Abstract
In the universe of cellular automata, one can identify many concrete concepts and examples that mimic concepts and phenomena of matter in the classical, quantum, and relativistic world of physics. Historically, quantum theory started with Bohr’s atomic model of an atomic nucleus and discrete orbits of electrons, which remind us of the planetary models of antiquity. In the world of cellular automata, the discrete electron orbits around the nucleus are realized by isles of Eden. But, Bohr’s model was only a rough approximation to the real quantum world. Because of its simplicity and central symmetry, it is still used as an illustration. Bohr’s symmetry is only an approximate model. But, the exact symmetries of the quantum world lie deeper in the mathematical structure of transformation groups.
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