Gravity from Pre-geometry
Andrea Addazi, Salvatore Capozziello, Antonino Marciano, Giuseppe, Meluccio

TL;DR
This paper proposes that gravity emerges from a spontaneous symmetry breaking in a pre-geometric gauge theory, suggesting a fundamental origin of spacetime and gravity that could unify quantum and gravitational physics.
Contribution
It introduces a gauge-theoretic framework on SO(1,4) or SO(3,2) bundles where Einstein gravity and spacetime geometry emerge dynamically from symmetry breaking.
Findings
Gravity and spacetime geometry are emergent phenomena.
The Planck mass and cosmological constant are shown to be emergent parameters.
The theory may be power-counting renormalisable without matter in the unbroken phase.
Abstract
The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a formulation \`a la Yang-Mills on an SO(1,4) or SO(3,2) principal bundle and not accounting for a spacetime metric, the Einstein-Hilbert action is recovered after the identification of the effective spacetime metric and spin connection for the residual SO(1,3) gauge symmetry of the spontaneously broken phase - i.e. the stabiliser of the SO(1,4) or SO(3,2) gauge group. Thus, the two fundamental tenets of General Relativity, i.e. diffeomorphism invariance and the equivalence principle, can arise from a more fundamental gauge principle. The two mass parameters that characterise Einstein gravity, namely the Planck mass and the cosmological constant, are likewise…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeophysics and Gravity Measurements · Relativity and Gravitational Theory
