On Teleparallel Quantum Gravity in Schwarzschild Space-Time

TL;DR

This paper develops a quantization framework for Schwarzschild space-time within Teleparallel gravity using Weyl formalism, introducing a fundamental constant to define quantum matter through eigenfunction periodicity.

Contribution

It presents a novel quantization method for Schwarzschild space-time in Teleparallel gravity employing Weyl formalism and a new fundamental constant.

Findings

Established a quantization procedure for Schwarzschild space-time in Teleparallel gravity.

Introduced a fundamental constant to define quantum matter.

Proposed a method to impose periodic conditions on eigenfunctions.

Abstract

In this article we present the quantization process for Schwarzschild space-time in the context of Teleparallel gravity. In order to achieve such a goal we use the Weyl formalism that establishes a well defined correspondence between classical quantities which are realized by functions and quantum ones which are realized by operators. In the process of quantization we introduce a fundamental constant that is used to construct what we call the quantum of matter by the imposition of periodic conditions over the eigenfunction.