Generalized possibilistic Theories: the multipartite experiments problem - Institut de Physique de Nice Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Generalized possibilistic Theories: the multipartite experiments problem

Eric Buffenoir
  • Fonction : Auteur
  • PersonId : 1085353

Résumé

In a recent paper, the author introduced an operational description of physical theories where probabilities are replaced by counterfactual statements belonging to a three-valued (i.e. possibilistic) semantic domain. The complete axiomatic of these Generalized possibilistic Theories is generalized and clarified in the present paper. The problem of bipartite experiments is then addressed as the main skill of this paper. An axiomatic for the tensor product of our spaces of states is given and different solutions are explicitly constructed. This description of tensor products of Inf semi-lattices is partly independent from the usual mathematical description of this problem. The nature of the tensor product of orthocomplemented Inf semi-lattices is then also explored. This subject is indeed fundamental for the development of a reconstruction program for quantum theory within our framework. Our analysis constitutes a first step towards this achievement.
Fichier principal
Vignette du fichier
quantum-domain3.pdf (448.52 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03725872 , version 1 (18-07-2022)
hal-03725872 , version 2 (09-12-2022)
hal-03725872 , version 3 (15-03-2023)
hal-03725872 , version 4 (18-10-2023)

Identifiants

Citer

Eric Buffenoir. Generalized possibilistic Theories: the multipartite experiments problem. 2023. ⟨hal-03725872v3⟩
71 Consultations
75 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More