Kinematic quantum states for the Teleparallel Equivalent of General Relativity

TL;DR

This paper constructs a space of kinematic quantum states for the Teleparallel Equivalent of General Relativity using projective techniques, providing a foundation for canonical quantization without imposing constraints.

Contribution

It introduces a novel method to build kinematic quantum states for TEGR based solely on phase space structure, independent of constraints.

Findings

Constructed a space of quantum states for TEGR

Utilized projective techniques for state construction

Provides a basis for canonical quantization of TEGR

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 quantization of the theory.