Doubly-Special Relativity from Quantum Cellular Automata
Bibeau-Delisle, A. · Bisio, A. · D'Ariano, G. M. · Perinotti, P. · Tosini, A.
Original · EN
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 (ω,k) space, with an additional invariant given by the wave-vector k=π/2. The space-time reconstructed from the (ω,k) space is intrinsically quantum, and exhibits the phenomenon of relative locality.
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