Spacetime and Planck mass generation from scale-invariant degenerate gravity

TL;DR

This paper presents a scale-invariant gravitational model that dynamically generates the Planck mass and spacetime curvature, offering insights into fundamental mass scales without explicit dimensionful parameters.

Contribution

It introduces a novel scale-invariant gravity framework with degenerate vierbein limits, leading to the emergence of the Planck mass and curved spacetime from purely dynamical processes.

Findings

Planck mass arises dynamically from the model

Curved spacetime background emerges naturally

Scale invariance constrains the gravitational dynamics

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.