Quantum gravity: the Inverse problem

TL;DR

This paper proposes a linear, Lorentz-invariant approach to quantizing gravity by reformulating general relativity in terms of linear potentials, aiming for a simpler and more feasible quantum theory.

Contribution

It introduces a linear, covariant formulation of gravity that can be quantized using methods similar to quantum electrodynamics, offering a new perspective on quantum gravity.

Findings

The proposed theory is Lorentz invariant and linear.

It can be quantized using established QED techniques.

The approach simplifies the complex problem of quantum gravity.

Abstract

Quantizing the gravitational field described by General relativity being a notorious difficult, unsolved and maybe meaningless problem I use in this essay a different strategy: I consider a linear theory in the framework of Special relativity where the potentials are the components of four linear forms. General relativity and other similar covariant non linear theories can be formulated in this way. The theory that I propose is Lorentz invariant, linear, simple, and can be quantized following similar steps to those that led to quantum electrodynamics.