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arXiv · hep-th/9907110

Waves on Noncommutative Spacetime and Gamma-Ray Bursts

Giovanni Amelino-Camelia·Shahn Majid
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Abstract

Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski spacetime $[x^i,t]=\imathλx^i$. A natural wave equation is derived and the associated phenomena of {\it 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 spacetime, 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.

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Giovanni Amelino-Camelia, Shahn Majid. 1999-07-14. Waves on Noncommutative Spacetime and Gamma-Ray Bursts. https://doi.org/10.1142/s0217751x00002779

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