Waves on Noncommutative SpaceTime and GammaRay Bursts
Abstract
Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski spacetime [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 gammaray bursts. We also outline a new approach to the construction of field theories on the noncommutative spacetime, with the noncommutativity equivalent under Fourier transform to nonAbelianness of the ``addition law'' for momentum in Feynman diagrams. We argue that CPT violation effects of the type testable using the sensitive neutralkaon system are to be expected in such a theory.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2000
 DOI:
 10.1142/S0217751X00002779
 arXiv:
 arXiv:hepth/9907110
 Bibcode:
 2000IJMPA..15.4301A
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 25 pages