Does loop quantum gravity imply Lambda=0?

TL;DR

This paper explores a quantum gravity framework indicating that a non-zero cosmological constant significantly constrains the state space, implying the universe likely started with zero cosmological constant.

Contribution

It introduces a connection between Vassiliev invariants in quantum gravity and the value of the cosmological constant, proposing that non-zero Lambda reduces the state space.

Findings

Non-zero Lambda constrains the state space in the proposed framework

The initial universe state likely had Lambda=0

Vassiliev invariants play a key role in the state space structure

Abstract

We suggest that in a recently proposed framework for quantum gravity, where Vassiliev invariants span the the space of states, the latter is dramatically reduced if one has a non-vanishing cosmological constant. This naturally suggests that the initial state of the universe should have been one with $\Lambda=0$.