Quantizing speeds with the cosmological constant

TL;DR

This paper demonstrates that in a quantum gravity model with a positive cosmological constant, particle speeds become quantized, leading to a deformed Poincare symmetry and new physical insights.

Contribution

It introduces the concept of speed quantization in the Barrett-Crane spin foam model with a cosmological constant and explores its physical implications.

Findings

Speeds are quantized in the model.

An effective deformed Poincare symmetry emerges.

Implications for quantum gravity and cosmology.

Abstract

Considering the Barrett-Crane spin foam model for quantum gravity with (positive) cosmological constant, we show that speeds must be quantized and we investigate the physical implications of this effect such as the emergence of an effective deformed Poincare symmetry.