Analogue of Null Geodesic in Quantum Spacetime

TL;DR

This paper introduces a 'tendency postulate' in quantum spacetime, suggesting that massless particles tend to follow regions with large quantum causal fluctuations, providing insights into black hole information leakage.

Contribution

It proposes a novel principle linking quantum causal fluctuations to particle trajectories, advancing understanding of quantum spacetime structure.

Findings

Supports the idea that information can escape black holes without superluminal signaling

Provides a model connecting quantum causal fluctuations with particle tendencies

Offers a new framework for understanding massless particle behavior in quantum spacetime

Abstract

In classical spacetime null geodesics give information on where free massless particles travel. In quantum spacetime where quantum indefiniteness renders spacetime fuzzy null geodesics as sharp trajectories cannot be retained. We propose a "tendency postulate" that gives information on where free massless objects tend to travel based exclusively on meaningful notions in quantum spacetime. It says that free massless objects tend to trace large quantum causal fluctuations. We implement the tendency postulate in concrete models of quantum spacetime that describe causal fluctuation. The tendency postulate supports the suggestion that information can leak out of black holes in a quantum spacetime without introducing superluminal signalling.