Kinematic quantum states for the Teleparallel Equivalent of General Relativity

2013/04/30 by Andrzej Okolow, Andrzej Okołów · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Classical mechanics #Differential geometry #General relativity #Geometry #Kinematics #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase space #Physics #Quantization (signal processing) #Quantum #Quantum Mechanics and Applications #Quantum gravity #Quantum mechanics #Theoretical physics #Theory of relativity #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/s10714-013-1653-3

published as Gen. Rel. Grav. 46:1653 (2014) · 41 pages, no figures, Latex2e

openalex publication_date 2014/01/01 · arxiv created 2014/07/14 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A space of kinematic quantum states for the Teleparallel Equivalent of General Relativity is constructed by means of projective techniques. The states are kinematic in this sense that their construction bases merely on the structure of the phase space of the theory and does not take into account constraints on it. The space of quantum states is meant to serve as an element of a canonical background independent quantization of the theory.

Citations

• Quantum gravity: a progress report
• Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
• New Variables for Classical and Quantum Gravity
• New Hamiltonian formulation of general relativity
• Real Ashtekar variables for Lorentzian signature space-times
• Projective techniques and functional integration for gauge theories
• CONSERVED CURRENT FOR GENERAL TELEPARALLEL MODELS
• Representation Theory of Analytic Holonomy C* Algebras

Cited by

• Space of quantum states built over metrics of fixed signature
• A modification of the projective construction of quantum states for field theories