Abstract
A time-reversible cellular automaton can most easily be described by regarding its evolution law as a two-step process, for instance by first allowing the even sites to update, then the odd sites. The discrete Hamiltonian operator procedure of Chap. 19 may be used. Subsequently, we apply a perturbative algebra, starting from the Baker Campbell Hausdorff expansion.
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’t Hooft, G. (2016). The Cellular Automaton. In Fundamental Theories of Physics (Vol. 185, pp. 261–268). Springer. https://doi.org/10.1007/978-3-319-41285-6_21
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