First Conservation Laws Derived For A Virtual Universe - Technology Review: The climax of Toffoli and Capobianco's paper is their demonstration that energy can only be conserved if the space-time is invariant, that all directions and times in this Ising Universe are essentially equivalent.
In this way, they show how a Noether-like theorem can apply in a discrete universe.
That's hugely significant. It means that the same rules of symmetry that have been powerfully applied to modern physics can also apply to the many new disciplines that are beginning to exploit discrete models.
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