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arXiv · 1310.6760

Doubly-Special Relativity from Quantum Cellular Automata

A. Bibeau-Delisle·A. Bisio·G. M. D'Ariano·P. Perinotti·A. Tosini
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Abstract

It is shown how a Doubly-Special Relativity model can emerge from a quantum cellular automaton description of the evolution of countably many interacting quantum systems. We consider a one-dimensional automaton that spawns the Dirac evolution in the relativistic limit of small wave-vectors and masses (in Planck units). The assumption of invariance of dispersion relations for boosted observers leads to a non-linear representation of the Lorentz group on the $(\omega,k)$ space, with an additional invariant given by the wave-vector $k=\pi /2$. The space-time reconstructed from the $(\omega,k)$ space is intrinsically quantum, and exhibits the phenomenon of relative locality.

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A. Bibeau-Delisle, A. Bisio, G. M. D'Ariano, P. Perinotti, A. Tosini. 2013-10-24. Doubly-Special Relativity from Quantum Cellular Automata. https://doi.org/10.1209/0295-5075/109/50003

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