Two-letter words and a fundamental homomorphism ruking geometric contextuality - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Symmetry, Culture and Science Année : 2017

Two-letter words and a fundamental homomorphism ruking geometric contextuality

Résumé

It has recently been recognized by the author that the quantum contextuality paradigm may be formulated in terms of the properties of some subgroups of the two-letter free group $G$ and their corresponding point-line incidence geometry $\mathcal{G}$. I introduce a fundamental homomorphism $f$ mapping the (infinitely many) words of G to the permutations ruling the symmetries of $\mathcal{G}$. The substructure of $f$ is revealing the essence of geometric contextuality in a straightforward way.
Fichier non déposé

Dates et versions

hal-02131387 , version 1 (16-05-2019)

Identifiants

  • HAL Id : hal-02131387 , version 1

Citer

Michel Planat. Two-letter words and a fundamental homomorphism ruking geometric contextuality. Symmetry, Culture and Science, 2017, 28 (3), pp.255 - 270. ⟨hal-02131387⟩
18 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More