Title: Emergent Quantum Gravity from Irreversible Vierbein: A Scale-Invariant Realization

Abstract: We propose a novel approach to quantum gravity based on the irreversible vierbein postulate, in which the inverse vierbein is absent at the fundamental level. In this framework, spacetime structures—including an invertible metric and the Planck mass—can dynamically emerge through quantum effects. To explicitly demonstrate how this scenario can be realized, we present a concrete scale-invariant model. Within this realization, fermionic fluctuations trigger a quantum phase transition, naturally generating spacetime and gravitational scales. In this talk, we clarify the physical motivations behind the irreversible vierbein approach, outline the general formalism, and discuss possible implications for cosmology and gravitational phenomenology.