A Unique Theory of Gravity and Matter

TL;DR

This paper proposes a novel theoretical framework linking quantum gravity, brane excitations, and conformal gravity, suggesting that fundamental forces and particles emerge from topological symmetry breaking.

Contribution

It introduces a new quasi-topological action involving branes that models low-lying excitations in quantum gravity, connecting it to conformal gravity and symmetry breaking.

Findings

Effective action resembles conformal gravity in four dimensions.

Gravity and matter may originate from topological invariance breaking.

The model links quantum gravity excitations to brane dynamics.

Abstract

The author has previously suggested that the ground state for 4-dimensional quantum gravity can be represented as a condensation of non-linear gravitons connected by Dirac strings. In this note we suggest that the low-lying excitations of this state can be described by a quasi-topological action corresponding to a trilinear coupling of solitonic 8-branes and 7-branes. It is shown that when the 7-brane excitations are neglected, the effective action can be interpreted as a theory of conformal gravity in four dimensions. This suggests that ordinary gravity as well as supersymmetric matter and phenomenological gauge symmetries arise from the spontaneous breaking of topological invariance.