Spacetime and Planck mass generation from scale-invariant degenerate gravity

Abstract

We investigate a gravitational model based on local Lorentz invariance and general coordinate invariance. The model incorporates classical scale invariance, which forbids dimensionful parameters, and the irreversible vierbein postulate, which enables continuous degenerate limits of the vierbein, both at a specific scale. Through the dynamics of the system, we demonstrate the simultaneous emergence of the Planck mass and a curved spacetime background.

18 pages, 2 figures, version published in Phys. Rev. D

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• Cosmology and the Fate of Dilatation Symmetry
• The Higgs Phenomenon in Quantum Gravity
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Restricted Weyl invariance in four-dimensional curved spacetime
• Gravity from symmetry breaking phase transition

Cited by in corpus (1)

• $\mathcal{H}$olographic $\mathcal{N}$aturalness and Pre-Geometric Gravity