Causal Implication and the Origin of Time Dilation
  We discuss the emergence of time dilation as a normal feature expected of any system where a central processor may have to wait one or more clock cycles before concluding a local calculation. We show how the process of causal implication in a typical Newtonian cellular automaton leads naturally to Lorentz transformations and invariant causal structure. 
George Jaroszkiewicz (School of Mathematical Sciences, University of   Nottingham, UK)