2000/10/30 by GIOVANNI AMELINO-CAMELIA, SHAHN MAJID · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories
paper · doi:10.1142/s0217751x00002779
openalex publication_date 2000/10/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski space–time [x i , t]=ιλx i . A natural wave equation is derived and the associated phenomena of in vacuo dispersion are discussed. Assuming the deformation scale λ is of the order of the Planck length one finds that the dispersion effects are large enough to be tested in experimental investigations of astrophysical phenomena such as gamma-ray bursts. We also outline a new approach to the construction of field theories on the noncommutative space–time, with the noncommutativity equivalent under Fourier transform to non-Abelianness of the "addition law" for momentum in Feynman diagrams. We argue that CPT violation effects of the type testable using the sensitive neutral-kaon system are to be expected in such a theory.