2017/03/18 by Marco Laudato, Laudato, M.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1703.07249
openalex publication_date 2017/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we have studied classical and quantum systems in interaction by means of geometric reduction procedure. The main target is the description in these terms of fundamental interactions. We have shown that, to describe in a canonical way (i.e., in terms of Poisson/Dirac Brackets) even a simple system like the relativistic free particle, one has to deal with non-commutative positions. We have explored some consequences of this result in the framework of Non-Commutative Geometry and in Quantum Gravity.