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arXiv · 2309.16230

Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition

Yadikaer Maitiniyazi·Shinya Matsuzaki·Kin-ya Oda·Masatoshi Yamada
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Abstract

We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not contain an inverse vierbein. Under this postulate, only the spinor becomes a dynamical field, and no gravitational background field is introduced in the tree-level action. In this paper, after explaining the transformation rules of the local Lorentz and general-coordinate transformations in detail, a tree-level action is defined. We show that fermionic fluctuations can induce a nonvanishing gravitational background field.

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Yadikaer Maitiniyazi, Shinya Matsuzaki, Kin-ya Oda, Masatoshi Yamada. 2023-09-28. Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition. https://doi.org/10.1103/physrevd.109.106018

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