Quantum Gravity:the axiomatic approach, a possible interpretation

TL;DR

This paper explores an axiomatic approach to quantum gravity, proposing a framework where gravitational waves exist without gravitons, leading to a novel quantum cosmological scenario based on Lorentz manifolds and specific energy-momentum restrictions.

Contribution

It introduces a new interpretation of quantum gravity using an axiomatic framework that excludes gravitons and suggests a primordial quantum cosmology model.

Findings

Gravitational waves can exist without gravitons in this framework.

Lorentz manifolds foliated by isotropic hypersurfaces are key to the model.

A new quantum cosmological scenario is proposed based on these structures.

Abstract

Twenty years ago, by extending the Wightman axiom framework, it has been found possible to quantize only a conformal factor of the gravitational field. Gravitons being excluded from this quantum scalar field theory, numerous attempts were done to give a valuable description of what could be quantum gravity. In this talk we present a familly of Lorentz manifolds which can be foliated by isotropic hypersurfaces and pose severe restrictions on the form of the energy-momentum tensor in Einstein's equations. They can be associated to gravitational waves "without gravitons" in a vacuum described by two cosmological functions, but not to a massless particle flow. From this cross-checking with the previous remark, a "very" primordial quantum cosmological scenario is proposed.