2024/04/09 by Nosratollah Jafari, Jafari, Nosratollah
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2404.08553
openalex publication_date 2024/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the history of the curved momentum space from Max Born to the recent relative locality, \kappa-Poincare and noncommutative geometric proposals. We found that the concept of the curvature in the momentum space and motivations has been evolved during 80 years from the Max Born time. Motivations has been evolved from introducing general relativistic like equation for the momentum space to the relaxation of the concept of locality in special relativity and non-commutativity. This study can help us for a better understanding of this concept in quantum gravity.