2019/11/30 by Andrzej Okolow, Andrzej Okołów
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Construct (python library) #Diffeomorphism #Homotopy and Cohomology in Algebraic Topology #Quantum #Quantum operation #Quantum state #Set (abstract data type) #Signature (topology) #Space (punctuation) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0219887821501103
published as Int. J. Geom. Meth. Mod. Phys. 18, 2150110 (2021) · 24 pages, no figures, LaTeX, new results added
openalex created_date 2019/11/22 · arxiv created 2020/01/20 · openalex publication_date 2021/03/02 · arxiv updated 2021/06/22 · openalex updated_date 2026/08/05
We construct a space of quantum states and an algebra of quantum observables, over the set of all metrics of arbitrary but fixed signature, defined on a manifold. The construction is diffeomorphism invariant, and unique up to natural isomorphisms.