Quantum duality: A source point of view

Quantum Measurements from a Logical Point of View

We introduce a logic modelling some aspects of the behaviour of the measurement process, in such a way that no direct mention of quantum states is made, thus avoiding the problems associated to this rather evasive notion. We then study some properties of the models of this logic, and deduce some characteristics that any model (and hence, ideally, any formulation of quantum mechanics compatible ...

Purposeful Choice and Point-of-View - A Generalized Quantum Approach

This paper presents a generalized quantum model for describing purposes or goals of individual agents, and the way choices can be made that enable these goals to be achieved. The underlying model is a semantic vector space model, which is turned into a purposeful choice model by labelling some axes as objectives, and describing choices as transformations on the vector spaces that enable agents ...

Generalized Quantum Relativistic Kinematics: a Stability Point of View

We apply Lie algebra deformation theory to the problem of identifying the stable form of the quantum relativistic kinematical algebra. As a warm up, given Galileo’s conception of spacetime as input, some modest computer code we wrote zeroes in on the Poincaré-plus-Heisenberg algebra in about a minute. Further ahead, along the same path, lies a three dimensional deformation space, with an instab...

Three dimensional quantum algebras: a Cartan-like point of view

A perturbative quantization procedure for Lie bialgebras is introduced and used to classify all three dimensional complex quantum algebras compatible with a given coproduct. The role of elements of the quantum universal enveloping algebra that, analogously to generators in Lie algebras, have a distinguished type of coproduct is discussed, and the relevance of a symmetrical basis in the universa...

Fuzzy sets form A meta-system-theoretic point of view