2006/08/10 by Florian Koch, Koch, Florian
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Canonical quantization #Classical mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #Formalism (music) #Geometric quantization #Geometry #Heisenberg picture #High Energy Physics - Theory (hep-th) #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase space #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Spacetime #Theoretical physics #Torsion (gastropod) #Twist #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0608064
published in arXiv (Cornell University) (Cornell University) · 24 pages
arxiv created 2006/08/10 · openalex publication_date 2006/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Moyal-Weyl quantization procedure is embedded into the twist formalism of vector fields on phase space. Double application of twists provide most general deformations of Minkowskian Heisenberg-algebras and corresponding quantizations of the Lorentz-algebra. Such deformations deliver high-energy extensions of standard relativistic quantum mechanics. These are required to obtain minimal uncertainty properties for high-energy spacetime measurements that standard quantum mechanics lacks. The procedure of double twist application is outlined. We give an instructive and genuine example.