A Quantum Minkowski Space-Time
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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.
- 4.B. L. Cerchiai: Hilbert Space Representations of a q-deformed Minkowski algebra, Ph.D. Thesis, Ludwig-Maximilians-Universität München, (1998)Google Scholar