A characterization of quantic quantifiers in orthomodular lattices.
A Characterization of the State Space of Quantum Mechanics
A discrete and finite approach to past physical reality.
A mathematician's view of the development of physics
A measure-theoretic characterization of Boolean algebras among orthomodular lattices
We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.
A new approach to representation of observables on fuzzy quantum posets
We give a representation of an observable on a fuzzy quantum poset of type II by a pointwise defined real-valued function. This method is inspired by that of Kolesárová [6] and Mesiar [7], and our results extend representations given by the author and Dvurečenskij [4]. Moreover, we show that in this model, the converse representation fails, in general.
A note on asymptotic helix and quantum mechanical structure.
A note on codes and kets.
A note on the extensibility of states
A note on weak hidden variables
A remark on the comparison of Mackey and Segal models
A remark on the paper “Une martingale d'opérateurs bornés, non représentable en intégrale stochastique”, by J.L. Journé and P.A. Meyer
A representation of orthomodular lattices
A spectral theorem for MV-algebras
MV-algebras were introduced by Chang, 1958 as algebraic bases for multi-valued logic. MV stands for “multi-valued" and MV algebras have already occupied an important place in the realm of nonstandard (mathematical) logic applied in several fields including cybernetics. In the present paper, using the Loomis–Sikorski theorem for -MV-algebras, we prove that, with every element in a -MV algebra , a spectral measure (i. e. an observable) can be associated, where denotes the Boolean -algebra...
A spectral theory for order unit spaces
A study of independence in a set with orthogonality
A theory of local negation: the model and some applications.
Abstract physical traces.
An atomic MV-effect algebra with non-atomic center
Does there exist an atomic lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question (and slightly more) is given: An example of an atomic MV-effect algebra with a non-atomic Boolean subalgebra of sharp or central elements is presented.
An improved formulation of axioms for quantum mechanics