An Improved Framework for Quantum Gravity

TL;DR

This paper proposes an improved quantum gravity framework by replacing general relativity with teleparallel gravity and special relativity with de Sitter-invariant special relativity, addressing key issues in quantization.

Contribution

It introduces de Sitter-modified teleparallel gravity as a novel approach that overcomes fundamental problems of general relativity in quantum gravity.

Findings

Addresses the lack of a pure gravitational variable.

Resolves incompatibility with quantum mechanics.

Provides a viable alternative for quantum gravity.

Abstract

General relativity has two fundamental problems that render it unsuitable for tackling the gravitational field's quantization. The first problem is the lack of a genuine gravitational variable representing gravitation only, inertial forces apart. The second problem is its incompatibility with quantum mechanics, a problem inherited from the more fundamental conflict of special relativity with quantum mechanics. A procedure to overcome these difficulties is outlined, which amounts to replacing general relativity with its teleparallel equivalent and the Poincar\'e-invariant special relativity with the de Sitter-invariant special relativity. Those replacements give rise to the de Sitter-modified teleparallel gravity, which does not have the two mentioned problems. It can thus be considered an improved alternative approach to quantum gravity.