2011/10/25 by José Ricardo Oliveira, Oliveira, José Ricardo · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.48550/arxiv.1110.5387
29 pages, 8 figures. Essay submitted as partial fulfillment of the requirements for the Perimeter Scholars International MSc degree at the University of Waterloo/Perimeter Institute for Theoretical Physics. First draft submitted for assessment on June 1st, 2011. Minor corrections in the current version
arxiv created 2011/10/25 · openalex publication_date 2011/10/25 · arxiv updated 2011/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the main concepts of the recently introduced principle of relative locality and investigate some aspects of classical interactions between point particles from this new perspective. We start with a physical motivation and basic mathematical description of relative locality and review the treatment of a system of classical point particles in this framework. We then examine one of the unsolved problems of this picture, the apparent ambiguities in the definition of momentum constraints caused by a non-commutative and/or non-associative momentum addition rule. The gamma ray burst experiment is used as an illustration. Finally, we use the formalism of relative locality to reinterpret the well-known multiple point particle system coupled to 2+1 Einstein gravity, analyzing the geometry of its phase space and once again referring to the gamma ray burst problem as an example.