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Analogue of Null Geodesic in Quantum Spacetime

2018/01/23 by Ding Jia, Jia, Ding
Mathematics · Physics and Astronomy · #Background independence #Black Holes and Theoretical Physics #Causal sets #Classical mechanics #Computer science #Geodesic #Geometry #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Null (SQL) #Physics #Quantum #Quantum Mechanics and Applications #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Quantum spacetime #Spacetime #Spacetime symmetries #Stationary spacetime #Theoretical physics #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1801.07673

29 pages, 1 figure

arxiv created 2018/01/23 · openalex publication_date 2018/01/23 · arxiv updated 2018/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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