内容：

I will present an overview of the derivation of free quantum field theory (QFT) from general principles, without assuming mechanical notions and Lorentz symmetry. The framework resulting from the principles is a quantum automaton framework, with QFT resulting in the relativistic limit for small wave-vectors. After reviewing the scheme of the derivation from principles, we will analyze the emergence of Lorentz covariance along with the full interpolation up to the nonlinear Lorentz group holding at the Planck scale, based on a general group theoretical notion of reference-frame. I will also show how some GR-related notions emerge, e.g. the mini black-hole corresponding to a bound for the inertial mass of the Dirac particle due solely to unitarity. Some preliminary computer simulations will be also shown, and possible visible effects of an hypothetical Planck-scale will be discussed.

G. Chiribella, G. M. D'Ariano, P. Perinotti, Informational derivation of Quantum Theory Phys. Rev A 84 012311 (2011)
G. M. D'Ariano, P. Perinotti, Derivation of the Dirac Equation from Principles of Information processing, Phys. Rev. A (2014)
A. Bisio, G. M. D'Ariano, P. Perinotti, Quantum Cellular Automaton Theory of Light (1407.6928)
G. M. D'Ariano and A. Tosini, Emergence of Space-Time from Topologically Homogeneous Causal Networks, Studies in History and Philosophy of Modern Physics 44 294 (2013)
A. Bibeau-Delisle, A. Bisio, G. M. D'Ariano, P. Perinotti, A. Tosini, Doubly-Special Relativity from Quantum Cellular Automata, EPL in press
A. Bisio, G. M. D'Ariano, A. Tosini, Dirac quantum cellular automaton in one dimension: Zitterbewegung and scattering from potential, Phys. Rev A 88 032301 (2013)
G. M. D'Ariano, Nicola Mosco, Paolo Perinotti, Alessandro Tosini, Path-integral solution of the one-dimensional Dirac quantum cellular automaton,  Phys. Lett. A 378 (2014) 3165
G. M. D'Ariano, N. Mosco, P. Perinotti, A. Tosini, Discrete Feynman propagator for the Weyl quantum walk in 2+1 dimensions (1410.6032)
A. Bisio, G. M. D'Ariano, Alessandro Tosini, Quantum Field as a Quantum Cellular Automaton: the Dirac free evolution in one dimension, Annals of Physics 354 244 (2015)

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