Koji Nagata