Abstract
The representation theory of a q-deformed Minkowski algebra, which is as quantum space a co-module of the q-Poincaré algebra, is studied. The spectra of the coordinates are discrete: space-time acquires a lattice-like structure. The eigenvalues grow exponentially and there are accumulation points on the light-cone.
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O. Ogievetskii, W. B. Schmidke, J. Wess, B. Zumino: q-Deformed Poincaré Algebra, Commun. Math. Phys.150, 492 (1992)
A. Lorek, W. Weich, J. Wess: Non-commutative Euclidean and Minkowski Structures, Z.Phys. C 76, 375 (1997)
B. L. Cerchiai, J. Wess: q-Deformed Minkowski Space based on a q-Lorentz Algebra, Eur. Phys. J. C 5 (3), 553 (1998)
B. L. Cerchiai: Hilbert Space Representations of a q-deformed Minkowski algebra, Ph.D. Thesis, Ludwig-Maximilians-Universität München, (1998)
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© 2000 Springer-Verlag Berlin Heidelberg
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Cerchiai, B.L. (2000). A Quantum Minkowski Space-Time. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_9
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DOI: https://doi.org/10.1007/3-540-46552-9_9
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