Discrete quantum gravity: continuum limit and the problem of state doubling

TL;DR

This paper investigates discrete quantum gravity on irregular lattices and demonstrates that state doubling, a potential issue, is absent at energies accessible in experiments when the continuum phase is realized.

Contribution

It shows that state doubling does not occur at accessible energies in discrete quantum gravity on irregular lattices with a continuum phase.

Findings

State doubling is absent at experimentally accessible energies.

The continuum phase suppresses the phenomenon of state doubling.

Discrete quantum gravity on irregular lattices can be consistent with experimental observations.

Abstract

It is shown that in the theory of discrete quantum gravity defined on the irregular "breathing" lattice, if the macroscopic continuum phase is realized, the phenomenon of state doubling (even if it exists formally at kinematic level) actually is absent at experimentally accessible energies.