Gravity's weight on worldline fuzziness

TL;DR

This paper explores how 3D quantum gravity-inspired noncommutative spacetime models can explain the potential for observable fuzziness in particle worldlines over cosmological distances, linking theoretical models with heuristic ideas.

Contribution

It demonstrates that 3D quantum gravity models naturally incorporate worldline fuzziness consistent with earlier heuristic proposals, especially over large cosmic scales.

Findings

Gravity-induced worldline fuzziness is negligible on Earth.

Fuzziness could be significant over cosmological distances.

Noncommutative spacetime models reflect heuristic quantum gravity ideas.

Abstract

We investigate a connection between recent results in 3D quantum gravity, providing an effective noncommutative-spacetime description, and some earlier heuristic descriptions of a quantum-gravity contribution to the fuzziness of the worldlines of particles. We show that 3D-gravity-inspired spacetime noncommutativity reflects some of the features suggested by previous heuristic arguments. Most notably, gravity-induced worldline fuzziness, while irrelevantly small on terrestrial scales, could be observably large for propagation of particles over cosmological distances.