2019/01/19 by R. Vilela Mendes · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Commutative property #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Planck #Planck length #Planck scale #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Scale (ratio) #Spacetime #Theoretical physics #astro-ph.HE #hep-th
paper · pdf · doi:10.1103/physrevd.99.123006
published in Physical review. D/Physical review. D. 99(12) (American Physical Society) · 29 pages latex, 7 figures
openalex created_date 2019/01/11 · arxiv created 2019/01/19 · openalex publication_date 2019/06/10 · arxiv updated 2019/06/19 · openalex updated_date 2026/08/05
The noncommutativity of the spacetime coordinates has been explored in several contexts, mostly associated with phenomena at the Planck length scale. However, approaching this question through deformation theory and the principle of stability of physical theories, one concludes that the scales of the noncommutativity of the coordinates and the noncommutativity of the generators of translations are independent. This suggests that the scale of the spacetime coordinates' noncommutativity could be larger than the Planck length. This paper attempts to explore the experimental perspectives to settle this question, either in the lab or by measurements of phenomena of cosmological origin.